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A new synchronization method,called the input/output-to-state stable synchronization (IOSSS) method,is proposed for a general class of chaotic systems with exteal disturbance.By introducing Lyapunov stability theory and linear matrix inequality (LMI) for the first time,the IOSSS controller is shown to not only guarantee the synchronization of the chaotic systems,but also reduce the effect of exteal disturbance.The proposed IOSSS controller can be obtained by solving the LMI,which can easily be done using standard numerical packages.A numerical example is given to demonstrate the availability of the proposed method.Since Pecora and Carroll[1] presented their pioneering chaos synchronization work in 1990,there has been increasing interest in achieving synchronization based on drive-response configuration.This has been widely explored in a variety of fields,including physical,chemical and ecological systems.[2] In the literature,various synchronization schemes,such as variable structure control,[3] the OGY method,[4] parameteradaptive control,[5,6] observer-based control,[7] active control,[8] the time-delay feedback approach,[9] the backstepping design technique,[10,11] the fuzzy logic approach[12] and passivity-based control[13] have been successfully applied to chaos synchronization.