.

Матрично-топологічний синтез структур вентильних перетворювачів: Автореф. дис… д-ра техн. наук / М.Ю. Артеменко, НАН України. Ін-т електродинаміки.

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IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE

?INOEOOO AEAEO?IAeEIAI?EE

Ia i?aaao ?oeiieno

A?OAIAIEI Ieoaeei THoeiiae/

OAeE 621.314.58

IAO?E*II-OIIIEIA?*IEE NEIOAC NO?OEOO?

AAIOEEUeIEO IA?AOAI?THAA*?A

Niaoe?aeuei?noue: 05.09.12 – Iai?ai?ia?aeieeia? ia?aoai?thaa/?
aeaeo?iaia?a??

AAOI?AOA?AO

aeenna?oaoe?? ia caeiaoooy iaoeiaiai

nooiaiy aeieoi?a oaoi?/ieo iaoe

Ee?a – 1998

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia ia eaoaae?? i?iieneiai? aeaeo?ii?ee Iaoe?iiaeueiiai
oaoi?/iiai oi?aa?neoaoo Oe?a?ie “EI?” I?i?noa?noaa ina?oe Oe?a?ie,
i.Ee?a.

Iaoeiaee eiinoeueoaio ( aeieoi? oaoi?/ieo iaoe, i?ioani?

AEoeeia Aaea??e sseiae/,

Iaoe?iiaeueiee oaoi?/iee oi?aa?neoao Oe?a?ie “EI?”, caa?aeoaa/ eaoaae?e

Io?oe?ei? iiiiaioe:

(aeieoi? oaoi?/ieo iaoe, i?ioani? Aeieaiy A?eoi? Oeiio?eiae/,

Oa?e?anueeee Aea?aeaaiee iie?oaoi?/iee oi?aa?neoao, i?ioani? eaoaae?e;

(aeieoi? oaoi?/ieo iaoe, noa?oee iaoeiaee ni?a?ia?oiee Iaaeia A?eoi?
Ai?eniae/,

?inoeooo aeaeo?iaeeiai?ee IAI Oe?a?ie; i?ia?aeiee iaoeiaee
ni?a?ia?oiee;

(aeieoi? oaoi?/ieo iaoe, i?ioani? ?yaaiueeee Aieiaeeie? Ieoaeeiae/,

Oe?a?inueeee aea?aeaaiee ii?nueeee oaoi?/iee oi?aa?neoao “IE?”, i.
Ieeiea?a, caa?aeoaa/ eaoaae?e.

I?ia?aeia onoaiiaa – Iaoe?iiaeueia a??ie/a aeaaeai?y Oe?a?ie
I?i?noa?noaa ina?oe Oe?a?ie, i. Aei?i?iiao?ianuee, eaoaae?a nenoai
aeaeo?iiinoa/aiiy.

Caoeno a?aeaoaeaoueny 30 a?oaeiy 1998 ?. ia 1100 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 26. 187. 01 a ?inoeooo?
aeaeo?iaeeiai?ee IAI Oe?a?ie, ca aae?anith: 252680, Ee?a – 57, i?.
Ia?aiiae, 56, oae. 446-91-15.

C aeena?oaoe??th iiaeia iciaeiieoeny o a?ae?ioaoe? ?inoeoooo
aeaeo?iaeeiai?ee IAI Oe?a?ie ca aae?anith i. Ee?a, i?. Ia?aiiae, 56.

Aaoi?aoa?ao ?ic?neaii 26 eenoiiaaea 1998 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee
Oaae?e A.N.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aia?aicaa??aaiiy ? i??i?eoaoiei iai?yieii aea?aeaaii? iie?oeee Oe?a?ie.
Aiae?c i?ioean?a ae?iaeaiiy, ia?aaea/? oa ia?aoai?thaaiiy aia?a??
na?ae/eoue, ui aaee/aci? ?aca?ae i?noyoueny ia yoai? ?? ia?aoai?thaaiiy,
/anoea yeiai neeaaea? aei 60% ia’?io ae?iaeaii? aeaeo?iaia?a??. A
oeueiio ca’yceo c?inoa? cia/aiiy aoaeoeaiino? ?ic?iaee i?eno?i?a
ia?aoai?thaaeueii? oaoi?ee, iniiao yeeo neeaaeathoue iai?ai?ia?aeieeia?
ia?aoai?thaa/? aeaeo?iaia?a??.

Aeooaeuei?noue oaie. Aaciaeie aeaiaioaie ia?aoai?thaaeueieo i?eno?i?a ?
aeaeo?e/i? aaioee? ( neeia? iai?ai?ia?aeieeia? i?eeaaee, ye?
i?aoeththoue a eeth/iaiio ?aaeei? (o?aicenoi?e, oe?enoi?e, ae?iaee).
Niaoeeo?ea aaioee?a ye ?noioii iae?i?eieo aeaiaio?a aeaeo?e/ieo e?e
iaoiiaeea ?icaeoie iaoeiai-aeine?aeieo ?ia?o ii iiaeaethaaiith, aiae?co
oa neioaco aaioeeueieo ia?aoai?thaa/?a (AI). O i?aoeyo a?o/eciyieo oa
ca?oa?aeieo a/aieo aeaaeai?e?a *eaeaiea ?.I., Oeaeeianueeiai A.E.,
/eaia-ei?aniiiaeaioa Aieeiaa ?.A., ae.o.i. Aeieai? A.O., Eaaaiiaa ?.E.,
Eaaoioeiaa A.I. caeeaaeai? oai?aoe/i? iniiae aiae?co, ?ic?iaee oa
i?iaeooaaiiy oaeeo eeann?a ia?aoai?thaaeueieo i?eno?i?a, ye ea?iaai?
aei?yiey/?, aaoiiiii? ?iaa?oi?e, eiiiainaoi?e ?aaeoeaii? iiooaeiino?,
?iaeoeoeaii-?ii?ni? ia?aoai?thaa/?, ia?aoai?thaa/? /anoioe,
oe?ioii-?iioeueni? ia?aoai?thaa/?.

Iaeiae aei oaia??oiueiai /ano iiooe iiaeo noai ia?aoai?thaa/?a
aaaeaoueny ia?aaaaeii ?ioo?oeaii ia aac? iiia?aaeiueiai aeina?aeo
?ic?iaieea, ui ia aea? iiaeeeaino? i?aeoaa?aeeoe aai ni?inooaaoe iiaiioo
io?eioaaieo noaiieo ??oaiue, a ioaea, ? ia aa?aioo? iioeiaeueiino?
e?ioeaaiai ?acoeueoaoo. Cia/ii i?aeaeueoe aoaeoeai?noue ?ic?iaee
i?eno?i?a ia?aoai?thaaeueii? oaoi?ee iiaeeeai a i?ioean? eiii’thoa?iiai
i?iaeooaaiiy, ia ia?oiio aoai? yeiai ye aaca aeaieo aeei?enoiaothoueny
iiai? iaai?e noai ??ciiiai?oieo eean?a AI. Iaoeiai iaa?oioiaaiee neioac
no?oeoo? aaioeeueieo ia?aoai?thaa/?a ? iaei??th c iaeneeaaei?oeo oa
iaeiaio ?ica’caieo i?iaeai no/anii? ia?aoai?thaaeueii? oaoi?ee. ?nioth/?
iaoiaee neioaco caeaa?eueoiai i???ioiaai? ia ie?ai? eeane AI ? iathoue
iaiaaeai? iiaeeeaino?. A?aenooiy caaaeueia oai??y aaia?aoe?? iiaieo
iaai??a noai ia?aoai?thaaeueieo i?eno?i?a c aaioeeyie, ia oi?iae?ciaai?
aeanoeaino? AI oa e?eoa??? i?aoeacaeaoiino?. Ona oea aecia/a?
aeooaeuei?noue i?iaeaie ?ic?iaee oa i?aeoe/iiai canoinoaaiiy iaoiaeo
no?oeoo?iiai neioaco AI, i???ioiaaiiai ia oe?eani?yiiaaiee iiooe iiaieo
iaai??a noai ?c cacaeaeaa?aeue caaeaieie aeanoeainoyie.

Ca’ycie aeena?oaoe?? c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie.
Iaoeiai-aeine?aeia ?iaioa ca oaiith aeena?oaoe?? i?iaiaeeeanue o
a?aeiia?aeiino? c Eii?aeeiaoe?eiei ieaiii AI O?N? ia 1985-1990 ??.
(eiiieaenia i?iaeaia “Iaoeia? iniiae aeaeo?iaia?aaoeee”, i.
1.9.2.2.1.1.1), oa ca?aeii c Aea?aeaaiith iaoeiai-oaoi?/iith i?ia?aiith
I?i?noa?noaa Oe?a?ie o ni?aaao iaoee ? oaoiieia?e ia 1997-1998 ?.?.
“Aenieiaoaeoeai? aia?aicaa??aath/? aia?aioaoiieia?/i? oa aeaeo?ioaoi?/i?
nenoaie” (oeo? 04.08).

Iaoa oa iniiai? caaaeaiiy iaoeiaiai aeine?aeaeaiiy. Iaoith
aeena?oaoe?eii? ?iaioe ? iiaeaeueoee ?icaeoie oai?aoe/ieo iieiaeaiue
iiaoaeiae noai aaioeeueieo ia?aoai?thaa/?a ? noai?aiiy ia ?o iniia?
iao?e/ii-oiiieia?/iiai iaoiaeo no?oeoo?iiai neioaco AI aeey io?eiaiiy
iiaieo iaai??a noai iniiaieo eean?a AI ?c caaeaieie aeanoeainoyie,
aeyaeaiiy na?aae ieo iiaeo oa aea?? iioeiaeueieo noai ca caaeaieie
e?eoa??yie.

Aeey aeinyaiaiiy iaoe a aeena?oaoe?? ae??ooaaeeny oae? iniiai?
caaaeaiiy:

?icaeoie iao?e/ii-oiiieia?/ii? oai??? iiaoaeiae noai AI oa ?ic?iaea ia
?? iniia? iaoiaeo no?oeoo?iiai neioaco AI ?c canoinoaaiiyi aieiaii?
oiiieia?/ii? iao?eoe? (AOI)

?ic?iaea iaoiaeee aaia?aoe?? iiaieo iaai??a noai iniiaieo eean?a AI
oeyoii aeei?enoaiiy ?ic?iaeaiiai iaoiaeo neioaco o aeaeyae? iiaiiai oa
oe?eani?yiiaaiiai ia?aai?o, a oaeiae canoinoaaiiy eiai aei iae?iiiaeaeae
neeaaeiaeo /anoei AI o aeaeyae? i?aenoai;

?ic?iaea iaoiaeo aiae?co aeai?ioa?aaeueieo ia?aoai?thaa/?a iino?eii?
iai?oae oa aaeaioaoe?y eiai aei iao?e/ii-oiiieia?/ii? oi?ie neioaco c
iaoith ?aae?caoe?? aeanoeainoae, ui caaeathoueny i?e aiae?oe/i?e
iiaoaeia? aeacaieo ia?aoai?thaa/?a;

aeyaeaiiy oa ?ic?iaea iiaeo noai AI;

?ic?iaea e?eoa???a aeai?o iioeiaeueieo noaiieo ??oaiue ie?aieo eean?a AI
aeey caaeaieo oiia aenieoaoaoe??;

?ic?iaea oa ai?iaaaeaeaiiy i?iieneiaeo c?ace?a AI, iiaoaeiaaieo ca
iiaeie noaiaie, i?ia?aiiiai caaacia/aiiy iaoiae?a aiae?co oa neioaco
aeey aeai?o iioeiaeueieo aa??aio?a AI ca caaeaiei e?eoa???i.

Iaoeiaa iiaecia iaea?aeaieo aaoi?ii ?acoeueoao?a iieyaa? a ianooiiiio:

1.Iaa?oioiaai? iia? oai?aoe/i? iieiaeaiiy, ui ?icaeaathoue
iao?e/ii-oiiieia?/io oai??th neioaco aaioeeueieo ia?aoai?thaa/?a ia
iniia? aieiaii? oiiieia?/ii? iao?eoe? ?c canoinoaaiiyi oiiieia?/ieo
e?eoa???a i?aoeacaeaoiino? oa oiiieia?/ieo aea?aaeaio?a aeanoeainoae
noai, ui neioacothoueny.

2.A?aee?eo? ia a?aeii? ?ai?oa oiiieia?/i? caeiiii??iino?, i?eoaiaii?
noaiai aaioeeueieo ia?aoai?thaa/?a, ye? aeicaieythoue nei?ioeoe /enei
eiia?iaoi?ieo aa??aio?a c’?aeiaiiy aeaiaio?a o i?ioean? neioaco, a naia:
aca?iica’ycie /enea aieiaieo eiioo??a oa ia?aoei?a a?aoa noaie c
e?euee?noth oa oeiii aeaiaio?a ia?aoai?thaa/a ? ?aaeeiaie ?o ?iaioe;
iainiaeea?noue i?aeiao?eoeue neioaco?ii? AOI, ye? caaacia/othoue ??
ia?ao?ae a eiaeio c ?ioa?aaeueieo oi?i.

3. Cai?iiiiiaaii iiaee iaoiae no?oeoo?iiai neioaco aaioeeueieo
ia?aoai?thaa/?a ia iniia? aieiaii? oiiieia?/ii? iao?eoe?, ui iiaea
aeei?enoiaoaaoenue o aeaeyae? iiaiiai ? oe?eani?yiiaaiiai ia?aai??a,
canoiniaoaaoenue aei i?aenoai oiui, yeee aia?oa aeicaieea aaia?oaaoe
iiai? iaai?e i?aoeacaeaoieo ia?ciii?oieo noai neioaco?iiai eeano ?c
caaeaieie aeanoeainoyie.

4. Cai?iiiiiaaii iiaee iaoiae aaeaino aiie?ooae ioeuenaoe?eieo ooieoe?e
aeey aiae?co onoaeaieo i?ioean?a o aeai?ioa?aaeueieo iaeiioaeoieo
ia?aoai?thaa/ao iino?eii? iai?oae, ui aeicaieeei io?eiaoe ae?ace aeey
aiie?ooae ioeuenaoe?eieo ooieoe?e aeueo ii?yaee?a oa aiae?oe/ii caaeaoe
oiiae ?o aeeeth/aiiy aai iineaaeaiiy a iaaaioaaeaii? a i?ioean? neioaco.

