具有时滞的高阶Hopfield型神经网络的稳定性

Stability of Higher-Order Hopfield Type Neural Networks with Time Delays

通过Lyapunov泛函的方法,对具有时滞的高阶连续型Hopfield神经网络平衡点的稳定性进行分析,利用Razumikhin定理得到了平衡点全局一致渐近稳定的时滞相关与时滞无关充分条件.

The stability of the equilibrium point for a class of higher-order Hopfield type neural networks with time delays is analyzed using Lyapunov functional method. Razumikhin theorem is employed to derive the sufficient delay-dependent and delay-independent conditions respectively for the global uniform asymptotic stability of the equilibrium point of such neural networks.