Adaptive Reliable Synchronization of a Class of Nonlinear Chaotic Systems

Abstract

Abstract-This paper addresses the reliable synchronization problem for a general class of uncertain chaotic systems with adaptive mechanism. By combining adaptive method and linear matrix inequality (LMI) optimization technique, an adaptive reliable synchronization controller is established to guarantee synchronization between the master chaotic and slave chaotic systems even though actuator failures occur and uncertain nonlinear term exists. Finally, an illustrate example is provided to demonstrate the effectiveness of the results developed in this paper.