具有S-型分布时滞的Hopfield神经网络模型的渐近行为(英文)

Asymptotic Behaviour of Hopfield Neural Networks with S-type Distributed Delays

研究了具有S 型分布时滞的Hopfield神经网络模型的渐近行为,得到了平衡点的存在唯一性及全局渐近稳定性的判据,所得结果不仅包含了已有的相应结果,而且具有更广泛的适用性.

The aim of this paper is to show the global asymptotic stability for Hopfield neural networks with S-type distrbuted delays. A sufficient condition for the existence of an unique equilibrium and its global asymptotic stability are obtained. This condition is established without the boundedness and differentiability of the nonlinear terms. The approach used in the paper is the theory of topological degree and the inequality technique.