具有联想功能的时滞神经网络的渐近稳定性

Asymptotical Stability of Associative Neural Networks with Time -delays

利用Razumikhin条件和具体的Lyapunov函数 ,讨论了Hopfield模型平衡点的稳定情况 .对两类不同的时滞模型进行的不同的研究 ,得到了时滞相关和时滞无关的条件 :时滞相关条件是当时滞适当小时 ,滞后模型和无滞后模型具有相同的稳定性 ,并给出了滞后界限的估计 ;

By using Razumatic conditions, two general results about stability of analog neural networks with time delays are obtained, and the previously known result is extended. The results include both delays dependent and delays independent. One is that both HNN with time delays and that without time delays have the same property of stability if time is delayed for proper hours, and the other is that the parameters are constrained.