Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks

Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks

A class of BAM neural networks with variable coefficients and neutral delays are investigated. By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almos...

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Main Authors: Tetie Pan, Bao Shi, Jian Yuan
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/482584
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spelling doaj-fce2209232ae41179ed1bfb4e0d847e62020-11-25T01:27:12ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/482584482584Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural NetworksTetie Pan0Bao Shi1Jian Yuan2Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaA class of BAM neural networks with variable coefficients and neutral delays are investigated. By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almost periodic solution. This is the first time to investigate the almost periodic solution of the BAM neutral neural network and the results of this paper are new, and they extend previously known results.http://dx.doi.org/10.1155/2012/482584
collection DOAJ
language English
format Article
sources DOAJ
author Tetie Pan
Bao Shi
Jian Yuan
spellingShingle Tetie Pan
Bao Shi
Jian Yuan
Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
Abstract and Applied Analysis
author_facet Tetie Pan
Bao Shi
Jian Yuan
author_sort Tetie Pan
title Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
title_short Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
title_full Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
title_fullStr Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
title_full_unstemmed Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
title_sort global stability of almost periodic solution of a class of neutral-type bam neural networks
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description A class of BAM neural networks with variable coefficients and neutral delays are investigated. By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almost periodic solution. This is the first time to investigate the almost periodic solution of the BAM neutral neural network and the results of this paper are new, and they extend previously known results.
url http://dx.doi.org/10.1155/2012/482584
work_keys_str_mv AT tetiepan globalstabilityofalmostperiodicsolutionofaclassofneutraltypebamneuralnetworks
AT baoshi globalstabilityofalmostperiodicsolutionofaclassofneutraltypebamneuralnetworks
AT jianyuan globalstabilityofalmostperiodicsolutionofaclassofneutraltypebamneuralnetworks
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