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Choice of conjunctive operator of TSK fuzzy systems and stability domain study

Author

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  • Benrejeb, Mohamed
  • Sakly, Anis
  • Othman, Kamel Ben
  • Borne, Pierre

Abstract

This paper deals with the impact study of the choice of conjunctive operator between input variables of TSK fuzzy models, t-norm, on stability domain estimation. The approach is based on stability conditions issued from vector norms corresponding to a vector-Lyapunov function. In particular, for considered second-order TSK models we show that Zadeh's t-norm, logic product min, gives the largest estimation of stability domain.

Suggested Citation

  • Benrejeb, Mohamed & Sakly, Anis & Othman, Kamel Ben & Borne, Pierre, 2008. "Choice of conjunctive operator of TSK fuzzy systems and stability domain study," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(5), pages 410-421.
    • Handle: RePEc:eee:matcom:v:76:y:2008:i:5:p:410-421
    DOI: 10.1016/j.matcom.2007.04.003
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    Cited by:

    1. S. Elmadssia & K. Saadaoui & M. Benrejeb, 2016. "New stability conditions for nonlinear time varying delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2009-2021, July.

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