Programmed iteration method and sets of positional absorption / Chentsov A. G. // DOKLADY MATHEMATICS. - 2016. - V. 93, l. 2. - P. 159-163.

ISSN/EISSN:

1064-5624 / 1531-8362

Type:

Article

Abstract:

A pursuit-evasion differential game is considered, and the programmed iteration method is used to construct a set of positional absorption corresponding to the Krasovskii-Subbotin alternative theorem. The case is considered where the set of positions determining the state constraints may not be closed (in the position space), but has closed sections corresponding to fixed times. Properties are established that are interpreted as the (one-sided) continuity of the positional absorption set from above, and the relation to the solution of the game in the class of set-valued quasi-strategies is shown.

Author keywords:

нет данных

DOI:

10.1134/S106456241602006X

Web of Science ID:

ISI:000376416100008

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8362
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	chentsov@imm.uran.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}15-01-07909]
Funding-Text	This work was supported by the Russian Foundation for Basic Research, project no. 15-01-07909.
Number-of-Cited-References	15
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	3
Journal-ISO	Dokl. Math.
Doc-Delivery-Number	DM5UQ