The problem of computing the value of a differential game for a positional functional / Lukoyanov NY // PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS. - 1998. - V. 62, l. 2. - P. 177-186.

ISSN/EISSN:

0021-8928 / нет данных

Type:

Article

Abstract:

A dynamical system driven by controls and uncontrollable noise is considered in a game-theoretic setting {[}1-8]. The problem of feedback control in which the performance index is a positional functional of the motion of the system {[}8-11] is investigated. On the assumption that the structure of the functional satisfies reasonably general conditions, a procedure is proposed for computing the value of the corresponding differential game. Irrespective of the number of dimensions in the initial problem, as dictated by the structure of the performance index, the proposed procedure reduces to the problem of the successive construction of the upper convex hulls of certain auxiliary functions in domains whose dimension does not exceed that of the phase vector of the system. (C) 1998 Elsevier Science Ltd. All rights reserved.

Author keywords:

нет данных

DOI:

нет данных

Web of Science ID:

ISI:000076412200002

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	15
Usage-Count-Since-2013	1
Journal-ISO	Pmm-J. Appl. Math. Mech.
Doc-Delivery-Number	128NE