Impulsive synchronization of chaotic systems subject to time delay Original Research Article

This paper studies synchronization of coupled chaotic systems with time delay by means of impulsive control. Some criteria on synchronization of such chaotic systems are established utilizing quadratic Lyapunov functions and differential inequalities in the spirit of the well-known Razumikhin technique. Those criteria may be applied to chaos-based secure communication systems with transmission delay, where a driving system and a response system are employed. Simulation results are given to demonstrate the analytical results.