On the Stability of a Procedure for Solving a Minimax Control Problem for a Positional Functional / Gomoyunov M. I.,Lukoyanov N. Yu. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2015. - V. 288, l. 1. - P. S54-S69.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

We consider a minimax feedback control problem for a linear dynamic system with a positional quality criterion, which is the norm of the family of deviations of the motion from given target points at given times. The problem is formalized as a positional differential game. A procedure for calculating the value of the game based on the backward construction of upper convex hulls of auxiliary program functions is studied. We also study a method of generating a minimax control law based on this procedure and on the extremal shift principle. The stability of the proposed resolving constructions with respect to computational and informational noises is proved.

Author keywords:

optimal control; differential games; stability COMPACT CONVEX-SETS; PROPERTY

DOI:

10.1134/S0081543815020078

Web of Science ID:

ISI:000352991400006

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Keywords-Plus	COMPACT CONVEX-SETS; PROPERTY
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	m.i.gomoyunov@gmail.com nyul@imm.uran.ru
ResearcherID-Numbers	Gomoyunov, Mikhail/N-7759-2016 Lukoyanov , Nikolai/Q-6872-2016
Funding-Acknowledgement	Program of the Presidium of the Russian Academy of Sciences; Ural Branch of the Russian Academy of Sciences {[}12-P-1-1002]; Russian Foundation for Basic Research {[}12-01-00290-a]; Program for State Support of Leading Universities of the Russian Federation {[}02.A03.21.0006]
Funding-Text	This work was supported by the Program of the Presidium of the Russian Academy of Sciences ``Dynamic Systems and Control Theory,{''} by the Ural Branch of the Russian Academy of Sciences (project no. 12-P-1-1002), by the Russian Foundation for Basic Research (project no. 12-01-00290-a), and by the Program for State Support of Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013).
Number-of-Cited-References	8
Usage-Count-Since-2013	3
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	CG0VY