Differential games for neutral-type systems: An approximation model / Lukoyanov N. Yu.,Plaksin A. R. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2015. - V. 291, l. 1. - P. 190-202.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

For a conflict-controlled dynamical system whose motion is described by neutraltype functional differential equations in Hale's form and for a quality index that evaluates the motion history realized up to the terminal instant of time, we consider a differential game in the class of control-with-guide strategies. We construct an approximating differential game in the class of pure positional strategies in which the motion of a conflict-controlled system is described by ordinary differential equations and the quality index is terminal. We show that the value of the approximating game gives the value of the original game in the limit, and that the optimal strategies in the original game can be constructed by using the optimal motions of the approximating game as guides.

Author keywords:

нет данных

DOI:

10.1134/S0081543815080155

Web of Science ID:

ISI:000369344400015

Соавторы в МНС:

Другие поля

Поле	Значение
Month	NOV
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	nyul@imm.uran.ru a.r.plaksin@gmail.com
ResearcherID-Numbers	Lukoyanov , Nikolai/Q-6872-2016
Funding-Acknowledgement	Russian Science Foundation {[}15-11-10018]
Funding-Text	This work is supported by the Russian Science Foundation under grant 15-11-10018.
Number-of-Cited-References	25
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	7
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	DC6QJ