常微分系统的脉冲镇定

Impulsive Stabilization of Ordinary Differential Systems

本文考察了较一般形式的常微分系统的脉冲镇定问题,借助Lyapunov方法得到了该系统可脉冲指数镇定的充分判据,并给出了脉冲控制函数的具体算法．全文突出了脉冲在方程稳定性方面的控制效果,所得结果推广、改进了已有的相关结论．

This paper considers the impulsive stabilization for ordinary differential systems. By the method of Lyapunov functions, a criterion on the exponential stabilization by impulses is obtained. The control effect by impulses is stressed in the the definitions and result, and the result presented in this paper extends and improves the previously known results.