In this paper, the stability and stabilization issues for a class of delayed neural networks with time-varying hybrid impulses are investigated. The hybrid effect of two types of impulses including both stabilizing and destabilizing impulses is considered simultaneously in the analysis of systems. To characterize the occurrence features of impulses, the concepts of average impulse interval and average impulse strength are employed. Based on the analysis of stability, a pinning impulsive controller which can ensure the global exponential stability of the studied neural networks is designed by pinning a small fraction of neurons. Finally, two numerical examples are given to illustrate the effectiveness of the proposed control schemes for delayed neural networks with hybrid impulses.

中文翻译：

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具有混合脉冲的时滞神经网络的稳定性和稳定性

本文研究了一类时变混合脉冲时滞神经网络的稳定性和稳定性问题。在系统分析中同时考虑了包括稳定和不稳定的两种脉冲的混合效应。为了表征脉冲的出现特征，采用了平均脉冲间隔和平均脉冲强度的概念。在稳定性分析的基础上，通过固定一小部分神经元，设计了一种可以确保所研究的神经网络的全局指数稳定性的固定脉冲控制器。最后，给出了两个数值例子来说明所提出的控制策略对带有混合脉冲的时滞神经网络的有效性。