Asymptotic representation of a solution to a singular perturbation linear time-optimal problem / Danilin A. R.,Kovrizhnykh O. O. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2013. - V. 281, l. 1. - P. S22-S35.

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. An asymptotic expansion of the optimal time up to the second order of smallness is constructed and validated.

Author keywords:

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

DOI:

10.1134/S0081543813050039

Web of Science ID:

ISI:000320460300003

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	JUN
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 {[}11-01-00679-a]; Federal Target Program {[}02.740.11.0612]; Program of the Presidium of the Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics in Mathematics and Physics{''} {[}12-P-1-1009]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project no. 11-01-00679-a), by the Federal Target Program (contract no. 02.740.11.0612), and by the Program of the Presidium of the Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics in Mathematics and Physics{''} (project no. 12-P-1-1009).
Number-of-Cited-References	18
Usage-Count-Since-2013	2
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	165CK