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Abstract <p> In the present article, we consider a model of Hopfield neural network described bya system of neutral type differential equations with several delays. We use the method ofLyapunov–Krasovskiĭ functionals and find conditions on parameters of this model thatguarantee exponential stability of the stationary solution to the system. Under these conditions,we obtain estimates characterizing stabilization rate of solutions at the infinity.</p>

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Systems of Neutral Type Equations and a Model of Hopfield Neural Network

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • M. A. Skvortsova

摘要

Abstract

In the present article, we consider a model of Hopfield neural network described bya system of neutral type differential equations with several delays. We use the method ofLyapunov–Krasovskiĭ functionals and find conditions on parameters of this model thatguarantee exponential stability of the stationary solution to the system. Under these conditions,we obtain estimates characterizing stabilization rate of solutions at the infinity.