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New Delay-Dependent Stability Criteria for Stochastic TS Fuzzy Systems with Time-Varying Delays

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Control, Computation and Information Systems (ICLICC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 140))

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Abstract

The problem of asymptotic stability analysis for a class of stochastic Takagi-Sugeno fuzzy systems with time varying delays is investigated. By employing improved free weighting matrix approach and Lyapunov stability theory, new set of sufficient conditions are derived in terms of linear matrix inequalities which ensure the asymptotic stability of the considered stochastic fuzzy system with time varying delays. Further the result is extended to the delay independent that is, for constant time delay case. Finally, a numerical example is provided to illustrate the effectiveness of the proposed results.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Anna University of Technology Coimbatore, Coimbatore, 641 047, India

    Mathiyalagan Kalidass

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  1. Mathiyalagan Kalidass
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Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

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Kalidass, M. (2011). New Delay-Dependent Stability Criteria for Stochastic TS Fuzzy Systems with Time-Varying Delays. In: Balasubramaniam, P. (eds) Control, Computation and Information Systems. ICLICC 2011. Communications in Computer and Information Science, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19263-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-19263-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19262-3

  • Online ISBN: 978-3-642-19263-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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