5. Ia iniia? io?eiaieo aiae?oe/ieo oiia no?oeoo?ii? ?aae?caoe?? caaeaieo
aeanoeainoae cai?iiiiiaai? i?ea?iaeuei? i?eioeeie iiaoaeiae i?aeeean?a
noai o?aicenoi?ieo iaeiioaeoieo ia?aoai?thaa/?a iino?eii? iai?oae c
neiao?e/iei ia?aiaai?/oaaiiyi ina?aeue o?ainoi?iaoi??a oa ?c no?oiiaith
eiiiainaoe??th ioeuenaoe?e aeo?aeii? iai?oae, c i?aeaeuoaaeueiei oeiii
?aaoethaaeueii? oa?aeoa?enoeee oiui.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a iieyaa? a ianooiiiio:

Ia iniia? cai?iiiiiaaiiai aeai?eoio no?oeoo?iiai neioaco ?ic?iaeaii
iaoiaeeee aaia?aoe?? iiaieo iaai??a oa aeyaeaii iia? noaie iniiaieo
eean?a aaioeeueieo ia?aoai?thaa/?a – ?aaoeyoi??a ci?iii? iai?oae,
aaoiiiiieo ?iaa?oi??a, aaciina?aaei?o ia?aoai?thaa/?a /anoioe,
?aaoeyoi??a iino?eii? iai?oae ia iniia? ae?inae?a iane/aiiy,
iaeiioaeoieo, aeaioaeoieo oa eaac??aciiainieo ia?aoai?thaa/?a, ui aea?
i?aenoaae ?aeiiaiaeoaaoe iao?e/ii-oiiieia?/iee iaoiae neioaco aeey
aeei?enoaiiy a iaoaioieo aeine?aeaeaiiyo.

Io?eiaii iiai? iaai?e cai?iiiiiaaieo i?aeeean?a iaeiioaeoieo
ia?aoai?thaa/?a iino?eii? iai?oae ?c neiao?e/iei ia?aiaai?/oaaiiyi
ina?aeue o?ainoi?iaoi??a, c? no?oiiaith eiiiainaoe??th ioeuenaoe?e
aeo?aeii? iai?oae, ?aaoethaaeueiith oa?aeoa?enoeeith i?aeaeuoth/iai
oeio, a oaeiae c iioaioe?aeueiith eiiiainaoe??th ioeuenaoe?e aeo?aeii?
iai?oae oa aacia?a?aiei no?oiiniiaeeaaiiyi, ye? iiaeooue aooe
aeei?enoai? ye iiaia aaca aeaieo aeey aaoiiaoeciaaiiai i?iaeooaaiiy
aeacaieo ia?aoai?thaa/?a.

?ic?iaeaii aeeiai?/iee oa aia?aaoe/iee e?eoa??? aeai?o iioeiaeueieo
noaiieo ??oaiue iaeiioaeoieo aeai?ioa?aaeueieo ia?aoai?thaa/?a iino?eii?
iai?oae, ui aeicaiey? iaa?oioiaaii iae?aoe e?au? aa??aioe noai aeey
caaeaieo oiia aenieoaoaoe??.

?ic?iaeaii i?ia?aiia caaacia/aiiy aeey aiae?oe/ii? iiaoaeiae noai
iaeiioaeoieo ia?aoai?thaa/?a ?c caaeaieie aeanoeainoyie ? aeai?o
iioeiaeueieo aa??aio?a ca aeeiai?/iei oa/aai aia?aaoe/iei e?eoa??yie.

Cai?iiiiiaai? i?ea?iaeuei? noaie aaioeeueieo ia?aoai?thaa/?a, aeai?eoie
io?eiaiiy iiaieo iaai??a noai oa i?ia?aiia caaacia/aiiy aeey aeai?o
iioeiaeueieo aa??aio?a aeei?enoai? i?e ?ic?iaoe? i?iaeoeoe??, ui
na??eii aeionea?oueny i?aei?e?inoaaie Oe?a?ie.

?acoeueoaoe aeena?oaoe?eii? ?iaioe ciaeoee i?aeoe/ia canoinoaaiiy i?e
noai?aii? ?yaeo eiie?aoieo i?eno?i?a ia?aoai?thaaeueii? oaoi?ee, oaeeo,
ye iiaeoeue aeaeo?iaeeaeaiiy OO 5002 (AE “?inoie”, i. Ee?a), aeaea?ae
aeeaeaiiy caa?thaaeueieo iai?aaaoiiao?a AN-02 oa eaniaeo aia?ao?a
“SILEKS” (IAI “Aeoaaiia”, i. Ee?a), aeei?enoai? a Iieuenuee?e
Iie?oaoi?oe? Caeaiiao?nuee?e oa ai?iaaaeaeai? o iaa/aeueiee i?ioean
Iaoe?iiaeueiiai oaoi?/iiai oi?aa?neoaoo Oe?a?ie “EI?” ? Aea?aeaaii?
aeaaeai?? eaaei? i?iieneiaino? Oe?a?ie.

Iniaenoee aianie caeiaoaa/a. Iaoeia? iieiaeaiiy ? ?acoeueoaoe, ui
oa?eoee aei aeena?oaoe??, io?eiai? aaoi?ii iniaenoi.

A ae?oeiaaieo i?aoeyo, iioae?eiaaieo o ni?aaaoi?noa?, aeena?oaioo
iaeaaeeoue: [9] – iaoiaeeea iao?e/ii-oiiieia?/iiai neioaco ?aaoeyoi??a
iino?eii? iai?oae ia iniia? ae?inae?a iane/aiiy; [10] – aeai?eoi
?ic?aooieo iao?e/ii? aeniiiaioe; [11] – iaoiaeeea iao?e/ii-oiiieia?/iiai
aiae?co iaeiioaeoieo aeai?ioa?aaeueieo ia?aoai?thaa/?a; [12] – iaoiaeeea
iao?e/ii-oiiieia?/iiai neioaco iaeiioaeoieo ia?aoai?thaa/?a ?c
neiao?e/iei ia?aiaai?/oaaiiyi ina?aeue o?ainoi?iaoi??a; [13] – iaoiaeeea
?ic?aooieo a?aie/iiai cia/aiiy eiao?oe??ioa i?aeneeaiiy noaa?e?ciaaieo
oe?ioii-?iioeuenieo ia?aoai?thaa/?a; [14] – iaoiaeeea ?ic?aooieo
eiao?oe??ioa noaa?e?caoe?? ca no?oiii iaaaioaaeaiiy oe?ioii-?iioeuenieo
ia?aoai?thaa/?a; [15] – ?icaeoie iao?e/ii-oiiieia?/ii? oai??? aaia?aoe??
noai aaioeeueieo ia?aoai?thaa/?a oa aeai?eoi ?o neioaco; [16] –
iaoiaeeea ?ic?aooieo eiao?oe??ioa noaa?e?caoe?? ca ao?aeiith iai?oaith
oe?ioii-?iioeuenieo ia?aoai?thaa/?a; [31] – noaie iaeiioaeoieo
ia?aoai?thaa/?a c iie?ioaieie ianiaaaa?eoieie iieacieeaie oa iaoiaee ?o
aiae?co; [33] – noaia ?aaoeyoi?a iino?eii? iai?oae ia iniia? ae?inaey
iane/aiiy. ?io? ni?euei? ?iaioe, ui yaeythoue niaith ioi?iii? aeieoiaioe
ia aeiaoiaee, iaienai? c ??aiei iniaenoei aianeii aeena?oaioa ?
ni?aaaoi??a.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iaoa??aee aeena?oaoe??
aeiiia?aeaeenue ia i?aeia?iaeieo oa ananithcieo iaoeiai-oaoi?/ieo
eiioa?aioe?yo ? nai?ia?ao: 4-e Ananithci?e iaoeiai-oaoi?/i?e
eiioa?aioe?? “I?iaeaiu i?aia?aciaaoaeueiie oaoieee”, i. Ee?a, 1987 ?.;
?anioae?eainueeiio nai?ia?? “Aunieiyooaeoeaiua enoi/ieee e nenoaiu
aoi?e/iiai yeaeo?iieoaiey ?YA”, i. Iineaa, 1989 ?.; 1-e Ananithci?e
iaoeiai-oaoi?/i?e eiioa?aioe?? “Neeiaua yeaeo?iiiua nenoaiu e ono?ienoaa
iaeiiiuiie i?aia?aciaaoaeueiie oaoieee” i. Aeia-Aoa, 1990 ?.; 5-e
Ananithci?e iaoeiai-oaoi?/i?e eiioa?aioe?? “I?iaeaiu i?aia?aciaaoaeueiie
oaoieee”, i. *a?i?a?a, 1991 ?.; I?aeia?iaei?e iaoeiai-oaoi?/i?e
eiioa?aioe?? “Neeiaay yeaeo?iieea a ?aoaiee i?iaeai ?ano?ni- e
yia?ainaa?aaeaiey”, i. Aeoooa, 1993 ?.; I?aeia?iaei?e iaoeiai-oaoi?/i?e
eiioa?aioe?? “I?iaeaie o?ce/ii? oa a?iiaaee/ii? aeaeo?ii?ee”, i. Ee?a,
1997 ?.; 3-e I?aeia?iaei?e iaoeiai-oaoi?/i?e eiioa?aioe??
“Unconventional Electromechanical and Electrical Systems” i. Aeoooa,
1997 ?.; I?aeia?iaei?e iaoeiai-oaoi?/i?e eiioa?aioe?? “I?iaeaie o?ce/ii?
oa a?iiaaee/ii? aeaeo?ii?ee”, i. Ee?a, 1998 ?.; I?aeia?iaei?e
iaoeiai-oaoi?/i?e eiioa?aioe?? “Neeiaay yeaeo?iieea e
yia?aiyooaeoeaiinoue” i. Aeoooa, 1998 ?.

Ioae?eaoe?? iaoeiaeo aeine?aeaeaiue. Iniiaiee ci?no aeenna?oaoe??
a?aeia?aaeaii a 40 ioae?eaoe?yo, c ieo 16 noaoae a oaoiaeo iaoeiaeo
aeaeaiiyo, 11 aaoi?nueeeo na?aeioeoa N?N? ia aeiaoiaee oa 3 cayaee ia
iaoaioe Oe?a?ie, 1 i?ai?eio, 1 ca??iee iaoiaee/ieo aeac?aie, 2
aeaiiiiaai? noaoo?, 6 oac aeiiia?aeae.

No?oeoo?a oa ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny ?c anooio, oanoe
?icae?e?a, iaeiiai aeiaeaoeo, nieneo aeei?enoaieo aeaea?ae. Caaaeueiee
ianya ?iaioe neeaaea? 320 noi??iie. Ia 57 noi??ieao ?ici?uai? 22
?enoiee, 9 oaaeeoeue, nienie aeei?enoaieo aeaea?ae ?c 210 iaeiaioaaiue
? iaeei aeiaeaoie.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiaai? aeooaeuei?noue oa aeioe?euei?noue ?iaioe,
noi?ioeueiaai? iaoa oa caaaeaiiy iaoeiaiai aeine?aeaeaiiy, aeeeaaeaii
iaoeiao iiaecio, i?aeoe/ia cia/aiiy oa ?aae?caoe?th ?acoeueoao?a
aeena?oaoe??, iaaaaeaii a?aeiiino? i?i ai?iaaoe?th oa ioae?eaoe??.

O ia?oiio ?icae?e? ia iniia? e?eoe/iiai iaeyaeo ?nioth/eo iaoiae?a
oi?ioeth?oueny iaoeiaa caaaeaiiy no?oeoo?iiai neioaco AI oa
iaa?oioiao?oueny iaoaiaoe/iee ia’?eo, yeee canoiniao?oueny ye ?ino?oiaio
neioaco.

Eeane AI ? ?noioii iaiaeii??aeieie c oi/ee ci?o iieno aeaeo?iiaai?oieo
i?ioean?a, ye? a ieo a?aeaoaathoueny, ui iaoiiaeei ?nioaaiiy ??cieo
iaoiae?a aiae?co oa neioaco ia?aoai?thaaeueieo i?eno?i?a. sse iniiai?
iai?yiee aeine?aeaeaiiy ?icaeyiooi iaoiaee neioaco a?oi AI c iino?eiith
oa ci?iiith no?oeoo?ith ca?aeii c eeaneo?eaoe??th, cai?iiiiiaaiith O.I.
Aeacaiei. A?oio AI c iino?eiith no?oeoo?ith ?icae?eaii ia aea?
i?aea?oie. Ia?oa i?aea?oia ia?aoai?thaa/?a iiaeaeth?oueny aeaea?aeii
aea?aaeaioii? ?iioeuenii? a. ?. n., ui aeieea? i?e e?iaa?ecaoe??
iae?i?eii? /anoeie ia?aoai?thaa/a, oa e?i?eiith noaiith c iino?eiith
no?oeoo?ith, ui a?aeiia?aea? iine?aeiaiiio aeeth/aiith
caeaaeaeoaaeueiiai o?eueo?a oa iaaaioaaeaiiy (ea?iaai? aei?yiey/?,
oe?ioii-?iioeueni? ia?aoai?thaa/? iino?eii? iai?oae). I?e neioac?
i?eno?i?a ia?oi? i?aea?oie aeei?enoiao?oueny a?eueo?noue iaoiae?a
neioaco e?i?eieo aeaeo?e/ieo eaioetha?a, ui ciaeoei a?aeia?aaeaiiy a
i?aoeyo Aeaieniaa I.?., I?aiyea A.A., ?oaeaiea A.N. Aei eeane/ieo
iaoiae?a neioaco aeaeo?e/ieo eaioetha?a iaaeeaea?oueny neioac
ia?aoai?thaaeueieo i?eno?i?a, ui ia i?noyoue aaioee?a (neiao?oth/eo aai
oaciia?aoai?thth/eo eaioetha?a, eiiiainaoi??a ?aaeoeaii? iiooaeiino?),
ui aeei?enoiao?oueny a i?aoeyo Iinoiayea ?.A., Oaae?y A.N.

Ia?aoai?thaa/? c iino?eiith no?oeoo?ith, ui iaeaaeaoue aei ae?oai?
i?aea?oie, ia i?noyoue caeaaeaeoaaeueiiai o?eueo?a, a aeo?aeia iai?oaa
aaciina?aaeiuei oi?io?oueny a iaaaioaaeaii? c a?ae??ce?a e?eaeo, ui
a?aeiia?aeathoue ae?th/ei ooieoe?yi ao?aeiiai aeaea?aea (?aaoeyoi?e
ci?iii? iai?oae, aaoiiiii? ?iaa?oi?e, aaciina?aaei? ia?aoai?thaa/?
/anoioe). Neioac oeeo i?eno?i?a, i?iaaaeaiee o i?aoeyo Eeie?anueeiai
E.I., Naiueea A.?., Oiieaey A.TH., *aoaoa A.I. aaco?oueny ia ??cieo
niiniaao ai?ieneiaoe?? e?eai? aeo?aeii? iai?oae.

