文章基本信息

标题：Exponential Stability of Nonlinear Stochastic Systems with Time-delay
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作者：Qian, Wei ; Wang, Shaohua ; Liu, Juan 等
期刊名称：Journal of Computers
印刷版ISSN：1796-203X
出版年度：2013
卷号：8
期号：2
页码：493-500
DOI：10.4304/jcp.8.2.493-500
语种：English
出版社：Academy Publisher
摘要：This note studies the exponential stability of nonlinear stochastic systems with time delay. Firstly, a more general Lyapunov-Krasovskii functional is constructed, and based on Ito calculus rules for stochastic systems, a novel delay-dependent sufficient condition for exponential stability in mean square is derived in terms of linear matrix inequalities, and it is proved in theory that the obtained stability condition is less conservative. Then, the proposed method is extended to nonlinear time-delay systems and retarded time-delay systems and the corresponding stability criteria are obtained. Finally, numerical examples are given to illustrate that the obtained results in this paper are less conservative than some existing ones.
关键词：Stochastic systems;time delay;nonlinear uncertainties;exponential stability;linear matrix inequality (LMI)