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New approach of stabilization for time-delay continuous Takagi-Sugeno fuzzy system

This paper deals with stabilization of continuous Takagi-Sugeno (T-S) fuzzy models with time-delay based on a Parallel Distributed Compensation (PDC) controller design. Using fuzzy weighting-dependent Lyapunov-Krasovskii functionals, new sufficient stabilization criteria are established in terms of Linear Matrix Inequality; hence the stability bound of upper bound delay time can be easily estimated. Finally, numeric simulation is given to validate the developed approach.