Delay-dependent global stability results for delayed Hopfield neural networks

In this paper, by utilizing Lyapunov functional method and the linear matrix inequality approach, we analyze the global asymptotic stability of Hopfield neural networks with time delays. A new sufficient condition ensuring global asymptotic stability of the unique equilibrium point of delayed Hopfield neural networks is obtained. The result is related to the size of delays. A numerical example is given to illustrate the efficiency of our result.