Sufficient and necessary conditions for global attractivity and stability of a class of discrete Hopfield-type neural networks with time delays.
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Sufficient and necessary conditions for global attractivity and stability of a class of discrete Hopfield-type neural networks with time delays.

Hong, Yan Jie;Ma, Wan Biao;
mathematical biosciences and engineering : mbe 2019 Vol. 16 pp. 4936-4946
245
hong2019sufficientmathematical

Abstract

In this paper, a class of discrete Hopfield-type neural networks with time delays is consid-ered. Sufficient and necessary conditions for global attractivity and stability of the equilibrium of the discrete Hopfield-type neural networks are given by using a class of n-dimensional nonlinear algebraic equations and M-matrix theory.

Keywords

Difference equation stability time delays hopfield neural networks global attractivity

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DOI:
10.3934/mbe.2019249

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ID: 90806
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