A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality

A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality

In this paper, we study the problem of exponential stability for the Hopfield neural network with time-varying delays. Different from the existing results, we establish new stability criteria by employing the method of variation of constants and Gronwall’s integral inequality. Finally, we give sever...

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Main Authors: Faming Guo, Ricai Luo, Xiaolan Qin, Yunfei Yi
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Computational Intelligence and Neuroscience
Online Access:http://dx.doi.org/10.1155/2021/4713450
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spelling doaj-362de700f0e349e0b42009050872f8722021-09-27T00:52:19ZengHindawi LimitedComputational Intelligence and Neuroscience1687-52732021-01-01202110.1155/2021/4713450A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s InequalityFaming Guo0Ricai Luo1Xiaolan Qin2Yunfei Yi3Department of Mathematics and PhysicsDepartment of Mathematics and PhysicsDepartment of Mathematics and PhysicsDepartment of Computer and Information EngineeringIn this paper, we study the problem of exponential stability for the Hopfield neural network with time-varying delays. Different from the existing results, we establish new stability criteria by employing the method of variation of constants and Gronwall’s integral inequality. Finally, we give several examples to show the effectiveness and applicability of the obtained criterion.http://dx.doi.org/10.1155/2021/4713450
collection DOAJ
language English
format Article
sources DOAJ
author Faming Guo
Ricai Luo
Xiaolan Qin
Yunfei Yi
spellingShingle Faming Guo
Ricai Luo
Xiaolan Qin
Yunfei Yi
A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality
Computational Intelligence and Neuroscience
author_facet Faming Guo
Ricai Luo
Xiaolan Qin
Yunfei Yi
author_sort Faming Guo
title A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality
title_short A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality
title_full A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality
title_fullStr A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality
title_full_unstemmed A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall’s Inequality
title_sort new criterion for exponential stability of a class of hopfield neural network with time-varying delay based on gronwall’s inequality
publisher Hindawi Limited
series Computational Intelligence and Neuroscience
issn 1687-5273
publishDate 2021-01-01
description In this paper, we study the problem of exponential stability for the Hopfield neural network with time-varying delays. Different from the existing results, we establish new stability criteria by employing the method of variation of constants and Gronwall’s integral inequality. Finally, we give several examples to show the effectiveness and applicability of the obtained criterion.
url http://dx.doi.org/10.1155/2021/4713450
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