The Program Iteration Method in a Game Problem of Guidance / Chentsov A. G. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2017. - V. 297, l. 1. - P. S43-S61.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

A variant of the program iteration method for solving a game problem of guidance to a target set under state constraints is considered. We study a procedure for the construction of a positional absorption set corresponding to N. N. Krasovskii and A. I. Subbotin's alternative theorem, which underlies the modern theory of differential games. Important results on the alternative solvability of differential games for systems with distributed parameters and aftereffect belong to Yu. S. Osipov. These results are an essential complement to the ideas related to the alternative for dynamic problems of infinite-dimensional nature. The solution method from the present paper is intended for the ``finite-dimensional{''} case of a differential game of approach-evasion.

Author keywords:

differential game; generalized open-loop control; iteration method DIFFERENTIAL GAME; EVASION

DOI:

10.1134/S0081543817050066

Web of Science ID:

ISI:000410252500006

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUL
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Keywords-Plus	DIFFERENTIAL GAME; EVASION
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	chentsov@imm.uran.ru
Funding-Acknowledgement	Program of the Presidium of the Russian Academy of Sciences ``Mathematical Problems of Contemporary Control Theory{''}; Russian Foundation for Basic Research {[}16-01-00505, 16-01-00649]
Funding-Text	This work was supported by the Program of the Presidium of the Russian Academy of Sciences ``Mathematical Problems of Contemporary Control Theory{''} and by the Russian Foundation for Basic Research (project nos. 16-01-00505 and 16-01-00649).
Number-of-Cited-References	24
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	FG4RG