Synchronization of a class of fractional-order chaotic systems via adaptive sliding mode control

This paper investigates the synchronization of a class of fractional-order chaotic systems via adaptive sliding mode control method. A fractional-order sliding surface is proposed and the corresponding controller with the adaptive laws is formulated based on the fractional version of the Lyapunov stability theory, which can guarantees asymptotical stability of fractional-order chaotic systems. Finally, some simulation results are given to demonstrate the effectiveness of the proposed adaptive sliding mode control method.