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.