StabilityAnalysis of a Class of Hopfield Neural Networks under Thresholds

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.