Dynamical behaviors of a class of second order Hopfield neural networks with time delays is investigated.The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem and the counter proof method,and some sufficient conditions for the global asymptotic stability of the equilibrium point are obtained through the combination of a suitable Lyapunov function and an algebraic inequality technique.
关键词
Hopfield神经网络/Lyapunov函数/存在性与唯一性/全局渐近稳定性
Key words
Hopfield neural network/Lyapunov function/existence and uniqueness/global asymptotic stability