一类带有阈的Hopfield神经网络模型的稳定性分析

StabilityAnalysis of a Class of Hopfield Neural Networks under Thresholds

讨论了一类带有动力阈值及分布时滞的单神经元Hopfield神经网络的全局稳定性,利用同胚映射得到了平衡点存在唯一的充分条件,利用不等式技巧和常数变易法,获得了平衡点全局渐近稳定的充分条件,利用Lyapunov函数得到了该平衡点全局指数稳定的充分条件.

In this paper, we consider global stability of a neuron Hopfield neural networks with distributed delays under thresholds. For a neuron Hopfield neural networks, by using honeomorphic maps, we obtain some sufficient conditions which ensuring the existence and uniqueness of the equilibrium point; by using the technique of inequality and the method of the altering of constant, we obtain some sufficient conditions which ensuring the global asymptotic stability of the equilibrium point; by using Lyapunov functions, we obtain some sufficient conditions which ensuring the global exponential stability of the equilibrium point.