Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints / Danilin A. R.,Korobitsyna N. S. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2014. - V. 285, l. 1. - P. S58-S67.

ISSN/EISSN:
0081-5438 / 1531-8605
Type:
Article
Abstract:
An optimal control problem is considered for solutions of a boundary value problem for a second-order ordinary differential equation on a closed interval with a small parameter at the second derivative. The control is scalar and satisfies geometric constraints. General theorems on approximation are obtained. Two leading terms of an asymptotic expansion of the solution are constructed and an error estimate is obtained for these approximations.
Author keywords:
optimal control; time-optimal problem; asymptotic expansion; singular perturbation problems; small parameter
DOI:
10.1134/S008154381405006X
Web of Science ID:
ISI:000338337200005
Соавторы в МНС:
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Другие поля
Поле Значение
Month JUN
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 dar@imm.uran.ru
ORCID-Numbers Danilin, Aleksei Rufimovich/0000-0002-8711-2026
Funding-Acknowledgement Russian Foundation for Basic Research {[}11-01-00679]; Program for Fundamental Research of the Presidium of the Russian Academy of Sciences; Program for State Support of Leading Universities of the Russian Federation {[}02.A03.21.0006]
Funding-Text This work was partially supported by the Russian Foundation for Basic Research (project no. 11-01-00679), by the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences, 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 15
Usage-Count-Since-2013 3
Journal-ISO Proc. Steklov Inst. Math.
Doc-Delivery-Number AK3PN