Abstract: “This paper treats the chaos synchronization problem of chaotic Lu system via single variable information of the master system. By stability theory of cascade-connection system, the derived controller is featured as follows: (a) only single variable information of the master system is needed to transmit to slave system for synchronization; (b) the pre-knowledge of upper bound of the trajectory of the master system is eliminated; (c) the controller is linear feedback. Finally, the effectiveness of the proposed control law is also illustrated by the numerical simulation on Matlab environment as well as rigorous mathematical proof.”

Keywords: Lu Chaotic System, Single Variable, Chaos Synchronization, Nonlinear Feedback