A Hamilton-Jacobi type equation in control problems with hereditary information / Lukoyanov NY // PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS. - 2000. - V. 64, l. 2. - P. 243-253.

ISSN/EISSN:

0021-8928 / нет данных

Type:

Article

Abstract:

In the problem of conflict control with a each of information, formalized as a differential game {[}1-11] in a system with delays, a Hamilton-Jacobi type equation is written for the value functional using the concept of co-invariant derivatives {[}12]. Like that set out earlier {[}10], the corresponding generalized minimax solution of this equation is considered. Control strategies extremal to the given solution are constructed. It is proved that these strategies form a saddle point bf the game, while the value functional is identical with the minimax solution of the equation. (C) 2000 Elsevier Science Ltd. All rights reserved.

Author keywords:

нет данных

DOI:

10.1016/S0021-8928(00)00046-0

Web of Science ID:

ISI:000088829900007

Соавторы в МНС:

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Другие поля

Поле	Значение
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
Research-Areas	Mathematics; Mechanics
Web-of-Science-Categories	Mathematics, Applied; Mechanics
ResearcherID-Numbers	Lukoyanov , Nikolai/Q-6872-2016
Number-of-Cited-References	14
Usage-Count-Since-2013	1
Journal-ISO	Pmm-J. Appl. Math. Mech.
Doc-Delivery-Number	345RX