Problems of conflict control of high dimensionality functional systems / Lukoyanov NY,Reshetova TN // PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS. - 1998. - V. 62, l. 4. - P. 545-554.

ISSN/EISSN:

0021-8928 / нет данных

Type:

Article

Abstract:

A minimax control problem with a performance index which is the sum of two terms is considered for a system with a delay. The first of these two terms in the Euclidean norm of the set of deviations of the motion of the system at specified instants of time from the stipulated objectives, while the second term is an integral-quadratic penalty which is imposed on the form of the control actions. The problem arises in a differential game. In this case, the history of the motion serves as the information for the strategies. A functional treatment of the control process in question is given which is based on an original prediction of the motion. A procedure for calculating the value of the game and for constructing minimax and maximin control strategies, which is convenient for numerical implementation, is obtained from this treatment and from the construction of hulls, convex upwards, of auxiliary functions from the method of stochastic program synthesis. The results of a numerical experiment are presented. (C) 1998 Elsevier Science Ltd. All rights reserved.

Author keywords:

нет данных

DOI:

нет данных

Web of Science ID:

ISI:000077876900007

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	11
Usage-Count-Since-2013	1
Journal-ISO	Pmm-J. Appl. Math. Mech.
Doc-Delivery-Number	154EZ