Impulsive synchronization of Lipschitz chaotic systems

Impulsive method is suitable for digital implementation of secure communication based on chaos synchronization. In the present study, it is assumed that the system satisfies the local Lipschitz condition where a Lipschitz constant is estimated a priori. An impulsive controller is shown to achieve synchronization of chaotic systems in the sense of exponential stability under one restriction relation (criterion). The Duffing two-well and the Rössler systems were simulated to illustrate the theoretical analysis.