Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses

Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses

A class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function,...

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Main Authors: Qiming Liu, Rui Xu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/643418
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spelling doaj-767dff0e97e5492ab7fb3cbf7f24b54d2020-11-24T23:57:58ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/643418643418Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and ImpulsesQiming Liu0Rui Xu1Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, ChinaInstitute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, ChinaA class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties of M-matrix, and some suitable mathematical transformation. The results in this paper improve the earlier publications.http://dx.doi.org/10.1155/2012/643418
collection DOAJ
language English
format Article
sources DOAJ
author Qiming Liu
Rui Xu
spellingShingle Qiming Liu
Rui Xu
Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
Journal of Applied Mathematics
author_facet Qiming Liu
Rui Xu
author_sort Qiming Liu
title Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
title_short Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
title_full Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
title_fullStr Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
title_full_unstemmed Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
title_sort periodic solutions of a cohen-grossberg-type bam neural networks with distributed delays and impulses
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description A class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties of M-matrix, and some suitable mathematical transformation. The results in this paper improve the earlier publications.
url http://dx.doi.org/10.1155/2012/643418
work_keys_str_mv AT qimingliu periodicsolutionsofacohengrossbergtypebamneuralnetworkswithdistributeddelaysandimpulses
AT ruixu periodicsolutionsofacohengrossbergtypebamneuralnetworkswithdistributeddelaysandimpulses
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