I?e iiaeaethaaii? AI noaiith ?c ci?iiith no?oeoo?ith (iaeiioaeoi?,
aeaioaeoi?, ?aciiaini? oa eaac??aciiaini? ia?aoai?thaa/?) ciaeoee
canoinoaaiiy ie?ai? iaoiaee neioaco iaaiiai eeano noai AI, aeeeaaeai? o
i?aoeyo Eiia?iaa I.N., E? O., Ii?ia A.N., Naaa?ina ?., Niieueieeiaa
E.?., O?ia?ne? ?., TH?/aiea I.I.

Oi?aa?naeueieie iaoiaeaie, ui iiaeooue canoiniaoaaoeny aeey neioaco
ia?aoai?thaa/?a ye c iino?eiith, oae ? ci?iiith no?oeoo?ith, ?
eiia?iaoi?ii-oiiieia?/i? iaoiaee. Iaeiei c iaea?eueo caaaeueieo, a
oaeiae ?noi?e/ii ia?oei eiia?iaoi?ii-oiiieia?/iei iaoiaeii neioaco
ia?aoai?thaaeueieo noai ? cai?iiiiiaaiee A.I. Ieoaeaae/ iaoiae
aaiiao?e/iiai neioaco. ?ioei oi?aa?naeueiei iaoiaeii ae??oaiiy caaaeaiiy
aaia?aoe?? noai c? ci?iiith no?oeoo?ith ? eiia?iaoi?ii-oiiieia?/iee
iaoiae neioaco noai AI c ?aeaaeueieie eeth/aie ia iniia? a?aoa ci?ie
noaio, ?ic?iaeaiee i?ae ea??aieoeoaii A.ss. AEoeeiaa.

A oe?eiio an? ?icaeyioo? iaoiaee neioaco iathoue aeaiaio ai??i?iino?, ui
eiie?aoeco?oueny aa?enoe/ii aai ia i?aenoaa? iiia?aaeiueiai aeina?aeo
?ic?iaieea, ?i aeanoeai i?iaeoeoaaiiy ?ciii?oieo aa??aio?a, aeiaeai c
ieo ia aa?aioo? iiaiioo noaiieo ??oaiue, ui io?eiothoueny, oa ia
aeicaiey? cae?enithaaoe oe?eani?yiiaaiee iiooe no?oeoo?e AI ?c
cacaeaeaa?aeue caaeaieie aeanoeainoyie.

A ca’yceo c oeei a aeai?e ?iaio? ae??oo?oueny caaaeaiiy neioaco no?oeoo?
AI, ui oi?ioeth?oueny oaeei /eiii:

aecia/eoe iiaiee iaa?? noaiieo ??oaiue neeiai? /anoeie aaioeeueieo
ia?aoai?thaa/?a, ui caaeiaieueiy? oa?aeoa?iei iniaeeainoyi caaeaiiai
eeano, cacaeaeaa?aeue caaeaiei aeanoeainoyi oa e?eoa??yi
i?aoeacaeaoiino? aeey ia?aieo iiaeaeae aeaiaio?a.

Aeey aa?aiooaaiiy iiaiioe iaai?o io?eioaaieo noaiieo ??oaiue aea??
?ino?oiaioo iieno c’?aeiaiiy aeaiaio?a iiaeiai, c iaeiiai aieo,
a?aoiaoaaoe an? iiaeeea? noaii? aa??aioe caaeaiiai eeano, a c ae?oaiai –
aooe ia/ooeeaei aei ?ciii?oieo ia?aoai?thaaiue noai, oiaoi ??ciei
?ciii?oiei aa??aioai noaie ia?aoai?thaa/a iiaeiai a?aeiia?aeaoe iaeei
aa??aio iieno. C oeueiai iiaeyaeo aeioe?eueii iienoaaoe noaii? ??oaiiy,
ui io?eiothoueny a i?ioean? neioaco, oiiieia?/ieie iao?eoeyie a?aoa
noaie.

Oae, o?eoaciee aei?yiey/ c ioeueiaei aeaiaeii cia?aaeo?oueny noaiith,
iaaaaeaiith ia ?en. 1a. ?e a?aeiia?aea? i???ioiaaiee a?ao ia ?en. 1a, a
yeiio oianoeie e?i?yie aeae?eaii a?eee aea?aaa, a oiieeie e?i?yie –
oi?aee.

Iao?eoeth aieiaieo eiioo??a B ? iao?eoeth aieiaieo ia?aoei?a Q oeueiai
a?aoa iaaaaeaii ia ?en. 2.

Aeey iai???ioiaaiiai a?aoa i?aeiao?eoey eiioo??a aeey a?eie aea?aaa
iao?eoe? B oa i?aeiao?eoey ia?aoei?a aeey oi?ae iao?eoe? Q ca?aathoueny
c oi/i?noth aei o?ainiiioaaiiy, oiio iiaea aooe iiaoaeiaaia ?aeeia
oiiieia?/ia iao?eoey, ui iieno? aieiai? eiioo?e ? ia?aoeie a?aoa. Aeey
?icaeyiooiai aei?yiey/a c ioeueiaei aeaiaeii oaeo iao?eoeth iaaaaeaii ia
?en. 3a. I?e ?icaeyae? ca ?yaeeaie oaea iao?eoey aea? an? aieiai?
eiioo?e a?aoa, a i?e ?icaeyae? ca noiaioeyie – an? aieiai? ia?aoeie.

?ioi?iaoe?th i?i c’?aeiaiiy aeaiiiethniee?a, ye? neeaaeathoue noaio
ia?aoai?thaa/a, iana i?aeiao?eoey I, ui ? caaaeueiith /anoeiith
iao?eoeue B oa Q, a e?aa oa ieaeiy iaeeie/i? iao?eoe? ia ?en. 3a eeoa
aeacothoue oi?aee oa a?eee a?aoa.

G L S1 S2 S3 V C E1 E2 E3

1

-1

1

-1 1

B =

1

-1

1

1

-1

1

1 -1

1

a)

G L S1 S2 S3 V C E1 E2 E3

1 1 1 1 1

1 -1

1

Q =

-1

1

-1

1

-1

1

a)

?en. 2

A iiaeaeueoiio oe? iaeeie/i? iao?eoe? aoaeaii iioneaoe, aaiaey/e
neiaieuei? iicia/aiiy oi?ae ce?aa a?ae ?ioi?iaoeaii? i?aeiao?eoe? I ?
iicia/aiiy a?eie ieae/a a?ae ia? (?en. 3a). Aeiaeaoeiai aaiaeeii /eneiaa
ia?aieaiiy i?aeiao?eoe? c iaoith ?iaeaenaoe?? ?? aeaiaio?a.

G L S1 S2 S3 V C E1 E2 E3

1

1

G

11 22 3 4 5

1

1 1

L

G

1

1111

1

1

1

S1

L 1 1

2

1

1

1

S2

S1 1

1

33

1 1

1 S3

S2 1

1

44

1

V

S3 1

1 5

1

C

V C E1 E2 E3

a)

1

E1

a)

1

E2

1 E3

?en. 3

I?aeiao?eoeth iai???ioiaaiiai a?aoa noaie I c ia?aieaiiyi aoaeaii
iaceaaoe aieiaiith oiiieia?/iith iao?eoeath (AOI), ine?eueee aiia
aecia/a? an? aieiai? eiioo?e oa ia?aoeie a?aoa noaie.

C?o/i?noue aeei?enoaiiy AOI aeey neioaco AI iaoiiaeaia oaeeie
ianoaaeiaie:

i?inoioith a?aooaaiiy iiaeaeae aeaiaio?a, ui canoiniaothoueny a i?ioean?
neioaco, a oiio /ene? ?aeaaeueieo eeth/?a oa aaaaoiiaiioeiaeo
?iaeoeoeaieo aeaiaio?a (A?A);

iiaeeea?noth oi?iae?ciaaiiai iieno aeanoeainoae, ui caaeathoue-ny,
iai?eeeaae, oaeeo, ye aaeueaai?/ia ?ica’ycea ao?aeieo oa aeo?aeieo e?e,
neiao??y noaie oiui;

iiaeeea?noth iaeii/aniiai eiio?ieth eiioo??a (ca ?yaeeaie AOI) oa
ia?aoei?a (ca noiaioeyie AOI) a?aoa noaie, ui aeicaiey? oi?iae?ciaaii
caaeaoe a neioaciaai?e iao?eoe? oa?aeoa?i? iniaeeaino? caaeaiiai eeano
AI;

iiaeeea?noth io?eiaiiy an?o aa??aio?a c’?aeiaiiy aeaiaio?a
ia?aoai?thaa/a eiia?iaoi?iei caiiaiaiiyi AOI ioeyie oa iaeeieoeyie;

?nioaaiiyi a neeo oai?aie O?oi? aca?iii iaeiicia/ii? a?aeiia?aeiino?
aeey eiioo??a 2-?ciii?oieo a?ao?a, aiane?aeie /iai eiaeiiio aa??aioo
caiiaiaiiy AOI ioeyie oa iaeeieoeyie (ca aeeiyoeii oae caaieo
ae?iaeaeaieo iao?eoeue) a?aeiia?aea? iaeei ia?ciii?oiee aa??aio noaie
AI.

A ae?oaiio ?icae?e? ?icaeiooa iao?e/ii-oiiieia?/ia oai??y neioaco AI ca
?aooiio ?ic?iaee iaoiaeeee aianaiiy a AOI iaei?ino?oeo iiaeaeae
aeaiaio?a, aecia/aiiy ?? ?ici??iino?, aeaaaeaiiy oiiieia?/ieo e?eoa???a
i?aoeani?iiiaeiino? oa anoaiiaeaiiy oiiieia?/ieo aea?aaeaio?a caaaeueieo
aeanoeainoae, ui caaeathoueny. Ia iniia? oe??? oai?aoe/ieo iieiaeaiue
cai?iiiiiaaii iaoiae no?oeoo?iiai neioaco AI ia iniia? AOI.

A caaaeueiiio aeiaaeeo neeiaa /anoeia aaioeeueiiai ia?aoai?thaa/a
neeaaea?oueny c n aeaiaio?a:

( aeaea?ae ao?aeii? iai?oae E1,…,E(;

;

( eiiaeainaoi??a C1,…, C(;

( eeth/?a P1,…,P(;

( iaaaioaaeaiue G1… G(.

Aeineiiaeee A?A, ui oa?aeoa?eco?oueny a?aenooi?noth iioie?a ?icn?thaaiiy
i?e e?ioeaa?e aaee/ei? no?oio iaiaai?/oaaiiy, aiineoueny a noiai/ee
AOI, ui a?aeiia?aea? ?iaeoeoeaiino? iaiaai?/oaaiiy iaiioee i?eaaaeaiiy
Li, ca ianooiieie i?aaeeaie. sseui a aieiaiee eiioo?,ui ?icaeyaea?oueny,
aoiaeeoue iaiioea Wi, oi ia a?aeiia?aei?e iiceoe?? a noiaioe? Li
i?inoaaey?oueny 1; yeui a aieiaiee eiioo?, ui ?icaeyaea?oueny, aoiaeeoue
iaiioea Wj, oi ia a?aeiia?aei?e iiceoe?? a noiaioe? Li i?inoaaey?oueny
eiao?oe??io o?ainoi?iaoe?? nji = Wj / Wi. Aeey neioaco AI
canoiniao?oueny nei?i/aia AOI, a ye?e ??aiyiiy ca’yce?a i?ae no?oiaie ?
iai?oaaie iaiioie o?ainoi?iaoi??a oa aaaaoiiaiioeiaeo ae?inae?a
ae?aaeai? /a?ac eiao?oe??ioe o?ainoi?iaoe??, a i?ae iai?oaith ? no?oiii
A?A ?icoi??oueny iai?oaa iaiioee Wi oa i?eaaaeaiee aei ia? no?oi
iaiaai?/oaaiiy.

Aeey aaeaeaaoiiai iiaeaethaaiiy i?ioean?a a aaioeeueieo ia?aoai?thaa/ao
ia eiaeiiio c ?ioa?aae?a noaeino? no?oeoo?e an? a?aee?eo? eeth/? iiaeii?
aooe a?aeianai? aei a?eie aea?aaa, a an? ?ic?ieioo? eeth/? – aei oi?ae.
Ine?eueee eiaeai c eeth/?a ii /a?c? ia?aaoaa? o aa?ieiooiio oa
aeieiooiio noai?, AOI aaioeeueiiai ia?aoai?thaa/a iiaeiia aeiioneaoe
iiaeeea?noue ia?a?iciiae?eo aeaiaio?a i?ae oi?aeaie oa a?eeaie aea?aaa.

Iaoae ia i – oiio ?ioa?aae? noaeino? no?oeoo?e a AI, ui i?noeoue (
iaaaioaaeaiue, a?aee?eoi (1i aaioee?a, caieiaii (0i=(((1i aaioee?a, (1i
ae?inae?a iathoue aeaeo?iiaai?oio aia?a?th, (0i=(((1i ae?inae?a
ciano?oieaii, ? (0i eiioo??a, ui neeaaeathoueny c eiiaeainaoi??a,
aeaea?ae iai?oae oa a?aee?eoeo aaioee?a.

Aeiaaaeaii, ui e?euee?noue aieiaieo eiioo??a noaie ia?aoai?thaa/a, yea
aei??aith? /eneo k oi?ae AOI, aecia/a?oueny ni?aa?aeiioaiiyi

k = ( + (1i + (0i + (0i .
(1)

E?euee?noue ?ioeo aeaiaio?a ia?aoai?thaa/a aecia/a? /enei aieiaieo
ia?aoei?a a?aoa noaie ia?aoai?thaa/a, ui aei??aith? /eneo u a?eie
aea?aaa AOI

u = n – k = (1i + (0i + (1i ,
(2)

aea (1i =( +( ((0i .

