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讨论非线性连续联想记忆神经网络平衡点局部指数稳定的判定条件及平衡点指数吸引域的估计，得到了平衡点局部指数稳定的充要条件，并引入一个特征函数，可以判定平衡点的邻域是否为指数吸引域．文中给出一族范数下（所有单调范数）网络局部或全局指数稳定的判定条件，推广了已知文献在特定范数下所得到的结论．
The conditions for determining the local exponential stability of the equilibrium point of a nonlinear continuous associative memory neural network and the estimation of the attracting region of the equilibrium point index are discussed. The sufficient and necessary conditions for the local exponential stability of the equilibrium point are obtained and a characteristic function is introduced to determine the neighborhood of the equilibrium point Whether to attract the domain index. In this paper, we give the conditions for the local or global exponential stability of a family of networks (all monotonic norm) under a family of norm, and generalize the conclusions of the known literature under a certain norm.