On pulse optimal control of linear systems with aftereffect / Zhelonkina N. I.,Lozhnikov A. B.,Sesekin A. N. // AUTOMATION AND REMOTE CONTROL. - 2013. - V. 74, l. 11. - P. 1802-1809.

ISSN/EISSN:

0005-1179 / 1608-3032

Type:

Article

Abstract:

The paper deals with the problem of pulse optimal control of a linear dynamic system with aftereffect. As a functional, the degenerate quadratic functional of the most common kind is considered. The absence of control in the functional leads to the fact that the optimal control contains a pulse component. Sufficient conditions of existence of the pulse optimal control are obtained and the equations describing coefficients in the optimal control are worked out. Sufficient conditions that make it possible to integrate equations and to find the coefficients in an explicit form for the optimal control are established. A model example is considered.

Author keywords:

QUADRATIC OPTIMIZATION; TIME-DELAY; EQUATIONS; STATE

DOI:

10.1134/S0005117913110039

Web of Science ID:

ISI:000326941700003

Соавторы в МНС:

Другие поля

Поле	Значение
Month	NOV
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1608-3032
Keywords-Plus	QUADRATIC OPTIMIZATION; TIME-DELAY; EQUATIONS; STATE
Research-Areas	Automation \& Control Systems; Instruments \& Instrumentation
Web-of-Science-Categories	Automation \& Control Systems; Instruments \& Instrumentation
ResearcherID-Numbers	Zhelonkina, Natalya/R-8967-2016
ORCID-Numbers	Sesekin, Alexander/0000-0002-1339-9044
Funding-Acknowledgement	Russian Foundation for Basic Research {[}13-01-00304]; Ural Branch of the Russian Academy of Sciences {[}12-C-1-1017]; Siberian Branch of the Russian Academy of Sciences {[}12-C-1-1017]
Funding-Text	This work was supported by the Russian Foundation for Basic Research, project no. 13-01-00304, and the Goal-Oriented Program of the Ural Branch and the Siberian Branch of the Russian Academy of Sciences ``Quality Theory and Numerical Methods for Problems of Dynamics, Control and Optimization{''} (project no. 12-C-1-1017).
Number-of-Cited-References	10
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	22
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	251PG