A?ae ?ioa?aaeo aei ?ioa?aaeo noaeino? no?oeoo?e /enea (1i, (0i, (0i
iiaeooue ci?ithaaoeny, aea caaaeueia e?euee?noue k aieiaieo eiioo??a
a?aoo, oa e?euee?noue u eiai aieiaieo ia?aoei?a, ui aecia/athoue
eiio?ao?aoe?th noaie AI, i?e?iaeii, caeeoathoueny aac ci?i. ?ioa?aaeuei?
AOI iiaeooue aooe iine?aeiaii io?eiai? iaeia c iaeii? oeyoii
aca?iicai?ie aecia/aii? e?eueeino? oi?ae ia oaeo ae naio e?euee?noue
a?eie aea?aaa. Aeaaaeai? caaaeuei? oi?ioee ia?aoai?thaaiiy ?ioa?aaeueieo
iao?eoeue i?e oae?e cai?i?.

Aeae?eeii a iiiaeei? oi?ae H(i) ia i-oiio ?ioa?aae? noaeino? no?oeoo?e
i?aeiiiaeeio HT(i), yeo aoaea a?aeianaii aei a?eie aea?aaa ia i+1
?ioa?aae? oa i?aeiiiaeeio HI(i), ui ia ci?ith? noaoon oi?ae, a a
iiiaeei? a?eie O(i) — i?aeiiiaeeio TH(i) o??? ae ?ici??iino?, yeo iio?i
aoaea a?aeianaii aei oi?ae, oa i?aeiiiaeeio TI(i), ui ia ci?ith? noaoon
a?eie:

H (i) ={ HI(i) HT(i)},

O(i) = { TH(i) TI(i) }.
(3)

Ca ae?oaei caeiiii E??oaioa o iao?e/ii-oiiieia?/i?e oi?i? caieno

, (4)

– iai?oae oi?ae ? a?eie aea?aaa, ?icaeoeo o a?aeiia?aeiino? c (3),

– iao?e/i? aeiee i-oi? ?ioa?aaeueii? AOI.

Ia?aoai?aiiy ?ioa?aaeueieo AOI iai???ioiaaiiai a?aoa i?iaiaeyoueny ca
i?aaeeaie aeiaeaaaiiy ii iiaeoeth aeaa:

. (5)

Ia?oei oiiieia?/iei e?eoa???i i?aoeacaeaoiino? AI ? iainiaeea?noue
i?aeiao?eoeue, ui caaacia/othoue ia?ao?ae a?ae neioaco?ii? AOI aei
eiaeii? c ?ioa?aaeueieo oi?i

.

Ae?oaee oiiieia?/iee e?eoa??e i?aoeacaeaoiino? a?aeia?aaea? ia no?oeoo??
AOI oiiae caaacia/aiiy ?nioaaiiy onoaeaiiai ?aaeeio aeey ci?iieo noaio

.

A?aeiia?aeii aei o?aoueiai oiiieia?/iiai e?eoa??th i?aoeacaeaoiino?
neioaciaai? AOI ia iiaeii? i?noeoe ioeueiaeo ?yaee?a aai noiai/ee?a, ui
a?aoiao? ia?icae?euei?noue eiiiiiaio a?aoa noaie AI oa a?aenooi?noue a
eiai neeaae? iaoaeue.

Aaaaeai? oiiieia?/i? e?eoa??? i?aoeacaeaoiino? aeei?enoiaothoueny i?e
neioac? ye iaiaaeaiiy ia caiiaiaiiy ie?aieo iiceoe?e AOI, oei naiei
ia?a?nii aeeeth/ath/e iai?aoeacaeaoi? c’?aeiaiiy aeaiaio?a.

Oi?iae?ciaaii caaaeuei? aeanoeaino? AI, ui cono??/athoueny o aaaaoueio
eean?a – aaeueaai?/ia ?ica’ycea ao?aeieo ? aeo?aeieo eaioetha?a oa
neiao??y noaie.

Oae noaia AI neeaaea?oueny c aeaio aaeueaai?/ii ?cieueiaaieo i?aenoai
(?en. 4a). ?ic?a’?ii iiiaeeio aeaiaio?a ao?aeii? i?aenoaie I ia oi?aee
? a?eee aea?aaa I={IHIT}, oo ae naio iia?aoe?th c?iaeii c iiiaeeiith O
aeaiaio?a aeo?aeii? i?aenoaie O={OHOT}, iiiaeeio A?A, ui cae?eniththoue
?ica’ycie, iicia/eii R oa a?aeianaii ?o aei a?eie aea?aaa nei?i/aii?
AOI. Iio?i cae?enieii ia?anoaiiaeo oi?ae oa a?eie aea?aaa, ca?oioaaaoe
?o eiiiaeoii ca i?aenoaiaie, oiae? nei?i/aia oi?ia AOI iaaoaa?
aeaeyaeo, cia?aaeaiiai ia ?en. 4a. Iao?e/i? aeiee ioe?a a?aeiia?aeathoue
a?aenooiino? aeaeo?e/ieo ca’yce?a i?ae aeaiaio?a i?aenoai. O ao?aeio
i?aenoaio iaia’yceiai aa?eaea oi/ ae iaeia aeaea?aei A1, o aeo?aeio (
oi/ ae iaeia iaaaioaaeaiiy G1, aei ?ica’ycoth/eo aeaiaio?a a?aeiineoueny
oi/ ae iaeei ?iaeoeoeaiee aeaiaio Li.

I H

0

OH 0

IT R OT

a)

A noai? AI i?aeiiiaeeia aeaiaio?a (’ ia? neiao??th i?aeeeth/aiiy
a?aeiinii i?aeiiiaeeie iaeii?iaiieo aeaiaio?a (’’, yeui i?e
ia?aoai?thaaii? AOI, ui a?aeiia?aea? aca?ii?e ia?anoaiiaoe? aeaiaio?a
i?aeiiiaeei (’ oa (’’, ? ia?aeiaiiaoaaii? aeacaieo aeaiaio?a no?oeoo?a
AOI caeeoa?oueny iaci?iiith. Aeei?enoaiiy aeanoeaino? neiao??? i?e
neioac? AI iieyaa? a aecia/aii? iaiaaeaiue ia caiiaiaiiy AOI, ye?
caaacia/othoue ?? ?iaa??aioi?noue i?e ia?aoai?thaaii?, ui a?aeiia?aea?
ia?anoaiiaoe? aeaiaio?a neiao?e/ieo i?aeiiiaeei.

?icaeyioo? oai?aoe/i? iieiaeaiiy eyaee a iniiao iaoiaeo neioaco AI ia
iniia? AOI, aeie-noaio aeai?eoio yeiai iaaaaeaii ia ?en. 5.

Ia ia?oiio aoai? i?iaiaeeoueny ye?niee aiae?c aeaeo?iiaai?oieo i?ioean?a
a caaeaiiio eean? AI, caaaeyee /iio aecia/a?oueny:

e?euee?noue ?ioa?aae?a noaeino? no?oeoo?e r;

;

iiiaeeia iaia’yceiaeo ca’yce?a ( i?ae aeaiaioaie;

iiiaeeia iai?eionoeieo ca’yce?a ( i?ae aeaiaioaie.

Iiiaeeia iaia’yceiaeo ca’yce?a iiaea aeeth/aoe:

niaoeeo?/i? ca’ycee, oa?aeoa?i? aeey eeano AI, ui ?icaeyaea?oueny,
iai?eeeaae, no?oeoo?a eiioo??a aaaaeaiiy oa aeaaaeaiiy aia?a??;
eiie?aoi? cia/aiiy iao?e/ieo aeie?a AOI aai cia/aiiy ?o ie?aieo
aeaiaio?a;

eiie?aoi? cia/aiiy aaaaoiaa??aioieo caiiaiaiue iao?e/ieo aeie?a, ui
aeeeth/a? ?ciii?o?ci, iia’ycaiee c ia?anoaiiaeith iicia/aiue
iaeii??aeieo aeaiaio?a;

?icaeyioo? caaaeuei? aeanoeaino? AI, oae? ye aaeueaai?/ia ?ica’ycea
ao?aeieo oa aeo?aeieo eaioetha?a, neiao??y noaie.

Iiiaeeia iai?eionoeieo ca’yce?a eiie?aoeco? niaoeeo?/i? ca’ycee,
iai?eionoei? a aeaiiio eean? AI, iai?eeeaae, aeiiao a?aenooiino?
caei?i/oaaiiy iaiioie A?A aeey aeai?ioa?aaeueieo iaeiioaeoieo
ia?aoai?thaa/?a iai?oae.

. Eiia?iaoi?iee ia?aa?? cia/aiue ci?iieo ia aaeain?yo, ui caeeoeeeny,
aea? iiaiee iaa?? aa??aio?a AOI caaeaiiai eeano AI, neeaaeaieo ?c
caaeaii? e?eueeino? aeaiaio?a.

Ia inoaiiueiio aoai? ca?aeii c ?ic?iaeaiei aeai?eoiii aeey eiaeii? ?c
neioaciaaieo AOI aoaeo?oueny iao?eoey ?ioeeaeaioe?? AI, yea
aaciina?aaeiuei a?aeia?aaea? noaio c’?aeiaiiy aeaiaio?a. Aeae?
ca?eueoo?oueny e?euee?noue aeaiaio?a ia?aoai?thaa/a oa cae?enith?oueny
ia?ao?ae aei i.3.

A ?aieao ?ica’ycaiiy ?icaeyiooei aeai?eoiii noi?ioeueiaaiiai caaaeaiiy
neioaco AI iiaeooue cono??/aoeny oae? ??ciiaeaee i?aecaaaeaiue:

iiaiee ia?aa?? ( aaia?aoe?y an?o noaiieo ??oaiue aeey eiaeiiai c eean?a
ia?aoai?thaaeueieo i?eno?i?a, ui caaea?oueny;

oe?eani?yiiaaiee ia?aa?? ( c’?aeiaiiy caaeaii? e?eueeino? aeaiaio?a
ie?aiiai eeano AI aeey io?eiaiiy cacaeaeaa?aeue caaeaieo aeanoeainoae;

neioac ia iniia? i?aenoai ( c’?aeiaiiy a?aeiieo neeaaeiaeo /anoei AI
aeey io?eiaiiy caaeaieo aeanoeainoae a ia’?aeiai?e noai?.

I?e iiaiiio ia?aai?? neioac cae?enith?oueny ca aeai?eoiii, i?eaaaeaiei
ia ?en. 5, oiaoi e?euee?noue aeaiaio?a ia?aoai?thaa/a iiaeeo?eo?oueny ia
eiaeiiio aoai? neioaco, iiee ia aoaea io?eiaii an? noaii? ??oaiiy AI
eeano, ui ?icaeyaea?oueny. I?e oe?eani?yiiaaiiio neioac? e?euee?noue
aeaiaio?a ia?aoai?thaa/a o?eniaaia, aeiaeaoeiai caaeathoueny
aeanoeaino?, ui eieae?cothoue iai?yiie iiooeo. I?e neioac? ia iniia?
i?aenoai neeaaeia? /anoeie AI cia?aaeothoueny iae?iiiaeaeyie ??ciiai
nooiaiy aeaoae?caoe?? ? oiiieia?/ii ia?aae?athoueny ??ci? aa??aioe
c’?aeiaiiy ?o i?ae niaith. O aeacaieo i?aecaaaeaiiyo an? i?iaeoeoe
ia?aai??a ? ?acoeueoaoeaieie, oiaoi i?aoeacaeaoieie, ia?ciii?oieie ? a
noeoiiino? iathoue aeanoea?noue iiaiioe.

Iiaiioo noaiieo ??oaiue caaacia/o? ?ino?oiaio neioaco o aeaeyae? AOI oa
?ic?iaeai? iieiaeaiiy iao?e/ii-oiiieia?/ii? oai??? iiaoaeiae noai.
Ae?enii, e?euee?noue aa??aio?a eiia?iaoi?iiai caiiaiaiiy AOI ioeyie,
iaeeieoeyie oa eiao?oe??ioaie o?ainoi?iaoe?? e?ioeaaa. A?aooaaiiy
oa?aeoa?ieo aeanoeainoae aecia/aiiai eeano, oiiieia?/ieo e?eoa???a
i?aoeacaeaoiino? oa oiiieia?/ieo aea?aaeaio?a aeanoeainoae, ui
caaeathoueny, eiie?aoeco? caiiaiaiiy ie?aieo iiceoe?e AOI, a
eiia?iaoi?iee ia?aa?? eia?/ieo ci?iieo ia caeeoeaoeony aaeain?yo caaea?
anth aaio noaiieo ??oaiue i?aecaaaeaiiy, ui ?icaeyaea?oueny.

A o?aoueiio ?icae?e? ?icaeyiooi neioac noai iniiaieo eean?a AI oeyoii
iiaiiai ia?aai?o, oiaoi c iiaeeo?eaoe??th e?eueeino? aeaiaio?a o iaaeao
caaeaiiai eeano.

Oae, iai?eeeaae, aeey ?aaoeyoi??a ci?iii? iai?oae, ui i?aoeththoue ia
/anoio? ao?aeiiai aeaea?aea, a yeeo aeei?enoiao?oueny aeiaeaaaiiy
?aaoeueiaaii? oa ia?aaoeueiaaii? iiooaeiino? oeyoii eiiooaoe?? iaiioie
aaoio?ainoi?iaoi?a (AO), i?ioeaaeo?a neioaco aeaeyaea? oae.

Caaea?ii i?i?iaeueiee neeaae aeaiaio?a ia?aoai?thaa/a (iiiaeeia (0):
iaeia aeaea?aei neioni?aeaeueii? iai?oae (( = 1), iaeia iaaaioaaeaiiy ((
= 1), iaeei ?iaeoeoeaiee aeaiaio – aaaaoiiaiioeiaee AO (( = 1), ia?a
eeth/?a (( = 2) aeey iiaeeeaino? caieeaiiy no?oio iaiaai?/oaaiiy AO.

Aeaiee neeaae aeaiaio?a caaacia/o? aeaa nooiai? ?aaoethaaiiy ? aeaa
?ioa?aaee noaeino? no?oeoo?e (r = 2). I?e oeueiio (0i = (1i = 1, (0i =
0, (1i = 1. Aecia/a?ii e?euee?noue aieiaieo eiioo??a a?aoa noaie ca
oi?ioeith (1)

k= (1i + (0i + ( = 1+1+1 = 3.

Aaaaoiiaiioeiaee AO a?aeiineii aei a?eee aea?aaa, oiio iiiaeeio oi?ae
neeaaeathoue aeaiaioe G,P1,P2, ?io? aeaiaioe L,E ooai?ththoue iiiaeeio
a?eie aea?aaa. No?oeoo?o AOI iaaaaeaii ia ?en. 6.

