New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses
By M-matrix theory, inequality techniques, and Lyapunov functional method, certain sufficient conditions are obtained to ensure the existence, uniqueness, and global exponential stability of periodic solution for a new type of high-order BAM neural networks with continuously distributed delays and i...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/247046 |
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| _version_ | 1832545400033116160 |
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| author | Chang-Bo Yang Ting-Zhu Huang Jin-Liang Shao |
| author_facet | Chang-Bo Yang Ting-Zhu Huang Jin-Liang Shao |
| author_sort | Chang-Bo Yang |
| collection | DOAJ |
| description | By M-matrix theory, inequality techniques, and Lyapunov functional method, certain sufficient conditions are obtained to ensure the existence, uniqueness, and global exponential stability of periodic solution for a new type of high-order BAM neural networks with continuously distributed delays and impulses. These novel conditions extend and improve some previously known results in the literature. Finally, an illustrative example and its numerical simulation are given to show the feasibility and correctness of the derived criteria. |
| format | Article |
| id | doaj-art-c7e702c091b74ba7873ce307968f88d0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c7e702c091b74ba7873ce307968f88d02025-02-03T07:26:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/247046247046New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and ImpulsesChang-Bo Yang0Ting-Zhu Huang1Jin-Liang Shao2School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaBy M-matrix theory, inequality techniques, and Lyapunov functional method, certain sufficient conditions are obtained to ensure the existence, uniqueness, and global exponential stability of periodic solution for a new type of high-order BAM neural networks with continuously distributed delays and impulses. These novel conditions extend and improve some previously known results in the literature. Finally, an illustrative example and its numerical simulation are given to show the feasibility and correctness of the derived criteria.http://dx.doi.org/10.1155/2013/247046 |
| spellingShingle | Chang-Bo Yang Ting-Zhu Huang Jin-Liang Shao New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses Journal of Applied Mathematics |
| title | New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses |
| title_full | New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses |
| title_fullStr | New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses |
| title_full_unstemmed | New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses |
| title_short | New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses |
| title_sort | new results for periodic solution of high order bam neural networks with continuously distributed delays and impulses |
| url | http://dx.doi.org/10.1155/2013/247046 |
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