Adaptive Anti-synchronization of Cai Chaotic Systems with Fully Unknown Parameters

This paper investigates the anti-synchronization problem of a class of novel chaotic systems with fully unknown parameters based on the adaptive control method. By virtue of the definition of anti-synchronization error signal as the sum of state signals of the drive system and the response system to be synchronized, the synchronization error system is derived. Then, a simple adaptive state feedback controller with proper parametric adaptive law is designed to stabilize the synchronization error system based on the Lyapunov stability theory. Finally, an illustrative example is presented to show the effectiveness of the proposed method.