1 2

G np 1 1

P1 1 1 2

P2 ( X 3

L E

?en. 6

Iine?aeiai?noue caiiaiaiiy AOI caaaeaii aei oaae. 1.

Oaaeeoey 1. Iine?aeiai?noue caiiaiaiiy AOI ia ?en. 6.

Nii Aeaiaio Cia/aiiy Iaa?oiooaaiiy

1 11, 12 np,1 IOK

2 21, 22 1 REG, DP1L

3 31 ( DP2L

4 32 X VAR

Oa?aeoa?i? aeanoeaino? ia?aoai?thaa/?a, ui ?icaeyaeathoueny, oa
oiiieia?/i? e?eoa??? i?aoeacaeaoiino? i?eaaaeai? ye iaa?oiooaaiiy
caiiaiaiiy AOI a /aoaa?oiio noiaioe? oaaeeoe? o aeaeyae? oiiaiiai
iiaiii?/iiai eiaeo ? iieyaathoue a ianooiiiio:

IOK – aeiaeaaaiiy a iaaaioaaeaii? ?aaoeueiaaii? oa ia?aaoeueiaaii?
iiooaeiino? caaacia/o? eiioo?, ui neeaaea?oueny c ao?aeiiai aeaea?aea E,
iaiioee ?aaoethaaiiy Wp = npW1 aaoio?ainoi?iaoi?a L oa iaaaioaaeaiiy G;

REG – iai?oao ia ?aaoethth/?e iaiiooe?, i?iii?oe?eio ao?aei?e,
caaacia/o? eiioo?, ui i?noeoue ao?aeia aeaea?aei E, ia?aeiio iaiioeo W1
aaoio?ainoi?iaoi?a L oa iaeei c eeth/?a (aeey aecia/aiiino? P1).
Aiaeii/an no?oeoo?a oeueiai eiioo?a caaacia/o? aeeiiaiiy ae?oaiai
oiiieia?/iiai e?eoa??th i?aoeacaeaoiino? o aa?ieiooiio noai? eeth/a P1
aeey ?aeeii? ci?iii? noaio – no?oio iaiaai?/oaaiiy AO oeyoii
i?aeeeth/aiiy aei eiai ia?aeiii? iaiioee aeaea?aea iai?oae c ioeueiaei
na?aaei?i cia/aiiyi;

DP1L oa DP2L – ia?oee oiiieia?/iee e?eoa??e i?aoeacaeaoiino? caaacia/o?
iiaeeea?noue aca?iiiai?io aeaiaioa L c aoaeue-yeei c eeth/?a P1 e P2 a
ia?aieaii? AOI. Ioaea, ia ia?aoei? ?yaee?a P1, P2 oa noiaioey L iiaeii?
ciaoiaeeoenue iaioeueia? aeaiaioe;

VAR – caiiaiaiiy aaeain?e iacaeaaeieie eia?/ieie ci?iieie, ui
iicia/athoueny aaeeeeie aoeaaie eaoeinueeiai aeoaa?oo.

Caoaaaeeii, yeui m32=0, ui a?aeiia?aea? caei?i/oaaiith iaiioee AO
eeth/ai P2, oi m31= np aeey oiai, uia caei?i/oaaeanue naia ?aaoethth/a
iaiioea Wp c iaoith caiia?aaiiy aee?eaeaiiy oi?ie aeo?aeii? iai?oae ca
?aooiie ?iaeoeoeaiinoae ?icn?yiiy AO. A oeueiio ?ac? noai?th?oueny
eiioo? G-P2-E aiane?aeie aeiaeaaaiiy ii iiaeoeth 2 ia?oiai oa o?aoueiai
?yaee?a AOI.

I?e m32=1 caaacia/o?oueny aeeiiaiiy ae?oaiai oiiieia?/iiai e?eoa??th
i?aoeacaeaoiino? o aa?ieiooiio noai? eeth/a P2 oa iiaeiii aooe m31( np
aeey caiia?aaiiy caei?i/oaaiiy iaaaioaaeaiiy eeth/ai P2. Iiiaeeio
aa??aioia aeicaieaiiai caiiaiaiiy iiceoe?? 31 ooai?th? iaa?? {nx, nx+np,
nx+1}, aea nx=WX /W1 – eiao?oe??io o?ainoi?iaoe??, ui a?aeiia?aea?
aeiaeaoeia?e iaiiooe? WX aaoio?ainoi?iaoi?a. A ?acoeueoao? ia?ii 4
aa??aioe caiiaiaiiy AOI, iaaaaeai? ia ?en. 7.

1 2

1 2

1 2

1 2

G np 1 1 G np 1 1 G np 1 1 G np 1 1

P1 1 1 2 P1 1 1 2 P1 1 1 2 P1 1 1 2

P2 np 0 3 P2 nx 1 3 P2 nx+np 1 3 P2 nx+1 1 3

L E

L E

L E

L E

a)

a)

a)

a)

?en. 7

?i a?aeiia?aeathoue noaie a)…a) ia ?en. 8, a yeeo oacoaaiiy iaiioie AO
cae?eniaiaii oaeei /eiii, ui aa?ieiooee noai eeth/a P1 i?ecaiaeeoue aei
c?inoaiiy aiie?ooaee aeo?aeii? iai?oae. Noaie a) oa a) a?aeii?, aa??aioe
a) oa a) ?icoe?ththoue noaiioaoi?eo oeueiai eeano ia?aoai?thaa/?a i?e (
= 2.

I?ioeaaeo?a neioaco i?e c?inoaii? /enea eeth/?a aei /ioe?ueio (( = 4)
aeicaieeea aeyaeoe iia? noaie ia?aoai?thaa/?a, i?eaaaeai? ia ?en. 8ae oa
?en. 8?. I?e oeueiio noaia ae) aieiae?? iiceoeaiith aeanoea?noth –
iaioith anoaiiaeaiith iiooaei?noth AO o ii??aiyii? c? noaiith ?),
ine?eueee iaiioea Wx noai?aia /anoeiith ia?aeiii? iaiioee W1.

A ?acoeueoao? canoinoaaiiy iao?e/ii-oiiieia?/ii? oai??? iiaoaeiae AI
?ic?iaeaii iaoiaeeee neioaco oa iaea?aeaii iaai?e noai iaeiieaneaaeieo
?iaa?oi??a, aeai?ioa?aaeueieo iaeiioaeoieo ia?aoai?thaa/?a iino?eii?
iai?oae, aaciina?aaei?o ia?aoai?thaa/?a /anoioe (AI*). Aeyaeaii iia?
noaie: iaeiieaneaaeieo ?iaa?oi??a – aea?, aeai?ioa?aaeueieo iaeiioaeoieo
ia?aoai?thaa/?a iino?eii? iai?oae aac aaeueaai?/ii? ?icaycee – aea? oa
o?e noaie oanoeioeuenieo AI*, ui na?ae/eoue i?i aoaeoeai?noue
?ic?iaeaiiai iaoiaeo neioaco. Iiaeaeueoee aiae?c iieacaa, ui a?eueo?noue
c iiaeo noai ia? aeaye? ia?aaaae o ii??aiyii? c a?aeiieie. Oea aea?
i?aenoaae ?aeiiaiaeoaaoe cai?iiiiiaaiee iaoiae no?oeoo?iiai neioaco aeey
aeei?enoaiiy a iaoaioieo aeine?aeaeaiiyo.

A /aoaa?oiio ?icae?e? iai?yiie noaiiiai iiooeo iaiaaeaii
ia?aoai?thaa/aie iino?eii? iai?oae a iino?eio – iaeiioaeoieie,
aeaioaeoieie oa eaac??aciiainieie. I?e oeueiio iao?e/ii-oiiieia?/iee
iaoiae neioaco canoiniao?oueny a ??ciiaeae? oe?eani?yiiaaiiai ia?aai?o
oa aeey i?aenoai.

Aeey aeaioaeoieo ia?aoai?thaa/?a io?eiaii iae?iiiaeaeue c aeae?eaieie
i?aenoaiaie ?iaa?oi?a oa aei?yiey/a. Iao?e/ii-oiiieia?/iee eiia?iaoi?iee
ia?aa?? niinia?a ?o c’?aeiaiiy c iaaaioaaeaiiyi oa ao?aeiei aeaea?aeii
aea? 5 a?aeiieo aa??aio?a. Aeey io?eiaiiy ?aaoeueiaaiiai aeaioaeoiiai
ia?aoai?thaa/a iino?eii? iai?oae a ia?aaoeueiaaiee aeaioaeoiee
eiiaa?oi? aaiaeyoueny aeiaeaoeia? aeaiaioe, a ia??iae eiai ?iaioe
i?noeoue /ioe?e ?ioa?aaee noaeino? no?oeoo?e. Cae?eniaii neioac iiaiiai
iaai?o noai aeey aeiaaeeo, eiee ( = 6, a ia?aoai?thaa/? cae?enith?oueny
iiia?ia eiiooaoe?y aaioee?a ((oi = 4), aeaeo?iiaai?oi? i?ioeane a
caeaaeaeoaaeueiiio L1C1-o?eueo?? a?aeiia?aeathoue ia?aoai?thaa/o
cieaeoaaeueiiai oeio, ia? i?noea aaeueaai?/ia ?ica’ycea ao?aeieo oa
aeo?aeieo e?e ca aeiiiiiaith o?ainoi?iaoi?a L2, i?e/iio ia?aeiia iaiioea
ae?inaey L1 ?icoaoiaaia o ao?aei?e i?aenoai?. Oeae iaa?? i?noeoue 4
a?aeii? noaie.

?ic?iaeaii iaoiaeeeo neioaco aeinoaoiuei oe?ieiai eeano iaeiioaeoieo
ia?aoai?thaa/?a c aaeueaai?/iith ?ica’yceith, o yeeo ( = ( – 1 (iaiiaia
e?euee?noue eiiaeainaoi??a). Aei ieo, cie?aia, iaeaaeeoue i?yiioiaeiaee
ia?aoai?thaa/ c ?iciaai?/oaaeueiith iaiioeith (( = 2 , ( = 1). A oeeo
AI iaeei c aaaaoiiaiioeiaeo ?iaeoeoeaieo aeaiaio?a – o?ainoi?iaoi? i?e
ci?i? o?eaaeino? ea?oth/eo ?iioeuen?a i?aoeth? a ?aaeei? i?a?ea/anoiai
iaai?oiiai iioieo, a oie /an ye ina?aey ?ioeo ?iaeoeoeaieo aeaiaio?a
iacaeaaeii ?iciaai?/othoueny iai?oaaie ia a?aeiia?aeieo eiiaeainaoi?ao a
?aaeei? aacia?a?aiiai iaai?oiiai iioieo. A ?acoeueoao? e?euee?noue
?ioa?aae?a noaeino? no?oeoo?e ia?aoai?thaa/a c?inoa? aei o?ueio, i?e/iio
ia o?aoueiio ?ioa?aae? no?oi iaiaai?/oaaiiy o?ainoi?iaoi?a aei??aith?
ioeth, ui aea? i?aenoaao a?aeie?aieoe aeacai? ia?aoai?thaa/? a ie?aiee
i?aeeean AI ( o?e?ioa?aaeueieo iaeiioaeoieo ia?aoai?thaa/?a c iaiiaiith
e?euee?noth eiiaeainaoi??a. Neioaciaaiee iiaiee iaa?? noai oeeo
ia?aoai?thaa/?a c aeaiia A?A oa iaeiei eiiaeainaoi?ii ia?aoiao? 7 noai,
o?e c yeeo io?eiaii aia?oa. Aeaye? c aeiaeaeaieo noai iathoue ia?aaaae
o ii??aiyii? c a?aeiieie ca e.e.ae. oa anoaiiaeaiith iiooaei?noth
o?ainoi?iaoi?a.

sse a?aeiii, eaac??aciiaini? ia?aoai?thaa/? (E?I), o?aicenoi?e yeeo
i?aoeththoue a ?aaeei? ia?aeeth/aiiy i?e ioeueiaiio no?oi? (IIN) aai i?e
ioeueia?e iai?oc? (III), aeicaieythoue i?aeaeueoe /anoioo eiiooaoe?? aei
aeae?eueeio iaaaaa?oe, ?noioii iie?ioeoe ianiaaaa?eoi? iieacieee
ia?aoai?thaa/a oa eiai aeaeo?iiaai?oio noi?ni?noue. Aeacai? oaeoi?e
?iaeyoue E?I aeoaea ia?niaeoeaiei eeanii ia?aoai?thaa/?a iino?eii?
iai?oae, ? aeooaeueiei ? io?eiaiiy iiaieo iaai??a eaac??aciiainieo noai.
Iaoiaeeeo neioaco iniiaaii ia oi?iae?caoe?? caeaoiino? E?I ii?aeioaaoe a
nia? aeanoeaino? oe?ioii-?iioeuenieo ? ?aciiainieo ia?aoai?thaa/?a. A?ae
O?I-ia?aoai?thaa/?a aiie ia?aeiathoue i?eioeei iaeiie/aiiy aia?a?? a
?aaeoeaieo aeaiaioao noaie c ianooiiith ia?aaea/ath ?? a iaaaoaaeaiiy, a
a?ae ?aciiainieo ( aeiaeaoeiaee L?C? -eiioo?, ui caaacia/o?
neioni?aeaeueio oi?io no?oio aai iai?oae eeth/a. Aeanoeaino?
O?I-ia?aoai?thaa/?a a?aoiaothoueny iae?iiiaeaeeth aaciai? noaie o
aeaeyae? AOI ? oiiieia?/ii ia?aae?athoueny an? iiaeeea? niiniae
i?aeeeth/aiiy aeiaeaoeiaeo ?aaeoeaieo aeaiaio?a L?C?..

Aeey aaciai? noaie oe?ioii-?iioeueniiai ia?aoai?thaa/a Eoea-Iie?ea?iiaa
neioaciaaii ianooii? AOI, ui iienothoue noaii? ??oaiiy E?I-IIN (?en. 9a)
? E?I-III (?en. 9a).

1 2 3 4 5

1 2 3 4 5

LP 1 1 X 0 Y 1 LP 1 1 1 0 0 1

L1 0 1 X 0 Y 2 L1 X X X 0 1 2

L2 0 1 X 1 Y 3 L2 Y Y Y 1 0 3

V 0 1 X 0 Y 4 S 0 1 0 0 0 4

S CP C1 C2 E

V CP C1 C2 E

a)

a)

?en. 9

Eiia?iaoi?iee ia?aa?? cia/aiue iacaeaaeieo eia?/ieo ci?iieo X oa Y (?o
?iaa?ni? cia/aiiy iicia/ai? i?aee?aneaiiyi) i?eaiaeeoue aei /ioe?ueio
??ciiaeae?a iao?eoeue ? a?aeiia?aeieo noai aeey eiaeiiai c aeiaaee?a (ia
?en. 10 iaaaaeaii noaie E?I-IIN). Aea? c ieo a) ? a) io?eiaii aia?oa.

