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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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Applied Mathematics·Volume 02 (2011)·Pages 1339–1345·Published 30 November 2011·DOI10.4236/am.2011.211187
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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.
KeywordsTakagi-Sugeno Fuzzy ModelsLinear Matrix Inequalities LMIsFuzzy Weighting-Dependent Lyapunov-Krasovskii Functionals
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