连续双向联想记忆模型的稳定性分析

Equilibrium Analysis of Continuous Bidirectional Associative Memory

对于连续型Ｈｏｐｆｉｅｌｄ模型的平衡态特征，目前人们已经得到了很多富有意义的成果，本文说明，连续Ｈｏｐｆｉｅｌｄ模型的大部分结论都可以推广到连续双向联想记忆（ＢＡＭ）模型，我们重点讨论了平衡态条件、渐近稳定性以及围绕一稳定平衡点的吸引域等问题，所得到的结论对于ＢＡＭ的设计和应用都是很有意义的。

So far many fruitful results have been obtained for equilibrium characterization of the continuous Hopfield model.In this paper we show that most of them can be extended to the Bidirectional Associative Memory(BAM) model through a special arrangement of its connection weights.Stressed issues are equilibrium conditions,asymptotic stability and regions of attraction of stable equilibrium points,which have important significance in the design of BAM.