Adaptive synchronization of hyperchaotic Chen systems

Abstract

This study addresses the synchronization of hyperchaotic Chen system. By using only one output, a novel controller with a high gain observer is designed to realize the globally asymptotical stability of the error dynamical system. According to the Lyapunov stability theorem, the asymptotic stability of the close loop system is studied. Numerical simulations and theoretical analysis show that the controller is effective and feasible.