Uncertain Lorenz system chaos synchronization using single variable feedback

Abstract

This paper treats the chaos synchronization problem of uncertain Lorenz system via single variable information of the master system. By the Lyapunov stability theory, 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 synchronization also can be achieved even the parameters perturbation are occurred. Finally, the effectiveness of the proposed controller is also illustrated by the numerical simulation on Matlab environment as well as rigorous mathematical proof.