Multi-switching synchronization of chaotic system with adaptive controllers and unknown parameters

摘要

Using adaptive control techniques, we investigate the multi-switching synchronization of chaotic systems with parameters unknown. Based upon the Lyapunov stability theory, we design the controllers and updating laws of different switching, and it is extended to investigate the synchronization problems with different combinations of slave states with master systems. We take the Lorenz system and the Chen system as an example to analyze the multi-switching synchronization process of different structures of chaotic systems. Finally, numerical simulations have shown the effectiveness of the method.