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Сибирские электронные математические известия, 2022, том 19, выпуск 1, страницы 371–377 DOI: https://doi.org/10.33048/semi.2022.19.032
(Mi semr1508)
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Вещественный, комплексный и и функциональный анализ
Problem of multiple capture of given number of evaders in recurrent differential games
N. N. Petrov, N. A. Solov'eva Udmurt State University, 1, Universitetskaya str., Izhevsk, 426034, Russia
DOI:
https://doi.org/10.33048/semi.2022.19.032
Аннотация:
The problem of pursuit by a group of pursuers of a group of evaders with equal opportunities for all participants and geometric restrictions on the control of players is considered. The evaders use program strategies, each pursuer catches no more than one evader. The goal of the pursuers is to catch a given number of evaders, and each evader needs to be caught no less than a certain number of pursuers. In this paper, sufficient conditions are obtained for multiple capture of a given number of evaders.
Ключевые слова:
differential game, pursuer, evader, recurrent function.
Поступила 4 августа 2020 г., опубликована 7 июля 2022 г.
Образец цитирования:
N. N. Petrov, N. A. Solov'eva, “Problem of multiple capture of given number of evaders in recurrent differential games”, Сиб. электрон. матем. изв., 19:1 (2022), 371–377
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr1508 https://www.mathnet.ru/rus/semr/v19/i1/p371
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