摘要
本文研究了一类在非固定时刻的脉冲微分方程。利用Lyapunov第二方法,建立了零解为稳定,渐近稳定及不稳定的判别准则。结果表明脉冲可能影响甚至改变相应的无脉冲时的微分方程的稳定性。文中还给出一例说明所得主要结果的应用。
This paper establishes some stability criteria for the zero solution of a kind of variable moments impulsive differential equations. It is shown that impulses do affect and even change the stability properties of the corresponding differential system without impulses. The Lyapunov second method is used as a main tool in obtaining the results and an example is given to illustrate the main results.
出处
《系统科学与数学》
CSCD
北大核心
2004年第1期56-63,共8页
Journal of Systems Science and Mathematical Sciences
基金
国家重大基础研究专项经费(G1999032801)资助课题
