This paper concentrates on the exponential synchronization problem of the delayed neural networks (DNNs) with stochastic impulses. First, the impulsive Halanay differential inequality is further extended to the case that the impulsive strengths are random variables. Then, based on the generalized inequalities, synchronization criteria are respectively proposed for DNNs with two kinds of stochastic impulses, i.e., impulses with independent property/Markovian property. It should be pointed out that only some basic statistical characteristics are needed to verify the proposed criteria. Numerical examples are provided to show the validation of the obtained theoretical results at the end of this paper.

本文关注具有随机脉冲的时滞神经网络（DNN）的指数同步问题。首先，将脉冲Halanay微分不等式进一步扩展到脉冲强度是随机变量的情况。然后，基于广义不等式，分别提出了具有两种随机脉冲即具有独立性质/马尔可夫性质的脉冲的DNN的同步准则。应该指出的是，只需要一些基本的统计特征就可以验证所提出的标准。数值算例表明本文所获得的理论结果是正确的。