Asymptotics of the Optimal Time in a Singular Perturbed Linear Time-Optimal Problem / Danilin A. R.,Kovrizhnykh O. O. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2010. - V. 271, l. 1. - P. S53-S65.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

Abstract:

A time-optimal control problem is considered for a linear system with fast and slow variables and smooth geometric constraints on the control. For the optimal time and optimal control, asymptotic expansions in a small parameter at the derivatives in the equations of the system and a small perturbation of the initial conditions are constructed.

Author keywords:

optimal control; time-optimal control problem; asymptotic expansion; singular perturbed problems; small parameter

DOI:

10.1134/S0081543810070059

Web of Science ID:

ISI:000208363900005

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	OCT
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, Applied; Mathematics
Author-Email	dar@imm.uran.ru koo@imm.uran.ru
ORCID-Numbers	Danilin, Aleksei Rufimovich/0000-0002-8711-2026
Funding-Acknowledgement	Russian Foundation for Basic Research {[}08-01-00260]; Program for State Support of Leading Scientific Schools {[}NSh-2215.2008.1]; Program for Fundamental Research of the Presidium of the Russian Academy of Sciences
Funding-Text	This work was partially supported by the Russian Foundation for Basic Research (project no. 08-01-00260), by the Program for State Support of Leading Scientific Schools (project no. NSh-2215.2008.1), and by the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences.
Number-of-Cited-References	12
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	V23TA