具有可变脉冲扰动的时滞脉冲微分方程解的稳定性

Stability of the Solution of Impulsive Delay Differential Equations with Variable Impulsive Perturbations

对具有可变脉冲扰动的时滞微分方程 ,引入了指数稳定概念 ,借助于常微分系统稳定性研究的方法 ,研究了这类系统的指数稳定性和渐近稳定性 ,给出了相应的充分条件 .

In this paper, the concept of global exponential stability is introduced for the solution of impulsive delay differential equations with variable impulsive perturbations. The methods of the stability analysis for ordinary differential equations are used to study such system. Some sufficient conditions for asymptotical stability, global exponential stability for such system are presented.