The Stability Analysis Of Time-Delay Hopfield Neural Networks

This paper studies the stability of neural networks systems with time-delay . According to the character of neural networks model , making use of the lyapunov function , combining with the method of inequality analysis and the method of variations of the parameters , the problem of the existence and unique of the networks equilibrium point and the asympotical stability for Hopfield neural networks equilibrium state and periodic solution is discussed .Then , this paper establishes the condition for the existence and unique of the networks equilibrium point and the stability of solution . At the time , this paper has obtained the region of attraction of solution of time-delay Hopfield neural networks with variable coefficient and the existence condition of periodic solution .