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研究Ｈｏｐｆｉｅｌｄ连续联想记忆神经网络平衡点的局部指数稳定性，给出了Ｈｏｐｆｉｅｌｄ连续联想记忆神经网络的平衡点局部指数稳定的充要条件．通过引入特征函数的方法，得到了各记忆模式的指数吸引域的估计，以此可用来评价Ｈｏｐｆｉｅｌｄ连续反馈联想记忆的容错能力和模式恢复能力，且可用于综合更为实用的连续联想记忆神经网络．
The local exponential stability of the Hopfield continuous associative memory neural network is studied. The sufficient and necessary conditions for the local exponential stability of the Hopfield continuous associative memory neural network are given. By introducing the eigenfunction, we get the estimate of exponential attracting domain of each memory mode, which can be used to evaluate the fault tolerance and mode recovery ability of Hopfield continuous feedback associative memory, and can be used to synthesize the more practical continuous associative memory neural network .