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Stabilization of a class of nonlinear composite stochastic systems

 

作者: Christophe Boulanger,  

 

期刊: Stochastic Analysis and Applications  (Taylor Available online 2000)
卷期: Volume 18, issue 5  

页码: 723-735

 

ISSN:0736-2994

 

年代: 2000

 

DOI:10.1080/07362990008809694

 

出版商: Marcel Dekker, Inc.

 

关键词: Stochastic Differential Equation;Stochastic Stability;Composite Stochastic System;Feedback Law

 

数据来源: Taylor

 

摘要:

This paper deals with the stability for a class of nonlinear composite stochastic systems by feedback laws.Firstly,we give sufficient conditions for the existence of feedback laws which render the equilibrium solution of the stochastic system globally asymptotically stable in probability.Secondly,for stochastic systems of the same type,we prove that there exists a linear feedback law which exponentially stabilizes in mean square the closed–loop stochastic system at its equilibrium.

 

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