Stochastic equilibria control and chaos suppression for 3D systems via stochastic sensitivity synthesis / Bashkirtseva Irina,Chen Guanrong,Ryashko Lev // COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. - 2012. - V. 17, l. 8. - P. 3381-3389.

ISSN/EISSN:

1007-5704 / нет данных

Type:

Article

Abstract:

In this paper, we consider a nonlinear controlled system forced by stochastic disturbances. The problem addressed is to design a feedback regulator that can stabilize an equilibrium of the closed-loop system and, around this equilibrium, to synthesize a required dispersion of random states of the corresponding system. We use a stochastic sensitivity function technique to approximate the stationary probabilistic distribution of these random states. We also develop a new method for stabilization based on the stochastic sensitivity synthesis. A constructive description of the attainability set of the stochastic sensitivity matrices for a 3D system is given. The effectiveness of the new approach is demonstrated by the 3D stochastic Chen system. It is shown that the new regulator provides a low level of sensitivity and can suppress both regular and chaotic oscillations. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.

Author keywords:

Stochastic equilibrium; Control; Stochastic sensitivity; Attainability; Stabilization; Chaos suppression LORENZ CANONICAL FORM; DYNAMICAL-SYSTEMS; BIFURCATION; FEEDBACK

DOI:

10.1016/j.cnsns.2011.12.004

Web of Science ID:

ISI:000302619600024

Соавторы в МНС:

Другие поля

Поле	Значение
Month	AUG
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
Keywords-Plus	LORENZ CANONICAL FORM; DYNAMICAL-SYSTEMS; BIFURCATION; FEEDBACK
Research-Areas	Mathematics; Mechanics; Physics
Web-of-Science-Categories	Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	lev.ryashko@usu.ru
ORCID-Numbers	Chen, Guanrong/0000-0003-1381-7418
Funding-Acknowledgement	Hong Kong Research Grants Council under the GRF {[}CityU1114/11E]; {[}RFBR10-01-96022ural]
Funding-Text	This work was partially supported by grant RFBR10-01-96022ural and by the Hong Kong Research Grants Council under the GRF Grant CityU1114/11E.
Number-of-Cited-References	26
Usage-Count-Since-2013	9
Journal-ISO	Commun. Nonlinear Sci. Numer. Simul.
Doc-Delivery-Number	923LA