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A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality
Computational Intelligence and Neuroscience ( IF 3.120 ) Pub Date : 2021-09-13 , DOI: 10.1155/2021/4713450
Faming Guo 1 , Ricai Luo 1 , Xiaolan Qin 1, 2 , Yunfei Yi 3
Affiliation  

In this paper, we study the problem of exponential stability for the Hopfield neural network with time-varying delays. Different from the existing results, we establish new stability criteria by employing the method of variation of constants and Gronwall’s integral inequality. Finally, we give several examples to show the effectiveness and applicability of the obtained criterion.

中文翻译:

基于Gronwall不等式的一类时变时滞Hopfield神经网络指数稳定性的新判据

在本文中,我们研究了具有时变延迟的 Hopfield 神经网络的指数稳定性问题。与现有结果不同,我们采用常数变分法和 Gronwall 积分不等式建立了新的稳定性判据。最后,我们给出了几个例子来说明所得到的准则的有效性和适用性。
更新日期:2021-09-13
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