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In this paper, an adaptive sliding mode controller (SMC) with a parameter update law is developed to realize projective synchronization of the Lorenz system and the Chen system with fully unknown parameters. The projective synchronization includes complete synchronization and anti-phase synchronization. Moreover, it is proven that the proposed adaptive SMC can maintain the existence of sliding mode...
This paper investigates the synchronization of fractional-order chaotic systems via sliding mode control method. A fractional-order sliding surface is proposed and the corrreponding controller is formulated based on the fractional version of the Lyapunov stability theory, which can guarantees asymptotical stability of fractional-order chaotic systems. Finally, simulation results are given to demonstrate...
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