Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint / Danilin A. R. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2015. - V. 291, l. 1. - P. S66-S76.

ISSN/EISSN:
0081-5438 / 1531-8605
Type:
Article
Abstract:
A control problem for solutions of a boundary value problem for a second-order ordinary differential equation with a small parameter at the second derivative is considered on a closed interval. The control is scalar and subject to integral constraints. We construct a complete asymptotic expansion in powers of the small parameter in the Erd,lyi sense.
Author keywords:
optimal control; time-optimal problem; asymptotic expansion; singular perturbation problems; small parameter
DOI:
10.1134/S0081543815090059
Web of Science ID:
ISI:000366347200005
Соавторы в МНС:
Другие поля
Поле Значение
Month DEC
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 {[}13-01-00090, 14-01-00322]; Program for Fundamental Research of Presidium of Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics in Mathematical and Physical Sciences{''}; Ural Branch of Russian Academy of Sciences {[}12-P-1-1009]
Funding-Text This work was partially supported by the Russian Foundation for Basic Research (project nos. 13-01-00090 and 14-01-00322) and by the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics in Mathematical and Physical Sciences{''} (with financial support of the Ural Branch of the Russian Academy of Sciences, project no. 12-P-1-1009).
Number-of-Cited-References 14
Usage-Count-Last-180-days 1
Usage-Count-Since-2013 2
Journal-ISO Proc. Steklov Inst. Math.
Doc-Delivery-Number CY3ZA