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Simple Algebraic Criteria for Asymptotic Stability of a Class of TS Fuzzy Time-Delay Switched Systems

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  • Nawel Aoun
  • Marwen Kermani
  • Anis Sakly

Abstract

This paper investigates the asymptotic stability of a class of TS fuzzy switched systems when an arbitrary switching strategy is adopted. The proposed method, applied to neutral and retarded-type systems, is based on the vector-norms approach. The idea consists in defining a common comparison system to all the fuzzy models. If this comparison system can be described by a state matrix that fulfills the properties of the opposite of an M-matrix, then we can conclude on the asymptotic stability of the initial system via simple algebraic delay-independent conditions.

Suggested Citation

  • Nawel Aoun & Marwen Kermani & Anis Sakly, 2018. "Simple Algebraic Criteria for Asymptotic Stability of a Class of TS Fuzzy Time-Delay Switched Systems," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-13, July.
    • Handle: RePEc:hin:jnlmpe:1265359
    DOI: 10.1155/2018/1265359
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