ABSTRACT

In this paper, global asymptotic stability for a class of discrete-time Cohen-Grossberg Neural Networks with finite and infinite delays is investigated. By combining graph theoretic approach with Homeomorphism concept as well as Lyapunov functional method, two new sufficient conditions ensuring the global asymptotic stability of equilibrium point for above neural networks are established. Combining graph theoretic approach with Homeomorphism concept studies the equilibrium point of neural networks is a novel approach.

中文翻译：

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图论方法与同胚概念相结合的时滞离散时间Cohen-Grossberg神经网络的全局渐近稳定性

摘要

在本文中，研究了一类具有有限和无限延迟的离散时间 Cohen-Grossberg 神经网络的全局渐近稳定性。通过将图论方法与同胚概念以及Lyapunov泛函方法相结合，建立了两个新的保证上述神经网络平衡点全局渐近稳定性的充分条件。将图论方法与同胚概念相结合研究神经网络的平衡点是一种新颖的方法。