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

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DOI: 10.4236/am.2011.211187    3,911 Downloads   7,262 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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