Tracking Control Synchronization and Adaptive Feedback Synchronization of Unified Chaotic Systems

Abstract

This paper mainly investigates synchronization problem of unified chaotic systems, and presents two novel synchronization methods: synchronization of two identical unified chaotic systems based on tracking control, and adaptive feedback synchronization of two different unified chaotic systems with unknown parameter based on the Lyapunov stability theory. A controller is designed in first method. An adaptive feedback controller and a parameter update law are designed in second method. Theoretical analysis and numerical simulations show the effectiveness of these methods.