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Delay-dependent robust stability of stochastic delay systems with Markovian switching

Huang, L. and Mao, X. and Deng, F. (2009) Delay-dependent robust stability of stochastic delay systems with Markovian switching. Journal of Control Theory and Applications, 7 (4). pp. 367-372. ISSN 1672-6340

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Abstract

In recent years, stability of hybrid stochastic delay systems, one of the important issues in the study of stochastic systems, has received considerable attention. However, the existing results do not deal with the structure of the diffusion but estimate its upper bound, which induces conservatism. This paper studies delay-dependent robust stability of hybrid stochastic delay systems. A delay-dependent criterion for robust exponential stability of hybrid stochastic delay systems is presented in terms of linear matrix inequalities (LMIs), which exploits the structure of the diffusion. Numerical examples are given to verify the effectiveness and less conservativeness of the proposed method.

Item type: Article
ID code: 16872
Keywords: stochastic systems, time delay, markovian switching, delay-dependent stability, Mathematics, Hardware and Architecture, Control and Systems Engineering, Computer Science Applications
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Mrs Carolynne Westwood
Date Deposited: 22 Mar 2010 11:23
Last modified: 17 Jun 2015 18:09
URI: http://strathprints.strath.ac.uk/id/eprint/16872

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