A Complete Asymptotic Expansion of a Solution to a Singular Perturbation Optimal Control Problem on an Interval with Geometric Constraints / Danilin A. R. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2017. - V. 296, l. 1, 1. - P. S119-S127.

ISSN/EISSN:
0081-5438 / 1531-8605
Type:
Article
Abstract:
We consider an optimal control problem for solutions of a boundary value problem on an interval for a second-order ordinary differential equation with a small parameter at the second derivative. The control is scalar and is subject to geometric constraints. Expansions of a solution to this problem up to any power of the small parameter are constructed and justified.
Author keywords:
optimal control; asymptotic expansion; singular perturbation problems; small parameter
DOI:
10.1134/S0081543817020110
Web of Science ID:
ISI:000403678000011
Соавторы в МНС:
Другие поля
Поле Значение
Month APR
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 {[}14-01-00322]; Program for Fundamental Research of the Ural Branch of the Russian Academy of Sciences; Ministry of Education and Science of the Russian Federation {[}02.A03.21.0006]; Ural Federal University
Funding-Text This work was partially supported by the Russian Foundation for Basic Research (project no. 14-01-00322), by the Program for Fundamental Research of the Ural Branch of the Russian Academy of Sciences (project ``Development of new analytic, numerical, and asymptotic methods for the investigation of problems of mathematical physics and application to signal processing{''}), and by the Russian Academic Excellence Project (agreement no. 02.A03.21.0006 of August 27, 2013, between the Ministry of Education and Science of the Russian Federation and Ural Federal University).
Number-of-Cited-References 7
Usage-Count-Last-180-days 2
Usage-Count-Since-2013 2
Journal-ISO Proc. Steklov Inst. Math.
Doc-Delivery-Number EY0VS