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Y. Y. Cao and P. M. Frank, “Stability Analysis and Synthesis of Nonlinear Time-Delay Systems via Takagi- Sugeno Fuzzy Models,” Fuzzy Sets and Systems, Vol. 124 No. 2, 2001, pp. 213-229. doi:10.1016/S0165-0114(00)00120-2

has been cited by the following article:

• TITLE: New Approach of Stability for Time-Delay Takagi-Sugeno Fuzzy System Based on Fuzzy Weighting-Dependent Lyapunov Functionals

  AUTHORS: Yassine Manai, Mohamed Benrejeb, Pierre Borne

  KEYWORDS: Takagi-Sugeno Fuzzy Models, Linear Matrix Inequalities LMIs, Fuzzy Weighting-Dependent Lyapunov-Krasovskii Functionals

  JOURNAL NAME: Applied Mathematics, Vol.2 No.11, November 30, 2011

  ABSTRACT: This paper deals with the stability of Takagi-Sugeno fuzzy models with time delay. Using fuzzy weighting- dependent Lyapunov-Krasovskii functionals, new sufficient stability criteria are established in terms of Linear Matrix Inequality; hence the stability bound of upper bound delay time can be easily estimated. Finally, numeric simulations are given to validate the developed approach.