Author(s)

Yassine Manai, Mohamed Benrejeb, Pierre Borne

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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.

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

Y. Manai, M. Benrejeb and P. Borne, "New Approach of Stability for Time-Delay Takagi-Sugeno Fuzzy System Based on Fuzzy Weighting-Dependent Lyapunov Functionals," Applied Mathematics, Vol. 2 No. 11, 2011, pp. 1339-1345. doi: 10.4236/am.2011.211187.