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This paper deals with the stability analysis of a class of T-S fuzzy systems. Based on the piecewise fuzzy Lyapunov function, an adaptive optimal fuzzy control design method for stabilization of T-S fuzzy system is derived. This method reduces the conservatism of both piecewise Lyapunov function and fuzzy Lyapunov function. The stability condition obtained is more relaxed and the control system has good performance. The efficiency of the method is illustrated through the simulation of some numerical examples.