Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

In this paper, we investigate the global exponential stability and periodicity of nonautonomous cellular neural networks with reaction-diffusion, impulses, and time-varying delays. By establishing a new differential inequality for nonautonomous systems, using the properties of M-matrix and inequalit...

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Main Authors: Weiyi Hu, Kelin Li
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/3495545
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spelling doaj-1ef9ed44070c4934b0ca5ef2cfe10da52021-08-30T00:00:22ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/3495545Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion TermsWeiyi Hu0Kelin Li1School of Mathematics and StatisticsSchool of Mathematics and StatisticsIn this paper, we investigate the global exponential stability and periodicity of nonautonomous cellular neural networks with reaction-diffusion, impulses, and time-varying delays. By establishing a new differential inequality for nonautonomous systems, using the properties of M-matrix and inequality techniques, some new sufficient conditions for the global exponential stability of the system are obtained. Moreover, sufficient conditions for the periodic solutions of the system are obtained by using the Poincare mapping and the fixed point theory. The validity and superiority of the main results are verified by numerical examples and simulations.http://dx.doi.org/10.1155/2021/3495545
collection DOAJ
language English
format Article
sources DOAJ
author Weiyi Hu
Kelin Li
spellingShingle Weiyi Hu
Kelin Li
Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
Complexity
author_facet Weiyi Hu
Kelin Li
author_sort Weiyi Hu
title Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_short Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_full Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_fullStr Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_full_unstemmed Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_sort global exponential stability and periodicity of nonautonomous impulsive neural networks with time-varying delays and reaction-diffusion terms
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description In this paper, we investigate the global exponential stability and periodicity of nonautonomous cellular neural networks with reaction-diffusion, impulses, and time-varying delays. By establishing a new differential inequality for nonautonomous systems, using the properties of M-matrix and inequality techniques, some new sufficient conditions for the global exponential stability of the system are obtained. Moreover, sufficient conditions for the periodic solutions of the system are obtained by using the Poincare mapping and the fixed point theory. The validity and superiority of the main results are verified by numerical examples and simulations.
url http://dx.doi.org/10.1155/2021/3495545
work_keys_str_mv AT weiyihu globalexponentialstabilityandperiodicityofnonautonomousimpulsiveneuralnetworkswithtimevaryingdelaysandreactiondiffusionterms
AT kelinli globalexponentialstabilityandperiodicityofnonautonomousimpulsiveneuralnetworkswithtimevaryingdelaysandreactiondiffusionterms
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