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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

  • Received: 19 January 2019 Accepted: 05 May 2019 Published: 30 May 2019
  • In this paper, a class of discrete Hopfield-type neural networks with time delays is considered. 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.

    Citation: Yanjie Hong, Wanbiao Ma. Sufficient and necessary conditions for global attractivity and stability of a class of discrete Hopfield-type neural networks with time delays[J]. Mathematical Biosciences and Engineering, 2019, 16(5): 4936-4946. doi: 10.3934/mbe.2019249

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  • In this paper, a class of discrete Hopfield-type neural networks with time delays is considered. 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.
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    © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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