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Stabilization of Two-Dimensional T–S Fuzzy Systems

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Advanced Takagi‒Sugeno Fuzzy Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 8))

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Abstract

This chapter deals with sufficient conditions of asymptotic stability for nonlinear discrete-time 2D systems represented by a Takagi-Sugeno fuzzy model of Roesser type with state feedback control. This work is based on common and multiple Lyapunov functions. The results are presented in the form of LMIs.

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Author information

Authors and Affiliations

  1. Department of Physics, University of Cadi Ayyad, Marrakech, Morocco

    Abdellah Benzaouia

  2. Laboratoire de Modélisation, Information et Systèmes, Université de Picardie Jules Verne, Amiens, France

    Ahmed El Hajjaji

Authors
  1. Abdellah Benzaouia
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  2. Ahmed El Hajjaji
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Corresponding author

Correspondence to Abdellah Benzaouia .

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Benzaouia, A., El Hajjaji, A. (2014). Stabilization of Two-Dimensional T–S Fuzzy Systems. In: Advanced Takagi‒Sugeno Fuzzy Systems. Studies in Systems, Decision and Control, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-05639-5_9

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  • DOI: https://doi.org/10.1007/978-3-319-05639-5_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05638-8

  • Online ISBN: 978-3-319-05639-5

  • eBook Packages: EngineeringEngineering (R0)

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