Aeey noaa?e?caoe?? aeo?aeieo iai?oa aaaaoieaiaeueieo o?aicenoi?ieo
ia?aoai?thaa/?a ia?niaeoeaiei ? aeei?enoaiiy iaai?oieo ?aaoeyoi??a ia
iniia? aeniei/anoioieo ae?inae?a iane/aiiy (AeI), aeeth/aieo a eiea
aeo?aeieo iaiioie o?ainoi?iaoi?a.

Ia iniia? canoinoaaiiy iao?e/ii-oiiieia?/iiai iaoiaeo neioaco aei
iae?iiiaeaeae ?iioeueniiai ia?aoai?thaa/a io?eiaii an? /ioe?e aa??aioe
aeeth/aiiy iaai?oieo ?aaoeyoi??a, ui aeicaieeei aeyaeoe iiao noaio, yea
a?ae??ciy?oueny a?ae a?aeiieo i?i?iaeueieie ao?aoaie iiooaeiino? ia
ia?aiaai?/oaaiiy ina?aey ae?inaey iane/aiiy.

I’yoee ?icae?e i?enay/aii aiae?oe/iiio neioaco aeai?ioa?aaeueieo
o?aicenoi?ieo iaeiioaeoieo ia?aoai?thaa/?a iino?eii? iai?oae (OIIII).
A?aooaaiiy aeiaeaoeiai? ?ioi?iaoe?? i?i oa?aeoa? i?io?eaiiy
aeaeo?iiaai?oieo i?ioean?a i?e oe?eani?yiiaaiiio neioac? ie?aieo eean?a
AI aeicaiey? aiae?oe/ii neioacoaaoe ia?aoai?thaa/? c iie?ioaieie
ianiaaaa?eoieie oa aia?aaoe/ieie iieacieeaie, niaoe?aeueiith oi?iith
?aaoethth/i? oa?aeoa?enoeee, ?c caaeaieie aeeiai?/ieie aeanoeainoyie.
I?e oaeiio i?aeoiae? iaoiaee aiae?co AI iiaeii? aooe iiaea?i?ciaai? oae,
uia aiie, c iaeiiai aieo, o yaiiio aeaeyae? a?aeia?aaeaee aeanoeaino?,
ui caaeathoueny, a c ae?oaiai – aoee aaeaioiaai? aei
iao?e/ii-oiiieia?/ii? oi?ie neioaco.

Yeaeo?iiaai?oi? i?ioeane a ia?aoai?thaa/ao, ui ?icaeyaeathoueny,
iienothoueny nenoaiith aeeoa?aioe?eieo ??aiyiue c eoni/ii-noaeeie
eiao?oe??ioaie, iaaaaeaiith a iao?e/i?e oi?i? caieno

,

(6)

aea /eneiaee ?iaeaen 1(2) aeaco? iiia? ?ioa?aaeo noaeino? no?oeoo?e;
x=[IL VC]T – aaeoi?e ieoo?aeo cia/aiue ci?iieo noaio (no?oi?a
iaiaai?/oaaiiy aaaaoiiaiioeiaeo ?iaeoeoeaieo aeaiaio?a ?/aai no?oi?a
iaeiiiaiioeiaeo ae?inae?a, a oaeiae iai?oa eiiaeainaoi??a); L, C –
ae?aaiiaeuei? iao?eoe? ia?aiao??a ?aaeoeaieo aeaiaio?a (aeey
aaaaoiiaiioeiaeo ?iaeoeoeaieo aeaiaio?a – ?iaeoeoeaiinoae
iaiaai?/oaaiiy); R1(2), G – iao?eoe? aeoeaieo iii??a oa i?ia?aeiinoae;
A1(2), b1(2), hT, cT- iao?eoe?, aaeoi?e-noiaioe? ? aaeoi?e-?yaeee c
iino?eieie eiao?oe??ioaie; A – ao?aeia iai?oaa; (G – aeo?aeia iai?oaa.

Iao?e/i? eiao?oe??ioe nenoaie (6) iiaeooue aooe aaciina?aaeiuei io?eiai?
c iieno i?eioeeiiai? noaie neeiai? /anoeie OIIII o aeaeyae? AOI, ui
i?noeoue ?ioi?iaoe?th i?i an? aieiai? eiioo?e ? ia?aoeie a?aoa noaie.
Iai?eeeaae, aeey nei?i/aii? SV-oi?ie AOI, iaaeaii? ia ?en. 11,

G 0 mGT 0

MSV = S MSL MSC mS

V MVL MVC mV

L C E

?en. 11

cia/aiiy iao?e/ieo eiao?oe??io?a nenoaie (6) oae?:

A1 = MSL-1MSC; b1 = – MSL-1mS;

A2 = MVL-1MVC; b2 = – MVL-1mV;

R1(2) = MS(V)L-1(RS(V) + MS(V)W RW MS(V)WT)( MS(V)LT) -1

G = D + hhTG; h = – mG ;

aea RV, RS , RW – ae?aaiiaeuei? iao?eoe? iii??a, ye? a?aoiaothoue
aeoeai? ao?aoe a eeth/ao oa iaiioeao ?iaeoeoeaieo aeaiaio?a; MS(V)W –
iao?e/i? aeiee ?icoe?aii? SV-oi?ie AOI; D – ae?aaiiaeueia iao?eoey
aeoeaieo i?ia?aeiinoae iiaeaeae eiiaeainaoi??a.

A?aeiia?aeii aei iaoiaeo aaeaino aiie?ooae ioeuenaoe?eieo ooieoe?e
onoaeaiee ?ica’ycie nenoaie (6) caaea?oueny o aeaeyae? ?yaeo ooieoe?e
ioeuenaoe?e:

(7)

aea J0, U0 – iino?ei? neeaaeia? ci?iieo noaio, Ji, Ui – aaeoi?e
a?aeiia?aeieo aiie?ooae i?e ooieoe?yo ioeuenaoe?e i-oiai ii?yaeeo.

Inoaii? caaeathoueny ?aeo?aioiei ni?aa?aeiioaiiyi:

Qi+1 = qi+1 -((t Qi dt; i = 0,1,2,…,

Q0 = ((t) – (0,

(8)

aea ((t) – eiiooaoe?eia ooieoe?y, ui i?eeia? iaeeie/ia cia/aiiy a
ia?oiio ?ioa?aae? noaeino? no?oeoo?e o?eaae?noth (T oa ioeueiaa cia/aiiy
o ae?oaiio ?ioa?aae? o?eaae?noth (1-( )T; T- ia??iae ?iaioe
ia?aoai?thaa/a; (0 =( – na?aaei? cia/aiiy eiiooaoe?eii? ooieoe??; qi –
ii?ioaaeuei? eiao?oe??ioe, ui aecia/athoueny c oiia caaacia/aiiy
iaeeie/iiai ?iciaoo ooieoe?e Qi. Cie?aia, q1 = [(1-( ) ( T]-1; q2 =
8/O.

A ?acoeueoao? i?aenoaiiaee ae?ac?a (7), (8) a (6) oa i?e??aithaaiiy
aaeoi?ieo eiao?oe??io?a i?e ioeuenaoe?eieo ooieoe?yo iaeiaeiaeo
ii?yaee?a io?eiaii oae? ?aeo?aioi? nenoaie ??aiyiue:

aeey aecia/aiiy iino?eieo neeaaeiaeo ci?iieo noaio o aeaeyae?

(9)

aeey aecia/aiiy aiie?ooae ioeuenaoe?eieo ooieoe?e ia?oiai ii?yaeeo, ui
e?i?eii ci?iththoueny, o aeaeyae?

(10)

aeey aecia/aiiy aiie?ooae ioeuenaoe?eieo ooieoe?e ae?oaiai ii?yaeeo, ui
ia?aaie?/ii ci?iththoueny, o aeaeyae?

?ica’ycie nenoaie (9) io?eiaii o aeaeyae?

J0 = (AT) -1GU0

U0 = ( I + A-1R (AT) -1G(-1 A- 1bE

(12)

aea I – iaeeie/ia iao?eoey.

Iaoiae aaeaino aiie?ooae ioeuenaoe?eieo ooieoe?e aeicaiey? aecia/eoe
iio??ai? ia?aiao?e ?aaeoeaieo aeaiaio?a, io?eiaoe e?eoa??? aeai?o
noaiieo ??oaiue ca aia?aaoe/iei oa aeeiai?/iei iieacieeaie, a oaeiae
caaeaoe oiiae aeeeth/aiiy ioeuenaoe?eieo ooieoe?e aeueo ii?yaee?a a
iaaaioaaeaii? aeey aiae?oe/iiai neioaco iaeiioaeoieo ia?aoai?thaa/?a.

Aeaaaeaii aiae?oe/i? ni?aa?aeiioaiiy, ui aecia/athoue no?oeoo?o OIIII, a
yeeo i?e o?eniaaieo ia?aiao?ao ?aaeoeaieo aeaiaio?a ciaioothoueny
ioeuenaoe?? aeo?aeii? iai?oae, aai i?e caaeaieo ioeuenaoe?yo
ciaioothoueny ia?aiao?e ?aaeoeaieo aeaiaio?a, a a?aeiia?aeii ? ?o
ianiaaaa?eoi? iieacieee.

Cie?aia, oiiaa a?aenooiino? o aeo?aei?e iai?oc? ioeuenaoe?eieo ooieoe?e
ia?oiai ii?yaeeo, aeeiiaiiy yei? aeicaiey? ciaioeoe ?ii?noue aeo?aeiiai
eiiaeainaoi?a, ia? aeaeyae:

hT(A1-A2)TJO=0.
(13)

Aeey ?aae?caoe?? oiiae (13) i?e iayaiino? /ioe?ueio ?aaeoeaieo aeaiaio?a
(aeaa ?iaeoeoeaieo aeaiaioe oa aeaa eiiaeainaoi?e) iaiao?aeii aeeiiaoe
caaaeueio oiiao

[A1]22 = [A2]22 ( 0

oa /anoeia? oiiae

[J0]1=0, ui ??aiineeueii [A1]21=[A2]21 = 0;

[A1]12=[A2]12 = 0;

[A1]12=[A2]12 ( 0.

I?e ?aae?caoe?? aeiiae a) na?aaei? cia/aiiy no?oio iaiaai?/oaaiiy
o?ainoi?iaoi?a L1 aei??aith? ioeth, ui a?aeiia?aea? neiao?e/iiio
ia?aiaai?/oaaiith ina?aey oa ciaioaiith aaaa?eoiiai ia?aiao?a
o?ainoi?iaoi?a. A?aeie?aiethth/e aeiiao a) ye aecia/aeueio aeanoea?noue,
io?eio?ii i?aeeean OIIII c neiao?e/iei ia?aiaai?/oaaiiyi ina?aey
o?ainoi?iaoi?a.

Ca oiiae aeeiiaiiy aeiia b) oa [A2]21(0 ciaioo?oueny aiie?ooaea
ioeuenaoe?eii? ooieoe?? ae?oaiai ii?yaeeo aeo?aeii? iai?oae OIIII
aiane?aeie /anoeiai? oe?ioii-?iioeuenii? iiaeoeyoe?? ao?aeii? iai?oae
L2C2-o?eueo?a. Ieaeiy noiaeeiea /anoeiai iiaeoeueiaaii? iai?oae
?aae?co?oueny iai?oaith eiiaeainaoi?a N1, iiey?i?noue yei? ni?yiiaaia
cono??/ii iiey?iino? aeo?aeii? iai?oae, ui ci?ia?oueny c eiiaeainaoi?a
N2. Iacaaii oaeee niin?a iie?ioaiiy yeino? aeo?aeii? iai?oae
iioaioe?aeueiith eiiiainaoe??th ioeuenaoe?e, a noaie, ui ?aae?cothoue
aeaiee niin?a, ia’?aeia?ii a i?aeeean OIIII c iioaioe?aeueiith
eiiiainaoe??th ioeuenaoe?e aeo?aeii? iai?oae.

I?e aeeiiaii? oiia n) oa [A2]12[A2]22 ( 0, ciaioo?oueny aiie?ooaea

ioeuenaoe?eii? ooieoe?? ae?oaiai ii?yaeeo aeo?aeii? iai?oae OIIII
aiane?aeie a?aei?iaiiy a aeo?aeiiio eiiaeainaoi?? ioeuenaoe?e no?oi?a
?iaeoeoeaieo aeaiaio?a oa ia? i?noea no?oiiaa eiiiainaoe?y ioeuenaoe?e
aeo?aeii? iai?oae. Noaie ia?aoai?thaa/?a, ui cieaeothoue ioeuenaoe?? o
oaeee niin?a, neeaaeathoue i?aeeean OIIII ?c no?oiiaith eiiiainaoe??th
ioeuenaoe?e aeo?aeii? iai?oae.

Iao?e/ii-oiiieia?/iei iaoiaeii neioaco anoaiiaeaii iiai? iaai?e noai
ia?aoai?thaa/?a c aeacaieie aeanoeainoyie, ye? iae?/othoue:

i?aeeean OIIII c neiao?e/iei ia?aiaai?/oaaiiyi ina?aeue o?ainoi?iaoi??a
(7 noai;

i?aeeean OIIII c no?oiiaith eiiiainaoe??th ioeuenaoe?e aeo?aeii? iai?oae
(6 noai (cia?aaeai? ia ?en. 12);

i?aeeean OIIII c iioaioe?aeueiith eiiiainaoe??th ioeuenaoe?e aeo?aeii?
iai?oae (10 noai.

