Qualitative analysis of Hopfield neural nets with delays: Global and local results
Hui Ye, Anthony N. MICHEL, K. Wang · 2002
It is well known that Hopfield neural networks without delays exhibit no oscillations and possess global stability (i.e., all trajectories tend to some equilibrium). In the present paper we show that if the bound /spl tau//spl beta//spl par/T/sub 2//spl par/0, interconnection matrix T/sub 2/ associated with delays, and gain of the neurons given by /spl beta/, will exhibit similar qualitative properties as the original Hopfield neural network without delays (/spl par/T/sub 2//spl par/ denotes the matrix norm induced by the Euclidean vector norm).