Global asymptotic stability of a general class of Hopfield neural networks with time-varying delays

Chaojin Fu, Dahu Li, Shuping Chen
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Abstract

In this paper, we address the problem of a unique equilibrium point and present global asymptotic stability for Hopfield neural networks with time-varying delays. By constructing a Lyapunov functional, a new stability criterion for the network is established in terms of differential inequality technique. Finally, an illustrative numerical example is included to show the effectiveness of proposed criterion.
一类具有时变时滞的Hopfield神经网络的全局渐近稳定性
本文研究了具有时变时滞的Hopfield神经网络的唯一平衡点问题,并给出了全局渐近稳定性。通过构造Lyapunov泛函,利用微分不等式技术建立了一个新的网络稳定性判据。最后,通过一个算例说明了所提准则的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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