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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