Impulsive Synchronization of Lorenz Systems by the Lyapunov-Razumikhin Method
Qing Wang, Zhijun Wang

Abstract
This paper studies impulsive synchronization of two Lorenz systems. An impulsive control scheme which considers transmission delay in chaos-based secure communication is presented. Sufficient conditions for the globally exponential stabilization of impulsive synchronization of two Lorenz systems are established by employing the Lyapunov-Razumikhin method. Upper bounds of the length and strength of the impulsive control are presented. Simulation results are discussed to illustrate the theorems.

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