Abstract This paper investigates the global exponential stability of impulsive systems with infinite distributed delay. By introducing two auxiliary functions and two essential lemmas, some sufficient conditions of stability are presented based on flexible impulse frequency, where impulses are considered as perturbations. When the interval between two consecutive impulse times is very small in some time domains, our result just asks that it meets our proposed conditions, which is different from some exist results. The effectiveness of our result is demonstrated through Two simulation examples.

中文翻译：

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基于柔性脉冲频率的无限分布时滞脉冲系统全局指数稳定性

摘要 本文研究了具有无限分布延迟的脉冲系统的全局指数稳定性。通过引入两个辅助函数和两个基本引理，提出了一些基于柔性脉冲频率的稳定性的充分条件，其中脉冲被视为扰动。当在某些时域中两个连续脉冲时间的间隔非常小时，我们的结果只是要求它满足我们提出的条件，这与一些现有的结果不同。我们的结果的有效性通过两个仿真例子来证明。