Stabilization of stochastically perturbed nonlinear oscillations / Ryashko L. B. // AUTOMATION AND REMOTE CONTROL. - 2007. - V. 68, l. 10. - P. 1871-1880.

ISSN/EISSN:

0005-1179 / нет данных

Type:

Article

Abstract:

A problem of stabilization of stochastic oscillatory modes of nonlinear dynamic system is considered. The solution of this problem rests on the spectral criterion of the exponential mean square (root-mean-square) stability of stochastically perturbed limit cycles. The analysis of the stabilizability reduces to the minimization of the spectral radius of a certain positive operator. The efficient possibilities of the obtained stabilizability criterion are illustrated for the case of the cycle on the plane, where the construction of a stabilizing regulator reduces to the minimization of the quadratic functional.

Author keywords:

нет данных

DOI:

10.1134/S000511790710013X

Web of Science ID:

ISI:000250579400013

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
Research-Areas	Automation \& Control Systems; Instruments \& Instrumentation
Web-of-Science-Categories	Automation \& Control Systems; Instruments \& Instrumentation
Number-of-Cited-References	16
Usage-Count-Since-2013	2
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	226HG