On a Minimax Control Problem for a Positional Functional under Geometric and Integral Constraints on Control Actions / Kornev D. V.,Lukoyanov N. Yu. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2016. - V. 293, l. 1. - P. S85-S100.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

Within the game-theoretical approach, we consider a minimax feedback control problem for a linear dynamical system with a positional quality index, which is the norm of the deviation of the motion from given target points at given times. Control actions are subject to both geometric and integral constraints. A procedure for the approximate calculation of the optimal guaranteed result and for the construction of a control law that ensures the result is developed. The procedure is based on the recursive construction of upper convex hulls of auxiliary program functions. Results of numerical simulations are presented.

Author keywords:

minimax control; differential games; integral constraints; nonterminal payoff DIFFERENTIAL-GAMES; PROGRAM SYNTHESIS

DOI:

10.1134/S0081543816050096

Web of Science ID:

ISI:000380005200009

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	JUL
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Keywords-Plus	DIFFERENTIAL-GAMES; PROGRAM SYNTHESIS
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	v.kornev@gmail.com nyul@imm.uran.ru
ResearcherID-Numbers	Lukoyanov , Nikolai/Q-6872-2016
Funding-Acknowledgement	Russian Science Foundation {[}15-11-10018]
Funding-Text	This work was supported by the Russian Science Foundation (project no. 15-11-10018).
Number-of-Cited-References	20
Usage-Count-Since-2013	1
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	DR6II