Journal of South China University of Technology(Natural Science) >

2010 , Vol. 38 >Issue 6: 50 - 54,59

DOI: https://doi.org/10.3969/j.issn.1000-565X.2010.06.010

Electronics, Communication & Automation Technology

Robust Stability of Uncertain Nonlinear Stochastic Systems with Variable Delay

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  • 1.School of Automation Science and Engineering,South China University of Technology,Guangzhou 510640,Guangdong,China;2.School of Science,South China University of Technology,Guangzhou 510640,Guangdong,China
高文华（1974-），女，副教授，博士生，主要从事随机时滞系统的鲁棒控制研究．

Received date: 2009-09-09

  Revised date: 2009-09-28

  Online published: 2010-06-25

Supported by

国家自然科学基金资助项目（60874114）

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Abstract

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.

Key words： stochastic systems; time delay; robust stability; polytopic-type uncertainty; parameter dependence

Cite this article

Gao Wen-hua Deng Fei-qi . Robust Stability of Uncertain Nonlinear Stochastic Systems with Variable Delay[J]. Journal of South China University of Technology(Natural Science), 2010 , 38(6) : 50 -54,59 . DOI: 10.3969/j.issn.1000-565X.2010.06.010

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