Cai?iiiiiaaii iaoiaeeeo neioaco iaeiioaeoieo ia?aoai?thaa/?a iino?eii?
iai?oae c iaia?a?aiei no?oiiniiaeeaaiiyi aeey aeia?eueii? aeo?aeii?
i?aenoaie, ui aeicaiey? noaiioaoi?/ii iie?ioeoe aeaeo?iiaai?oio
noi?ni?noue aeaea?ae ?eaeo?iaeeaeaiiy, iiaoaeiaaieo ia ?o iniia?. A
io?eiaiiiio iiaiiio iaai?? noai iaeiioaeoieo ia?aoai?thaa/?a c aeacaiith
aeanoea?noth ciaeaeaii iiao noaio, ui ia?aaaaea? a?aeii? ca iai?oaith
eeth/?a oa ca aaee/eiith ioeuenaoe?e no?oio ao?aeiiai ae?inaey.

sse ?ioee i?eeeaae aiae?oe/iiai neioaco AI c? niaoe?aeueieie iaia?aae
caaeaieie aeanoeainoyie ?icaeyiooi iiaoaeiao OIIII, ui ?aae?cothoue
?aaoethaaeueio oa?aeoa?enoeeo i?aeaeuoaaeueiiai oeio. Oae?
ia?aoai?thaa/? iiaeooue ciaeoe aeei?enoaiiy a aenieiaieueoieo aeaea?aeao
aeeaeaiiy. Anoaiiaeaii, ui i?aeeean oeeo OIIII i?noeoue 6 noai.

A oinoiio ?icae?e? ?icaeyiooi i?aeoe/ia aeei?enoaiiy iaoiaeo
no?oeoo?iiai neioaco.

Aeey ?aiaeoaaiiy aaia?o?ieo noaiieo ??oaiue iaeiioaeoieo ia?aoai?thaa/?a
a caaeaieo oiiaao aenieoaoaoe?? ?ic?iaeaii aeeiai?/iee oa aia?aaoe/iee
e?eoa??? aeai?o iioeiaeueieo aa?eaio?a. sse aeeiai?/iee e?eoa??e aeai?o
i?iiiio?oueny aeei?enoiaoaaoe a?aie/i? cia/aiiy eiao?oe??io?a
noaa?e?caoe?? ii no?oio oa iai?oc?, ui aeinyaathoueny ia iaae? no?eeino?
a iaeiio. Aeey iaea?eueo iioe?aieo nenoai ea?oaaiiy c iiaeoeyoi?aie,
iiaoaeiaaieie ia iniia? ii??aiyiiy e?i?eii c?inoath/i? ieeeiiiae?aii?
iai?oae uI(t) c i?aeneeaiei neaiaeii cai?ioiueiai ca’yceo KO[UII – KAe
cTx(t)], ui caaacia/o? iaeiia?/io oe?ioii-?iioeuenio iiaeoeyoe?th
ae?oaiai ?iaeo, eiao?oe??io noaa?e?caoe?? ca no?oiii iaaaioaaeaiiy
aecia/a?oueny ae?acii

, (14)

-na?aaei? cia/aiiiy aeo?aeii? iai?oae; G oa Y=UG i?ia?aei?noue oa
na?aaei? cia/aiiy no?oio iaaaioaaeaiiy;  RA = A-1R(AT)-1;

– ocaaaeueiaiee eiao?oe??io i?aeneeaiiy c o?aooaaiiyi oaeoi?a
ioeuenaoe?e; E=EOEAe.

Ia?aiao?e KI oa KU iaaoaathoue iaeneiaeueieo cia/aiue i?e (=(a? ia iaae?
no?eeino? a iaeiio, eiee aeani? /enea iao?eoe? S ia?aaoaathoue ia iaae?
e?oaa iaeeie/iiai ?aae?ono. Naia oe? iaeneiaeueii i?eionoei? cia/aiiy
KImax e KUmax oa?aeoa?ecothoue a?aie/i? noaa?e?coth/? aeanoeaino?
eiie?aoii? noaie ia?aoai?thaa/a oa i?eeiathoueny ye aeeiai?/iee e?eoa??e
aeai?o iioeiaeueieo noaiieo ??oaiue OIIII.

, (15)

aea J1Y = Y–1J1; J0Y = Y–1J0; U0U = U–1U0; DR = G–1D.

?ic?aooiee ca oi?ioeith (15) i?e ??cieo cia/aiiyo eiao?oe??ioa
caiiaiaiiy ?iioeuen?a ea?oaaiiy ?aaoethth/iai o?aicenoi?a ( oa
eiao?oe??ioa o?ainoi?iaoe?? n aeicaieythoue ia o?eueee aecia/eoe
iaee?auo noaio ia?aoai?thaa/a aeey caaeaieo oiia aenieoaoaoe??, aea e
?ic?aooaaoe ia?aiao?e ?? iioeiaeueiiai onoaeaiiai ?aaeeio.

Io?eiai? oai?aoe/i? ?acoeueoaoe eyaee a iniiao iaeaoo i?eeeaaeieo
i?ia?ai aeey aiae?oe/ii? iiaoaeiae OIIII oa aeai?o iioeiaeueieo
aa??aio?a ca caaeaiei e?eoa???i.

Iaeao i?noeoue o?e i?ia?aii? iiaeoe?:

i?ia?aiiee iiaeoeue GEN (?ioa?oaen i?ia?aie iaaaaeaii ia ?en. 13)
aaia?o? an? aa??aioe AOI aeey caaeaieo no?oeoo?ieo iao?eoeue oa
e?eueeinoae aeaiaio?a ia?aoai?thaa/a;

i?ia?aiiee iiaeoeue I?A a?aeia?aaeo? o aeaeyae? a?ao?e?a e.e.ae. oa
?aaoethaaeueio oa?aeoa?enoeeo OIIII a caeaaeiino? a?ae eiao?oe??io?a ( ?
n oa aeicaiey? ia?aoe iioeiaeueiee aa??aio noaie ca aia?aaoe/iei
e?eoa???i;

i?ia?aiiee iiaeoeue I?D a?aeia?aaeo? o aeaeyae? a?ao?e?a eiao?oe??ioe
noaa?e?caoe?? KIiao, KUiao a caeaaeiino? a?ae eiao?oe??ioo ( ?
ia?aiao?o qN=( LC( T oa aeicaiey? ia?aoe iioeiaeueiee aa??aio noaie ca
aeeiai?/iei e?eoa???i.

?en. 13

Iaeao i?ia?ai ai?iaaaeaeaii a i?ioean i?iaeooaaiiy aeaea?ae
aeaeo?iaeeaeaiiy IAI “Aeoaaiia” (i. Ee?a), a oaeiae aeei?enoiao?oueny a
Iie?oaoi?oe? Caeaiiao?nuee?e (Iieueua).

Cai?iiiiiaai? aaoi?ii iaoiaeeee neioaco oa noaii? ??oaiiy ciaeoee
i?aeoe/ia canoinoaaiiy i?e noai?aii? ?yaeo eiie?aoieo i?eno?i?a
ia?aoai?thaaeueii? oaoi?ee, oaeeo, ye iiaeoeue aeaeo?iaeeaeaiiy OO 5002
(AE “?inoie”, i. Ee?a), caa?thaaeueieo iai?aaaoiiao?a AN-02 oa aeaea?ae
aeeaeaiiy eaniaeo aia?ao?a “SILEKS” (IAI “Aeoaaiia”, i. Ee?a).

A iaa/aeueiee i?ioean Iaoe?iiaeueiiai oaoi?/iiai oi?aa?neoaoo Oe?a?ie
“EI?” oa Aea?aeaaii? aeaaeai?? eaaei? i?iieneiaino? Oe?a?ie
ai?iaaaeaeai? iniiai? ?acoeueoaoe oai?aoe/ieo aeine?aeaeaiue
aeena?oaoe?eii? ?iaioe. Neeaaeaii iaoiaee/i? aeac?aee caaaeueiei ianyaii
3,45 ae.a aeey naiino?eiiai aea/aiiy ?icae?eo eo?no “Aiae?c aeaeo?iiieo
noai”, i?enay/aiiai neioaco AI.

AENIIAEE

A aeenna?oaoe?ei?e ?iaio? ?ic?iaeaii oai?aoe/i? iieiaeaiiy iiaiai
iaoiaeo no?oeoo?iiai neioaco aaioeeueieo ia?aoai?thaa/?a ia iniia?
aieiaii? oiiieia?/ii? iao?eoe? oa iaaeaia eiai i?aeoe/ia ?aae?caoe?y o
aeaeyae? iaoiaeee aaia?aoe?? noai iniiaieo eean?a i?eno?i?a
ia?aoai?thaaeueii? oaoi?ee. Io?eiai? a aeena?oaoe?? iaoiaee, aeai?eoie
oa i?ia?aie o noeoiiino? ?ica’ycothoue aaaeeeao iaoeiao i?iaeaio neioaco
noai aaioeeueieo ia?aoai?thaa/?a.

Iniiai? ?acoeueoaoe ?iaioe iieyaathoue a ianooiiiio:

1.Anoaiiaeaii, ui iniiaieie iai?yieaie aaeineiiaeaiiy ?nioth/eo iaoiae?a
neioaco ia?aoai?thaaeueieo i?eno?i?a ? ?ic?iaea e?eoa???a
i?aoeacaeaoiino? ? caaacia/aiiy iiaiioe aaia?o?ieo noaiieo ??oaiue,
oi?iae?caoe?y caaeaieo aeanoeainoae oa aeeeth/aiiy ?ciii?oieo aa??aio?a
neioaco.

2. Cai?iiiiiaaii iao?e/ii-oiiieia?/io oai??th neioaco noai AI, ui
aeeth/a? iien noai AI ca aeiiiiiaith aieiaii? oiiieia?/ii? iao?eoe?,
canoinoaaiiy oiiieia?/ieo e?eoa???a i?aoeacaeaoiino? AI, anoaiiaeaiiy
oiiieia?/ieo aea?aaeaio?a caaeaieo aeanoeainoae, aeei?enoaiiy yei? aea?
ciiao oi?iae?coaaoe i?ioeaaeo?o neioaco aoaeue-yeiai eeano AI.

3.Anoaiiaeaii oiiieia?/i? caeiiii??iino? iiaoaeiae noai AI, a naia:
aca?iica’ycie /enea aieiaieo eiioo??a oa ia?aoei?a a?aoa noaie c
e?euee?noth oa oeiii aeaiaio?a AI oa ?aaeeiaie ?o ?iaioe; iainiaeea?noue
i?aeiao?eoeue neioaco?ii? AOI, ui caaacia/othoue ?? ia?ao?ae a eiaeio c
?ioa?aaeueieo oi?i; oiiieia?/i? aea?aaeaioe aeanoeainoae aaeueaai?/ii?
?ica’ycee oa neiao??? noaie, aeei?enoaiiy yeeo aeicaiey? nei?ioeoe
e?euee?noue aa??aio?a c’?aeiaiiy aeaiaio?a i?e neioac?.

4.Cai?iiiiiaaii iaoiae no?oeoo?iiai neioaco AI ia iniia? AOI, ui
aeicaiey? aaia?oaaoe iiaiee iaa?? ia?ciii?oieo noai iaaiiai eeano ?c
caaeaieie aeanoeainoyie oa iiaea aeei?enoiaoaaoenue o aeaeyae? iiaiiai ?
oe?eani?yiiaaiiai ia?aai??a, canoiniaoaaoenue aei i?aenoai oiui.

5.Ia iniia? caaaeueiiai aeai?eoio iao?e/ii-oiiieia?/iiai neioaco
cai?iiiiiaaii iaoiaeeee neioaco oa io?eiaii 19 iiaeo noai oaeeo eean?a
AI: ?aaoeyoi??a ci?iii? iai?oae, aaoiiiiieo ?iaa?oi??a, aaciina?aaei?o
ia?aoai?thaa/?a /anoioe, iaeiioaeoieo, aeaioaeoieo oa eaac??aciiainieo
ia?aoai?thaa/?a, ?iioeuenieo ia?aoai?thaa/?a c iaai?oieie ?aaoeyoi?aie.

6.Cai?iiiiiaaii iaoiae aaeaino aiie?ooae ioeuenaoe?eieo ooieoe?e aeey
aiae?co onoaeaieo i?ioean?a o aeai?ioa?aaeueieo ia?aoai?thaa/ao
iino?eii? iai?oae ?c ci?iiith no?oeoo?ith, ui aeicaiey? io?eiaoe
aiae?oe/i? ae?ace aeey e. e. ae., ?aaoethaaeueii? oa?aeoa?enoeee,
aiie?ooae ioeuenaoe?eieo ooieoeee aeia?eueieo ii?yaee?a, a oaeiae
aiae?oe/ii caaeaoe oae? aeanoeaino?, ye eiiiainaoe?y ioeuenaoe?e
aeo?aeii? iai?oae, i?aeaeuoaaeueiee oei ?aaoethaaeueii? oa?aeoa?enoeee
oiui.

7.Ia iniia? aiae?oe/iiai i?aeoiaeo cai?iiiiiaaii i?eioeeie iiaoaeiae
i?aeeean?a noai o?aicenoi?ieo iaeiioaeoieo ia?aoai?thaa/?a iino?eii?
iai?oae c neiao?e/iei ia?aiaai?/oaaiiyi ina?aeue o?ainoi?iaoi??a, c
no?oiiaith eiiiainaoe??th ioeuenaoe?e aeo?aeii? iai?oae, c
i?aeaeuoaaeueiith ?aaoethth/ith oa?aeoa?enoeeith, oa io?eiaii iiai?
iaai?e noai aeacaieo i?aeeean?a. Aeiiiaiaii iiaeie noaiaie i?aeeeane
iaeiioaeoieo ia?aoai?thaa/?a c iioaioe?aeueiith eiiiainaoe??th
ioeuenaoe?e aeo?aeii? iai?oae oa aacia?a?aiith e?eaith niiaeeaa?iiai
no?oio. I?ei??oao aaoi?a a ?ic?iaoe? aeacaieo i?aeeean?a noai caoeuaiee
11 aaoi?nueeeie na?aeioeoaaie ? cayaeaie ia iaoaioe.

8. Noai?aii i?ia?aiia caaacia/aiiy aeey aiae?oe/ii? iiaoaeiae noai
iaeiioaeoieo ia?aoai?thaa/?a ?c caaeaieie aeanoeainoyie oa aeai?o
iioeiaeueieo aa??aio?a aeey caaeaieo oiia aenieoaoaoe?? ca ?ic?iaeaieie
aeeiai?/iei oa aia?aaoe/iei e?eoa??yie.

9. ?acoeueoaoe aeeiiaieo a aeena?oaoe?? oai?aoe/ieo aeine?aeaeaiue ?
i?aeoe/ieo ?ic?iaie ciaeoee canoinoaaiiy a ?yae? aeine?aeieo
i?aai?caoe?e, i?iieneiaeo i?aei?e?inoa ? aeueo iaa/aeueieo caeeaaeao
Oe?a?ie oa ca ?? iaaeaie (AE “?inoie”, i. Ee?a, IAI “Aeoaaiia”, i. Ee?a,
Iie?oaoi?ea Caeaiiao?nueea, Iieueua, Iaoe?iiaeueiee oaoi?/iee
oi?aa?n?oao Oe?a?ie “EI?”, Aea?aeaaia aeaaeai?y eaaei? i?iieneiaino?
Oe?a?ie, i. Ee?a).

