一类参数不确定统一混沌系统的脉冲滞后同步

Impulsive synchronization for unified chaotic systems with channel time-delay and parameter uncertainty

针对一类具有传输信道时间延迟且参数不确定的统一混沌系统,提出了一种脉冲控制同步方法.该方法将两个非自治混沌系统之间脉冲同步的实用稳定性问题转化为同步误差系统在原点的实用稳定性问题,基于脉冲微分方程的相关理论,给出了同步误差系统在原点的实用稳定判据,仿真结果验证了方法的有效性.

In this paper, an impulsive control for synchronization of a class of unified chaotic systems with channel time-delay and parameter uncertainty is proposed. The practical stability of impulsive synchronization between two nonautonomous chaotic systems is studied. This practical stability is equivalent to that of the synchronization error system at the origin. Based on the theory of impulsive differential equation, the criterion for the practical stability of the synchronization error system at the origin is presented. Numerical simulations show the effectiveness of the method.