Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks

Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks

This paper deals with a class of neutral-type complex-valued neural networks with delays. By means of Mawhin’s continuation theorem, some criteria on existence of periodic solutions are established for the neutral-type complex-valued neural networks. By constructing an appropriate Lyapunov-Krasovski...

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Main Authors: Song Guo, Bo Du
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/1267954
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spelling doaj-918f3bc0031149c7a175fff89edbc0b02020-11-24T21:00:01ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/12679541267954Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural NetworksSong Guo0Bo Du1Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaDepartment of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaThis paper deals with a class of neutral-type complex-valued neural networks with delays. By means of Mawhin’s continuation theorem, some criteria on existence of periodic solutions are established for the neutral-type complex-valued neural networks. By constructing an appropriate Lyapunov-Krasovskii functional, some sufficient conditions are derived for the global exponential stability of periodic solutions to the neutral-type complex-valued neural networks. Finally, numerical examples are given to show the effectiveness and merits of the present results.http://dx.doi.org/10.1155/2016/1267954
collection DOAJ
language English
format Article
sources DOAJ
author Song Guo
Bo Du
spellingShingle Song Guo
Bo Du
Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks
Discrete Dynamics in Nature and Society
author_facet Song Guo
Bo Du
author_sort Song Guo
title Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks
title_short Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks
title_full Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks
title_fullStr Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks
title_full_unstemmed Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks
title_sort global exponential stability of periodic solution for neutral-type complex-valued neural networks
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2016-01-01
description This paper deals with a class of neutral-type complex-valued neural networks with delays. By means of Mawhin’s continuation theorem, some criteria on existence of periodic solutions are established for the neutral-type complex-valued neural networks. By constructing an appropriate Lyapunov-Krasovskii functional, some sufficient conditions are derived for the global exponential stability of periodic solutions to the neutral-type complex-valued neural networks. Finally, numerical examples are given to show the effectiveness and merits of the present results.
url http://dx.doi.org/10.1155/2016/1267954
work_keys_str_mv AT songguo globalexponentialstabilityofperiodicsolutionforneutraltypecomplexvaluedneuralnetworks
AT bodu globalexponentialstabilityofperiodicsolutionforneutraltypecomplexvaluedneuralnetworks
_version_ 1716780560415719424

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