Robustness and stability of pure impulsive synchronization with parametric uncertainties and mismatch

Impulsive control of a chaotic system has a great potential for applications in various fields. Therefore, the robustness and stability of impulsive synchronization is very important. In this paper, we introduce a new method for analyzing the robustness and stability of impulsive synchronization with parametric uncertainties and mismatch. By analyzing the oscillation process of the error between two chaotic systems, we establish a quantitative relationship between the prescribed synchronization threshold, the length of impulse interval, the bounds of uncertainties and mismatch and the impulse intensity. Numerical simulation results based on Chen system and Chua system are provided.