Stability Analysis of Continuous Hopfield Neural Networks with Delay

In this paper, by constructing a new Lyapunov functional, problem of the global asymptotic stability is discussed for the continuous Hopfield neural networks with delays. A simple and new sufficient condition is obtained ensuring existence, uniqueness of the equilibrium point and its global asymptotic stability of the neural networks. This condition can be used to design globally asymptotic stable networks and thus have important significance in both theory and applications.