Lu system chaos synchronization using single variable feedback

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.