Adaptive synchronization of a class of chaotic systems with uncertain parameters

Abstract

A novel adaptive synchronization method is proposed for a class of chaotic systems with uncertain parameters based on Lyapunov stability theory. Adaptive controller and updating law of parameters are obtained， and for specific error systems the controller can be simplified. This method is simple and systemic. A new chaotic system and the hyperchaotic Chen system are taken as examples to illustrate the effectiveness of the proposed method. Numerical simulation illustrates the feasibility of the technique.