Stabilization of linear autonomous systems of differential equations with distributed delay / Dolgii Yu. F. // AUTOMATION AND REMOTE CONTROL. - 2007. - V. 68, l. 10. - P. 1813-1825.

ISSN/EISSN:

0005-1179 / нет данных

Type:

Article

Abstract:

Consideration is given to the problem of optimal stabilization of differential equation systems with distributed delay. The optimal stabilizing control is formed according to the principle of feedback. The formulation of the problem in the functional space of states is used. It was shown that coefficients of the optimal stabilizing control are defined by algebraic and functional-differential Riccati equations. To find solutions to Riccati equations, the method of successive approximations is used. The problem for this control law and performance criterion is to find coefficients of a differential equation system with distributed delay, for which the chosen control is a control of optimal stabilization. A class of control laws for which the posed problem admits an analytic solution is described.

Author keywords:

QUADRATIC OPTIMAL-CONTROL; STABILITY; COST

DOI:

10.1134/S0005117907100098

Web of Science ID:

ISI:000250579400009

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	OCT
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	QUADRATIC OPTIMAL-CONTROL; STABILITY; COST
Research-Areas	Automation \& Control Systems; Instruments \& Instrumentation
Web-of-Science-Categories	Automation \& Control Systems; Instruments \& Instrumentation
Number-of-Cited-References	43
Usage-Count-Since-2013	1
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	226HG