基于图论的离散Hopfield网络稳定性研究

The Stability Study of Discrete Hopfield Networks Based on Graph Theory

以图论为工具 ,主要对连接权矩阵为对角分块形式的离散Hopfield神经网络的稳定性进行了研究。通过构造网络状态图证明了它的稳定性完全可由对角块为连接权矩阵的Hopfield网络的稳定性来确定 。

With the aid of graph theory, the stability of discrete Hopfield neural networks with diagonal block matrix of the connection weight matrix is mainly studied in this paper. By constructing state graph of the networks, it is proved that the stability is fully determined by the stability of discrete Hopfield networks with the diagonal block as the connection weight matrix. In addition, several results are given.