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New approach on robust stability for uncertain T–S fuzzy systems with state and input delays

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  • Li, Li
  • Liu, Xiaodong

Abstract

This paper proposes an approach for robust delay-dependent stability of a class of uncertain fuzzy systems with state and control input delays. The key features of the approach include a kind of Lyapunov–Krasovskii functional and a descriptor model transformation with a recent result on bounding of cross products of vectors. Unlike existing methodologies, the proposed approach does not involve free weighting matrices. It can, however, lead to much less conservative stability criteria than the existing ones for the systems under consideration. Numerical examples show that the proposed criteria improve the existing results significantly with much less computational effort.

Suggested Citation

  • Li, Li & Liu, Xiaodong, 2009. "New approach on robust stability for uncertain T–S fuzzy systems with state and input delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2329-2339.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2329-2339
    DOI: 10.1016/j.chaos.2007.10.026
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    1. Lien, Chang-Hua & Yu, Ker-Wei, 2008. "Robust control for Takagi–Sugeno fuzzy systems with time-varying state and input delays," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 1003-1008.
    2. El Naschie, M.S., 2006. "On two new fuzzy Kähler manifolds, Klein modular space and ’t Hooft holographic principles," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 876-881.
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    Cited by:

    1. Zhang, Xiaohong & Khadra, Anmar & Yang, Dan & Li, Dong, 2009. "Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1559-1566.

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