Synchronization Control for Unified Chaotic Systems Based on Parameter Adaptive Method

A parameter adaptive control approach is applied. According to Lyapunov stability theorem, synchronization of two unified chaotic systems with the different certain parameters or the same uncertain parameters are implemented through designing proper control functions and using parameters adaptive control principle. The sufficient synchronization conditions of the two unified chaotic systems are obtained. In the condition of same uncertain parameters, the synchronization system has simpler controller and better performance. Numerical simulation shows the effectiveness of the method.