Convergence Study of Discrete Neural Networks with Delay

Abstract

The convergence of discrete Hopfield neural networks with delay is mainly investigated and some results on the convergence are given. Several new sufficient conditions for the networks with delay converging towards a limit cycle with length at most 2 are obtained. Also, several conditions for the networks with delay converging towards a limit cycle with length 2 are investigated. All results established here extend the previous results on the convergence of both discrete Hopfield neural networks without delay and with delay in parallel updating mode.