Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay

Abstract

This paper proposes a nonlinear feedback control method to realize global exponential synchronization with channel time-delay between the Lü system and Chen system, which are regarded as the drive system and the response system respectively. Some effective observers are produced to identify the unknown parameters of the Lü system. Based on the Lyapunov stability theory and linear matrix inequality technique, some sufficient conditions of global exponential synchronization of the two chaotic systems are derived. Simulation results show the effectiveness and feasibility of the proposed controller.