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Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Gomoyunov, M. I. | en |
dc.date.accessioned | 2021-08-31T14:58:17Z | - |
dc.date.available | 2021-08-31T14:58:17Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Gomoyunov M. I. Extremal shift to accompanying points in a positional differential game for a fractional-order system / M. I. Gomoyunov. — DOI 10.21538/0134-4889-2019-25-1-11-34 // Trudy Instituta Matematiki i Mekhaniki UrO RAN. — 2019. — Vol. 25. — Iss. 1. — P. 11-34. | en |
dc.identifier.issn | 1344889 | - |
dc.identifier.other | Final | 2 |
dc.identifier.other | All Open Access, Bronze | 3 |
dc.identifier.other | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078269582&doi=10.21538%2f0134-4889-2019-25-1-11-34&partnerID=40&md5=3c3085da5cca7724e491b0208d8ab1ae | |
dc.identifier.other | http://journal.imm.uran.ru/sites/default/files/content/25_1/TrIMMUrORAN_2019_1_p11_L.pdf | m |
dc.identifier.uri | http://elar.urfu.ru/handle/10995/101587 | - |
dc.description.abstract | A two-person zero-sum differential game is considered. The motion of the dynamical system is described by an ordinary differential equation with a Caputo fractional derivative of order α ∈ (0, 1). The performance index consists of two terms: the first depends on the motion of the system realized by the terminal time and the second includes an integral estimate of the realizations of the players’ controls. The positional approach is applied to formalize the game in the “strategies — counter-strategies” and “counter-strategies — strategies” classes as well in the “strategies — strategies” class under the additional saddle point condition in the small game. In each case, the existence of the value and of the saddle point of the game is proved. The proofs are based on an appropriate modification of the method of extremal shift to accompanying points, which takes into account the specific properties of fractional-order systems. © 2019 Krasovskii Institute of Mathematics and Mechanics. All rights reserved. | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | ru | en |
dc.publisher | Krasovskii Institute of Mathematics and Mechanics | en |
dc.rights | info:eu-repo/semantics/openAccess | en |
dc.source | Tr. Inst. Mat. Meh. UrO RAN | 2 |
dc.source | Trudy Instituta Matematiki i Mekhaniki UrO RAN | en |
dc.subject | CAPUTO DERIVATIVE | en |
dc.subject | COUNTER-STRATEGY | en |
dc.subject | DIFFERENTIAL GAME | en |
dc.subject | EXTREMAL SHIFT | en |
dc.subject | FRACTIONAL-ORDER DIFFERENTIAL EQUATION | en |
dc.subject | GAME VALUE | en |
dc.subject | POSITIONAL STRATEGY | en |
dc.title | Extremal shift to accompanying points in a positional differential game for a fractional-order system | en |
dc.title | Экстремальный сдвиг на сопутствующие точки в позиционной дифференциальной игре для системы дробного порядка | ru |
dc.type | Article | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | info:eu-repo/semantics/publishedVersion | en |
dc.identifier.rsi | 37051090 | - |
dc.identifier.doi | 10.21538/0134-4889-2019-25-1-11-34 | - |
dc.identifier.scopus | 85078269582 | - |
local.contributor.employee | Gomoyunov, M.I., Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108, Russian Federation, Ural Federal University, Yekaterinburg, 620002, Russian Federation | |
local.description.firstpage | 11 | - |
local.description.lastpage | 34 | - |
local.issue | 1 | - |
local.volume | 25 | - |
dc.identifier.wos | 000470956900002 | - |
local.contributor.department | Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108, Russian Federation | |
local.contributor.department | Ural Federal University, Yekaterinburg, 620002, Russian Federation | |
local.identifier.pure | 9205451 | - |
local.identifier.eid | 2-s2.0-85078269582 | - |
local.identifier.wos | WOS:000470956900002 | - |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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2-s2.0-85078269582.pdf | 332,73 kB | Adobe PDF | Просмотреть/Открыть |
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