Stability Analysis of Discrete Hopfield Neural Networks with Weighted Function Matrix and Delay

In this paper, discrete Hopfield neural networks with weight function matrix (DHNNWFM) and discrete Hopfield neural networks with weight function matrix and delay (DHNNWFMD) are introduced. And the stability properties of DHNNWFMD that weight function matrix is a symmetric function matrix are studied. And we obtain a important result that If the weight function matrix is a symmetric function matrix and delayed matrix is a column diagonally dominant matrix, DHNNWFMD will converge to a state in serial mode. It provides some theory basis for the application of DHNNWFMD.