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Generalized synchronization control of discrete-time chaotic systems

A systematic and concrete scheme is proposed to study generalized synchronization control of discrete-time chaotic systems based on the active control idea and the backstepping design method. The scheme is accessible to generalized synchronization control of two identical chaotic maps. The 3D discrete-time Grassi-Miller map and 3D generalized Hénon map are chosen to illustrate the proposed scheme, and numerical simulations are given to show the effectiveness of the proposed chaos synchronization method.