Abstract
The discrete Hopfield neural networks is a famous networks with a wide range applications. The discrete delayed Hopfield neural networks are an extension of the discrete Hopfield neural networks. The stability of the networks is known to be bases of successful applications of the networks. In this paper, the stability of the discrete delayed Hopfield neural networks is mainly investigated in serial updating mode. Several new sufficient conditions for the discrete delayed Hopfield neural networks converging towards a stable state are obtained. The obtained results here generalize the existing results on stability of both discrete Hopfield neural networks without delay and with delay in serial updating mode.
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