On extremal shift strategies in delayed systems
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
On extremal shift strategies in delayed systems
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| Автор |
Plaksin, A. R.
Lukoyanov, N. Y. |
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| Тематика |
DELAYED SYSTEM
EXTREMAL SHIFT POSITIONAL DIFFERENTIAL GAME |
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| Описание |
We consider a differential game in which the motion of a conflict-controlled dynamical system is described by an equation with delay, the initial condition is determined by a piecewise continuous function, and the performance index assesses the history of the motion realized by the terminal time and involves an integral estimate for the realizations of the players' controls. The optimality of the players' positional strategies constructed by the method of extremal shift to an accompanying point is proved. The main result of the paper states that the accompanying point is chosen from a finite-dimensional neighborhood of the current state of the system. © 2021 Krasovskii Institute of Mathematics and Mechanics. All rights reserved.
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| Дата |
2024-04-08T11:07:49Z
2024-04-08T11:07:49Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Plaksin, AR & Lukoyanov, NYE 2021, 'О стратегиях экстремального сдвига в системах с запаздыванием', Trudy Instituta Matematiki i Mekhaniki UrO RAN, Том. 27, № 2, стр. 150-161. https://doi.org/10.21538/0134-4889-2021-27-2-150-161
Plaksin, A. R., & Lukoyanov, N. Y. E. (2021). О стратегиях экстремального сдвига в системах с запаздыванием. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 27(2), 150-161. https://doi.org/10.21538/0134-4889-2021-27-2-150-161 0134-4889 Final All Open Access; Bronze Open Access http://journal.imm.uran.ru/sites/default/files/content/27_2/TrIMMUrORAN_2021_2_p150_L.pdf http://journal.imm.uran.ru/sites/default/files/content/27_2/TrIMMUrORAN_2021_2_p150_L.pdf http://elar.urfu.ru/handle/10995/131516 45771410 10.21538/0134-4889-2021-27-2-150-161 85108271045 000660522100013 |
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| Язык |
ru
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Krasovskii Institute of Mathematics and Mechanics
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| Источник |
Trudy Instituta Matematiki i Mekhaniki UrO RAN
Trudy Instituta Matematiki i Mekhaniki UrO RAN |
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