Guarantee optimization in functional-differential systems with a control aftereffect / Gomoyunov M. I.,Lukoyanov N. Yu. // PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS. - 2012. - V. 76, l. 4. - P. 369-377.

ISSN/EISSN:

0021-8928 / нет данных

Type:

Article

Abstract:

The problem of calculating the optimal guaranteed result and constructing a control strategy that ensures this result is considered in the case of a dynamical system that is controlled under conditions where there is interference and which contains an aftereffect with respect to the state and the control. The optimizing factor consists of two terms. The first term estimates the deviations of the trajectory of motion of the system at specified times from the specified targets and the second term is an integral estimate of the forms of the control and the interference. By a functional treatment of the control process based on an original prediction of the motions, the problem is reduced to finding the value and the saddle point in a differential game without an aftereffect and with a terminal estimate of the motion. The value is calculated by the method of downwards convex hulls of auxiliary functions from stochastic program synthesis. The optimal strategies forming the saddle point are constructed by the extremum shift method. The results of numerical experiments are presented. (C) 2012 Elsevier Ltd. All rights reserved.

Author keywords:

CONFLICT CONTROL

DOI:

10.1016/j.jappmathmech.2012.09

Web of Science ID:

ISI:000312362700001

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
Keywords-Plus	CONFLICT CONTROL
Research-Areas	Mathematics; Mechanics
Web-of-Science-Categories	Mathematics, Applied; Mechanics
Author-Email	nyul@imm.uran.ru
ResearcherID-Numbers	Gomoyunov, Mikhail/N-7759-2016 Lukoyanov , Nikolai/Q-6872-2016
Funding-Acknowledgement	Ural Branch of the Russian Academy of Sciences {[}12-P-1-1002]; Russian Foundation for Basic Research {[}12-01-00290-a, 11-01-12088-ofi-m-2011]; Presidium of the Russian Academy of Sciences
Funding-Text	This research was carried out within the framework of the programme of the Presidium of the Russian Academy of Sciences ``Dynamical Systems and Control Theory{''
Number-of-Cited-References	12
Usage-Count-Since-2013	3
Journal-ISO	Pmm-J. Appl. Math. Mech.
Doc-Delivery-Number	054SE