Abstract

This work reviews some important Lyapunov criterion results based on which we address the stability problems of multiple time-delay Takagi-Sugeno (T-S) fuzzy systems. A delay-dependent stability criterion is derived using the fuzzy Lyapunov method that will ensure the asymptotic stability of the multiple time-delay T-S fuzzy systems. Furthermore, the parallel distributed compensation (PDC) scheme is used to achieve a controller design for fuzzy systems. Key words: Lyapunov, critical review, multiple time-delay system, PDC.

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