Global Asymptotic Stability ,global Attractivity And Global Exponential Stability For Delayed Hopfield Neural Network Models

In this paper,we obtain the global asymptotic stability,the global attractivity and the global exponential stability for delayed Hopfield neural net-work models with the Lipschitzian continuous nonlinear active functions.Some sufficient conditions are developed by constructing suitable Lyaponuv function use the Dini derivative and the generalized Halanay delayed differential inequal-ity,the inequality mabm-1≤am+(m-1)bm,(a,b>0,m≥1).These results generalize ones in reference.