This paper discusses the global exponential stability for a class of hybrid non-autonomous neural networks (HNNNs) with Markovian switching, which includes the factors of time delays and impulse disturbance. A novel Halanay inequality with cross terms is established by using stochastic analysis technique. Some sufficiency criteria for the global exponential stability of the HNNNs with Markovian switching are derived by the Halanay inequality and some mathematical analysis methods. The results obtained have better fault tolerance and redundancy under certain accuracy than the existing results in the literature. Finally, numerical experiments are provided to illustrate our theoretical results.

中文翻译：

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马尔可夫切换的混合非自治神经网络的全局指数稳定性

本文讨论了一类具有马尔可夫切换的混合非自治神经网络（HNNNs）的全局指数稳定性，其中包括时间延迟和脉冲干扰因素。利用随机分析技术建立了具有交叉项的新型Halanay不等式。利用Halanay不等式和一些数学分析方法，推导了具有马尔可夫切换的HNNNs全局指数稳定性的一些充分性准则。获得的结果在一定的精度下比文献中的现有结果具有更好的容错性和冗余性。最后，通过数值实验来说明我们的理论结果。