New Approach of Stability for Time-Delay Takagi-Sugeno Fuzzy System Based on Fuzzy Weighting-Dependent Lyapunov Functionals
Yassine Manai, Mohamed Benrejeb, Pierre Borne
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DOI: 10.4236/am.2011.211187   PDF    HTML     4,356 Downloads   8,132 Views   Citations

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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

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