Abstract This paper investigates the stability of nonlinear variable-time impulsive differential systems with delayed impulses. By using the comparison principle, the Lyapunov method and inequality techniques, some sufficient conditions for quasi-uniformly asymptotic stability and quasi-exponential stability of a given solution of variable-time impulsive differential systems with delayed impulses are established.

中文翻译：

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具有延迟脉冲的非线性可变时间脉冲微分系统的稳定性

摘要 本文研究了具有延迟脉冲的非线性可变时间脉冲微分系统的稳定性。利用比较原理、李雅普诺夫方法和不等式技术，建立了具有延迟脉冲的变时间脉冲微分系统给定解的准一致渐近稳定性和准指数稳定性的一些充分条件。