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http://bura.brunel.ac.uk/handle/2438/4953
Title: | Stabilization of a class of stochastic nonlinear time-delay systems |
Authors: | Wang, Z Lam, J Liu, X |
Keywords: | Nonlinear systems;Stochastic systems;Time-delay;Lyapunov stability;Algebraic matrix inequalities |
Issue Date: | 2004 |
Publisher: | InforMath Publishing Group |
Citation: | Nonlinear Dynamics and Systems Theory 4(3): 357-368, Dec 2004 |
Abstract: | In this paper, the stabilization problem is considered for a class of nonlinear continuous stochastic systems with state delays. The purpose of this problem is to design a state feedback controller such that the closed- loop system is exponentially stable (or exponentially ultimately bounded) in the mean square, for all admissible nonlinearities and time-delays. We first investigate the sufficient conditions for the nonlinear stochastic time-delay systems to be stable, and then derive the explicit expression of the desired controller gains. A numerical simulation example is provided to show the usefulness of the proposed design method. |
Description: | This is the post print version of the article. The official published version can be obtained from the link below - Copyright 2004 InforMath Publishing Group |
URI: | http://www.e-ndst.kiev.ua/v4n3.htm http://bura.brunel.ac.uk/handle/2438/4953 |
ISSN: | 1562-8353 |
Appears in Collections: | Computer Science Dept of Computer Science Research Papers |
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