中文摘要：

对具有时滞的二阶Hopfield型神经网络平衡点的全局渐近稳定性问题进行了研究．在不要求连接权矩阵的对称性和输入输出函数的可微性与单调性，只要求系统的参数满足是一个M矩阵的情况下，利用推广的Hanalay不等式和上右导数导得系统全局指数稳定性的若干充分条件．为二阶时滞神经网络稳定性的新方法、新结论．

英文摘要：

Based on the extended Hanalay＇s inequality and the upper-right derivative, the global exponential stability for the second order Hopfield neural networks with time delays was investigated. Under the conditions that the parameter of the systems was a M-matrix, the sufficient conditions of the global exponential stability for the second order Hopfield neural networks with time delays was obtained.