Backstepping-Based Synchronization Control of Cross-Strict Feedback Hyper-Chaotic Systems

A certain backstepping control is proposed for synchronization of a class of hyper-chaotic systems. Only two control inputs are used to realize synchronization between hyper-chaotic systems, and the control avoids the possible singularity in the virtual control design. In addition, the adaptive backstepping control is proposed for the synchronization when the system parameters are unknown. The proposed methods can be applied to a variety of chaos systems which can be described by the so-called cross-strict feedback form. Numerical simulations are given to demonstrate the efficiency of the proposed control schemes.