Robust stability of uncertain nonlinear stochastic systems with variable delay

被引：0
|
作者：
Gao W.-H. [1 ,2 ]
Deng F.-Q. [1 ]
机构：
[1] School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, Guangdong
[2] School of Science, South China University of Technology, Guangzhou 510640, Guangdong
来源：
Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science) | 2010年 / 38卷 / 06期
关键词：
Parameter dependence; Polytopic-type uncertainty; Robust stability; Stochastic systems; Time delay;
D O I：
10.3969/j.issn.1000-565X.2010.06.010
中图分类号：
学科分类号：
摘要：
This paper deals with the robust stability of polytopic-type uncertain nonlinear stochastic systems with distributed and discrete delays. In the investigation, the sufficient conditions for the delay-dependent and parameter-dependent robust stability of the systems are determined on the basis of the parameter-dependent Lyapunov-Krasovskii functional and by using the stochastic Lyapunov stability theory and the free-weighting matrix method. Then the stability criteria of the systems are proposed in the form of linear matrix inequality. A numerical example is finally presented to demonstrate the effectiveness of the proposed method.
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页码：50 / 54+59
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