Synchronization Control of Liu Chaotic Systems

Based on the stability theory,two different synchronization methods are put forward for Liu chaotic systems.The first method is a combined synchronization method,the character of this method is that linear and nonlinear feedback functions are designed in the coupled chaotic system at the same time.The second method is a H∞self-adaptive synchronization controller under the ideal of the H∞self-adaptive synchronization control.Both methods are correct from theoretic analysis,from the simulation analysis of the error system between driving and coupled system,the graph of the absolute value of the summary of the errors can show that errors will become zero in short time,experiment results demonstrate the effectiveness of two methods.