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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 251–261
(Mi timm441)
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On solving a pursuit game problem with fixed termination time
V. N. Ushakova, D. K. Mikhalevb, I. V. Baidosova a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b "Yandex" Ltd.
Abstract:
A pursuit game problem for the first player with fixed termination time is considered. An approximate method is suggested for constructing the positional absorption set, which is the solvability set for the pursuit problem. Recurrence relations are written that define a system of sets approximating the positional absorption set in the phase space of the conflict-controlled system. A resolving control procedure with a guide is described, which copies the controls.
Keywords:
game problem, control, differential game, differential inclusion, guide.
Received: 26.05.2009
Citation:
V. N. Ushakov, D. K. Mikhalev, I. V. Baidosov, “On solving a pursuit game problem with fixed termination time”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 251–261; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S285–S296
Linking options:
https://www.mathnet.ru/eng/timm441 https://www.mathnet.ru/eng/timm/v15/i4/p251
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Abstract page: | 433 | Full-text PDF : | 118 | References: | 84 | First page: | 3 |
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