10. Noi?ioeueiaai? a aeena?oaoe?? iaoeia? iieiaeaiiy, ?aeiiaiaeaoe?? ?
aeniiaee ? aeinoaoiuei iaa?oioiaaieie, ai aacothoueny ia aeeaieiio
oai?aoe/iiio aiae?c?, ei?aeoi?e iinoaiiaoe? ?ica’ycoaaieo caaaeaiue,
aca?iica’yceo iiaeo noai, ui io?eiai? a i?ioean? neioaco, c a?aeiieie.

11.?acoeueoaoe aeena?oaoe?eii? ?iaioe ?aeiiaiaeothoueny aeey
aeei?enoaiiy a ?ic?iaeao ?inoeoooo aeaeo?iaeeiai?ee IAI Oe?a?ie (i.
Ee?a), Oa?e?anueeiai aea?aeaaiiai iie?oaoi?/iiai oi?aa?neoaoo,
Oe?a?inueeiio IAe? neeiai? aeaeo?ii?ee “Ia?aoai?thaa/” (i. Caii??aeaey),
IAe? AI OAIC (i. Oa?e?a).

INIIAI? IOAE?EAOe?? CA OAIITH AeENA?OAOe??

A?oaiaiei I.A. Aiaeec nenoai n ia?aiaiiie no?oeoo?ie iaoiaeii aaeaina
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A?oaiaiei I.A. Aiaeeoe/aneee neioac no?oeoo? o?aicenoi?iuo
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A?oaiaiei I.A. Neioac ?aaoeyoi?ia ia?aiaiiiai iai?yaeaiey (( Yeaeo?iieea
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A?oaiaiei I.A. Neioac o?aicenoi?iuo i?aia?aciaaoaeae iai?yaeaiey ia
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A?oaiaiei I.TH. Neioac eaac??aciiainieo ia?aoai?thaa/?a iino?eii?
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A?oaiaiei I. A. Iao?e/ii-oiiieiae/aneee neioac aaioeeueiuo
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A?oaiaiei I. A. Oiiieiae/aneee neioac iaeiioaeoiuo o?aicenoi?iuo
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A?oaiaiei I. A. Oiiieiae/aneay oai?ey iino?iaiey o?aicenoi?iuo
i?aia?aciaaoaeae iai?yaeaiey. Proceedings of the 3rd ISTC
“Unconventional Electromechanical and Electrical Systems”, Alushta, the
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A?oaiaiei I. A., Ii?icia A.A. Noaaeeece?iaaiiua i?aia?aciaaoaee
iai?yaeaiey n iaaieoiuie ?aaoeyoi?aie // Oaoi?/ia aeaeo?iaeeiai?ea.
Niaoe?aeueiee aeione 2. – 1998. -O.1. -N. 90-93.

A?oaiaiei I.A., Iiaeeaae/eeia A.I., Uaeeiiiaia A.A. Aaeoi?iue niinia
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?aaeeiyeaeo?iieea. – 1991. – Aui. 28. – N. 3-5.

A?oaiaiei I. A., Oaoa? I.A. Oiiieiae/aneee aiaeec o?aicenoi?iuo
i?aia?aciaaoaeae iai?yaeaiey // Yeaeo?iieea e naycue. – 1996. Aui. 1. –
N. 107-114.

A?oaiaiei I.A., Oaoa? I.A. Neioac o?aicenoi?iuo i?aia?aciaaoaeae
iai?yaeaiey n caaeaiiuie naienoaaie // Oaoie/aneay
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A?oaiaiei I.A., Uaeeiiiaia A.A. Iaoeiiue ?an/ao a?aie/iiai eiyooeoeeaioa
oneeaiey OEI // Aanoi. Eeaa. iieeoaoi. ei-oa. ?aaeeiyeaeo?iieea. –1992.
– Aui. 29. – N. 109-112.

A?oaiaiei I.A., Uaeeiiiaia A.A. Noaaeeece?othuea naienoaa OEI n
ia?aiaiiie no?oeoo?ie i?e eciaiaiee oiea iaa?ocee // Aanoi. Eeaa.
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AEoeeia A.ss., A?oaiaiei I.A. Aeai?eoi iao?e/ii-oiiieiae/aneiai neioaca
aaioeeueiuo i?aia?aciaaoaeae // Yeaeo?iieea e naycue. -1998. -Aui. 4. –
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Ei?ioaaa E.A., A?oaiaiei I.A. ?an/ao eiyooeoeeaioa noaaeeecaoeee
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A.n. 1529369 NNN?, IEE I02I 3/335. ?aaoee?oaiue iaeiioaeoiue
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A.n. 1580500 NNN?, IEE I02I 3/335. Iaeiioaeoiue i?aia?aciaaoaeue
iinoiyiiiai iai?yaeaiey a iinoiyiiia /I.A. A?oaiaiei, A.Ae. Aoeue, E.O.
Iaeueoae (NNN?).-3 n. ee.; Iioae. 23.07.90, Athe. ?27.

A.n. 1638775 NNN?, IEE I02I 3(335. Noaaeeece?iaaiiue iaeiioaeoiue
i?aia?aciaaoaeue iai?yaeaiey ( A.A. Ii?icia, I.A. A?oaiaiei, A.Ae.
Aoeue, E.O. Iaeueoae (NNN?). – 6 n. ee.; Iioae. 30.03.91, Athe. ?12.

A.n. 1665477 NNN?, IEE I02I 3(335. Iaeiioaeoiue i?aia?aciaaoaeue
iinoiyiiiai iai?yaeaiey ( I.A. A?oaiaiei (NNN?). – 3 n. ee.; Iioae.
23.07.91, Athe. ?27.

A.n. 1676032 CCCP, IEE I02I3/335. Iaeiioaeoiue i?aia?aciaaoaeue
iinoiyiiiai iai?yaeaiey /I.E. A?oaiaiei, A.A. Ii?icia (NNN?). – 3 n.
ee.; Iioae. 07.09.91, Athe. ?33.

A.n. 1728947 NNN?, IEE I02I 3(335. Noaaeeece?iaaiiue iaeiioaeoiue
i?aia?aciaaoaeue iai?yaeaiey ( A.A. Ii?icia, I.A. A?oaiaiei, A.Ae. Aoeue
(Oe?aeia). – 6 n. ee.; Iioae. 23.04.92, Athe. ?15.

A.n. 1737664 NNN?, IEE I02I 3/335. ?aaoee?oaiue iaeiioaeoiue
i?aia?aciaaoaeue iai?yaeaiey /I.A. A?oaiaiei (Oe?aeia). – 3 n. ee.;
Iioae. 30.05.92, Athe. ?20.

A.n. 1791933 NNN?, IEE II2I 3/335. Iaeiioaeoiue i?aia?aciaaoaeue
iinoiyiiiai iai?yaeaiey / I.A. A?oaiaiei (Oe?aeia). – 4 n. ee.; Iioae.
30.01.93, Athe. ?4.

A.n. 1793520 NNN?, IEE I02I 3/335. ?aaoee?oaiue iaeiioaeoiue
i?aia?aciaaoaeue iinoiyiiiai iai?yaeaiey a iinoiyiiia / I.A. A?oaiaiei,
A.A. Iiiia, A.A. Iaeaiei (Oe?aeia). – 3 n. ee.; Iioae. 07.02.93, Athe.
?5.

A.n. 1809515 NNN?, IEE3 I02I 3(337. I?aia?aciaaoaeue iinoiyiiiai
iai?yaeaiey ( I.A. A?oaiaiei, A.A. Ii?icia (Oe?aeia). – 3 n. ee.; Iioae.
15.04.93, Athe. ?14.

A.n. 1826113 NNN?, IEE3 I02I 3(335. ?aaoee?oaiue iaeiioaeoiue
i?aia?aciaaoaeue iai?yaeaiey ( I.A. A?oaiaiei, ?.I. Ne?eiiee (Oe?aeia).
– 3 n. ee.; Iioae. 07.07.93, Athe. ?25.

Cayaea ? 94063171 Oe?aeia, IEE I02I 3/335. Iaeiioaeoiue i?aia?aciaaoaeue
iinoiyiiiai iai?yaeaiey a iinoiyiiia/ I.A. A?oaiaiei (Oe?aeia), I.A.
Oaoa? (Eaiai).- Iioae. a IA “I?iieneiaa aeani?noue” ? 2, 1997.-N. 2.94.

Cayaea ? 94076312 Oe?aeia, IEE I02I 3/335. Iaeiioaeoiue i?aia?aciaaoaeue
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Cayaea ? 95031292 Oe?aeia, IEE I02I 3/336. Iaeiioaeoiue i?aia?aciaaoaeue
iai?yaeaiey / I.A. Oaoa? (Eaiai), I.A. A?oaiaiei (Oe?aeia). – Iioae. a
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A?oaiaiei I.A., E?eooaoiae/ E.A., Neieoeuia E.C. Nia?aiaiiua iaoiaeu
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Iaoiaee/i? aeac?aee aeey naiino?eii? ?iaioe ii eo?no “Aiae?c aeaeo?iiieo
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A?oaiaiei I.A., Aoeue A.Ae., Ii?icia A.A. Iiiaieaiaeueiue EAYI.–A na.:
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A?oaiaiei I.A. Oeo/oaiea ianniaaaa?eoiuo iieacaoaeae iaeiioaeoiuo
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A?oaiaiei I.A. Iao?e/iue iaoiae aiaeeca iaeiioaeoiuo i?aia?aciaaoaeae
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A?oaiaiei I.TH. Iao?e/ii-oiiieia?/iee neioac no?oeoo? aaioeeueieo LINK
Word.Document.6 A:\\AREF.DOC OLE_LINK1 \a \r \* MERGEFORMAT
ia?aoai?thaa/ ?a.

– ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy aeieoi?a oaoi?/ieo iaoe ca
niaoe?aeuei?noth 05.09.12 – iai?ai?ia?aeieeia? ia?aoai?thaa/?
aeaeo?iaia?a??.- ?inoeooo aeaeo?iaeeiai?ee IAI Oe?a?ie, Ee?a, 1998.

Aeena?oaoe?y i?enay/aia ?ic?iaoe? oai?aoe/ieo iieiaeaiue neioaco noai
aaioeeueieo ia?aoai?thaa/?a ?c caaeaieie aeanoeainoyie ia iniia?
aieiaii? oiiieia?/ii? iao?eoe?. Aeyaeai? oiiieia?/i? caeiiii??iino?
iiaoaeiae noai ia?aoai?thaaeueieo i?eno?i?a. Cai?iiiiiaaiee iaoiae
no?oeoo?iiai neioaco canoiniaaii aeey aaia?aoe?? iiaieo iaai??a noai
iniiaieo eean?a aaioeeueieo ia?aoai?thaa/?a. Io?eiai? iia? noai
ia?aoai?thaa/?a, ?ic?iaeai? i?ia?aie aeai?o iioeiaeueieo aa??aio?a noai
ca caaeaieie e?eoa??yie. Iniiai? ?acoeueoaoe ?iaioe ciaeoee i?iieneiaa
ai?iaaaeaeaiiy i?e noai?aii? ?yaeo eiie?aoieo i?eno?i?a
ia?aoai?thaaeueii? oaoi?ee c iie?ioaieie oaoi?/ieie oa?aeoa?enoeeaie.

Eeth/ia? neiaa: no?oeoo?iee neioac, aaioeeuei? ia?aoai?thaa/?, aieiaia
oiiieia?/ia iao?eoey.

A?oaiaiei I.A. Iao?e/ii-oiiieiae/aneee neioac no?oeoo? aaioeeueiuo
i?aia?aciaaoaeae. – ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie aeieoi?a oaoie/aneeo iaoe ii
niaoeeaeueiinoe 05.09.12 – iieoi?iaiaeieeiaua i?aia?aciaaoaee
yeaeo?iyia?aee.- Einoeooo yeaeo?iaeeiaieee IAI Oe?aeiu, Eeaa, 1998.

Aeenna?oaoeey iinayuaia ?ac?aaioea oai?aoe/aneeo iieiaeaiee neioaca
no?oeoo? aaioeeueiuo i?aia?aciaaoaeae n caaeaiiuie naienoaaie ia iniiaa
aeaaiie oiiieiae/aneie iao?eoeu. Auyaeaiu oiiieiae/aneea caeiiiia?iinoe
iino?iaiey noai i?aia?aciaaoaeueiuo ono?ienoa. I?aaeeiaeaiiue iaoiae
no?oeoo?iiai neioaca i?eiaiai aeey aaia?aoeee iieiuo iaai?ia noai
iniiaiuo eeannia aaioeeueiuo i?aia?aciaaoaeae. Iieo/aiu iiaua noaiu
i?aia?aciaaoaeae, ?ac?aaioaiu i?ia?aiiu auai?a iioeiaeueiuo aa?eaioia
noai ii caaeaiiui e?eoa?eyi. Iniiaiua ?acoeueoaou ?aaiou iaoee
i?iiuoeaiiia i?eiaiaiea i?e nicaeaiee ?yaea eiie?aoiuo ono?ienoa
i?aia?aciaaoaeueiie oaoieee n oeo/oaiiuie oaoie/aneeie oa?aeoa?enoeeaie.

Eeth/aaua neiaa: neioac no?oeoo?iue, aaioeeueiua i?aia?aciaaoaee,
aeaaiay oiiieiae/aneay iao?eoea.

Artemenko M.Ju. Matrix-topological synthesis of semiconductor
converters’ structures.- Manuscript.

Thesis for doctors degree by specialty 05.09.12 – semiconductor
converters of electric energy.- The Institute of Electrodynamics of
National Academy of Sciences of Ukraine, Kyiv, 1998.

The dissertation is devoted to evolving of theoretical concepts of
synthesis of semiconductor converters with specified features by means
of main topologic matrix. The regularities in construction of
converters’ topologies were emerged. The method of structure synthesis
for voltage converters was proposed. Synthesis procedures for generation
of full sets of different classes of semiconductor converters were
given. New converters’ topologies were found and computer programs for
choosing of best variants by given criteria’s were developed. The
results of work have found an industrial utility in the creation of
semiconductor converters with enhanced technical characteristics.

Key words: structure synthesis, semiconductor converter, main topologic
matrix

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