具有时滞的双向联想记忆神经网络的定性分析

文中通过经入一个关键性条件研究了具有时滞的双向联想记忆神经的定性性质。这一关键性条件关联了网络双向的联结权系数。在这一条件下，证明了网络存在唯一的平衡态，并且这一平衡态是全局指数稳定的。当网络的外部输入具有周期性时，利用上述条件证明了网络存在全局平稳振荡。

QUALITATIVE ANALYSIS OF BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DELAYS

The qualitative properties of bidirectional associative memory neural networks with delays are studied by introducing a key condition. The key condition connects the bidirectonnal connection weights of the networks, so it could be easy for applications. Under the key condition, it is proved that each of the networks has a unique equilibrium and this equilibrium is globally exponentially stable. If the outer input is periodic, then each of the networks has a unique periodic solution and all other solutions of the network converge exponentially to this periodic solution.