Singular linear-quadratic control problem for systems with linear delay / Sesekin A. N. // . - 2013. - V. 1570, l. . - P. 268-275.

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

A singular linear-quadratic optimization problem on the trajectories of non-autonomous linear differential equations with linear delay is considered. The peculiarity of this problem is the fact that this problem has no solution in the class of integrable controls. To ensure the existence of solutions is required to expand the class of controls including controls with impulse components. Dynamical systems with linear delay are used to describe the motion of pantograph from the current collector with electric traction, biology, etc. It should be noted that for practical problems fact singularity criterion of quality is quite commonly occurring, and therefore the study of these problems is surely important. For the problem under discussion optimal programming control contained impulse components at the initial and final moments of time is constructed under certain assumptions on the functional and the right side of the control system.

Author keywords:

Linear-quadratic control problem; impulse control; systems with linear delay TIME-DELAY; OPTIMIZATION

DOI:

10.1063/1.4854765

Web of Science ID:

ISI:000346051300030

Соавторы в МНС:

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Другие поля

Поле	Значение
Editor	Pasheva, V and Venkov, G
Booktitle	39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE13)
Series	AIP Conference Proceedings
Note	39th International Conference on Applications of Mathematics in Engineering and Economics (AMEE), Sozopol, BULGARIA, JUN 08-13, 2013
Organization	Tech Univ Sofia, Fac Appl Math \& Informat
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
Keywords-Plus	TIME-DELAY; OPTIMIZATION
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Physics, Applied
Number-of-Cited-References	9
Usage-Count-Since-2013	3
Doc-Delivery-Number	BB7UX