On the asymptotics of the optimal value of the performance functional in a linear optimal control problem / Danilin A. R.,Parysheva Yu. V. // DIFFERENTIAL EQUATIONS. - 2011. - V. 47, l. 4. - P. 560-570.

ISSN/EISSN:

0012-2661 / нет данных

Type:

Article

Abstract:

We consider the asymptotics of the optimal value of the performance functional in an optimal control problem for a linear system with rapid and slow variables, with convex terminal performance functional depending on the slow variables, and with smooth geometric constraints on the control. We find sufficient conditions for the regularity of asymptotics and construct an algorithm for finding the complete asymptotics of the optimal value of the performance functional.

Author keywords:

нет данных

DOI:

10.1134/S0012266111040100

Web of Science ID:

ISI:000291251500010

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
ORCID-Numbers	Danilin, Aleksei Rufimovich/0000-0002-8711-2026
Funding-Acknowledgement	Russian Foundation for Basic Research {[}08-01-00260]; Russian Federation {[}NSh-6249.2010.1]
Funding-Text	The research was supported by the Russian Foundation for Basic Research (project no. 08-01-00260) and the Program for Support of Leading Scientific Schools of the Russian Federation (project no. NSh-6249.2010.1).
Number-of-Cited-References	18
Journal-ISO	Differ. Equ.
Doc-Delivery-Number	772RE