Minimizing of weighted functional on trajectories of a linear system with delay integrally bounded impulse control / Koreshnikova M. A.,Sesekin A. N. // . - 2014. - V. 1631, l. . - P. 181-187.

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

The problem of minimizing of the weighted functional on trajectories of linear time-delay systems with integral constraints on the control is studied.This problem does not have a solution in the class of measurable controls. We have formulated an extended problem in the class of trajectories - functions of bounded variation and substantiated the Cauchy formula for the linear equation with delay in this class of functions. For extended problem we have obtained an expression for the optimal result. The necessary conditions for determining of the optimal control were found. The case of a terminal functional was considered separately.

Author keywords:

Linear system; impulse control; systems with time delay

DOI:

10.1063/1.4902475

Web of Science ID:

ISI:000346058100026

Соавторы в МНС:

Другие поля

Поле	Значение
Editor	Venkov, G and Pasheva, V
Booktitle	APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14)
Series	AIP Conference Proceedings
Note	40th International Conference of Applications of Mathematics in Engineering and Economics, Sozopol, BULGARIA, JUN 08-13, 2014
Organization	Tech Univ Sofia, Fac Appl Math \& Informat; Tech Univ Sofia, Res \& Dev Sect
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
ISBN	978-0-7354-1270-5
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Mathematics, Interdisciplinary Applications; Physics, Applied
Author-Email	sesekin@list.ru
ORCID-Numbers	Sesekin, Alexander/0000-0002-1339-9044
Number-of-Cited-References	11
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	9
Doc-Delivery-Number	BB7WA