Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks
This paper investigates synchronization problem of switched delay networks with interval parameters uncertainty, based on the theories of the switched systems and drive-response technique, a mathematical model of the switched interval drive-response error system is established. Without constructing...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/940573 |
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| _version_ | 1849414187185340416 |
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| author | Jinde Cao Abdulaziz Alofi Abdullah Al-Mazrooei Ahmed Elaiw |
| author_facet | Jinde Cao Abdulaziz Alofi Abdullah Al-Mazrooei Ahmed Elaiw |
| author_sort | Jinde Cao |
| collection | DOAJ |
| description | This paper investigates synchronization problem of switched delay networks with interval parameters uncertainty, based on the theories of the switched systems and drive-response technique, a mathematical model of the switched interval drive-response error system is established. Without constructing Lyapunov-Krasovskii functions, introducing matrix measure method for the first time to switched time-varying delay networks, combining Halanay inequality technique, synchronization criteria are derived for switched interval networks under the arbitrary switching rule, which are easy to verify in practice. Moreover, as an application, the proposed scheme is then applied to chaotic neural networks. Finally, numerical simulations are provided to illustrate the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-67ec5b5c8db349099be6639898db7273 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-67ec5b5c8db349099be6639898db72732025-08-20T03:33:54ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/940573940573Synchronization of Switched Interval Networks and Applications to Chaotic Neural NetworksJinde Cao0Abdulaziz Alofi1Abdullah Al-Mazrooei2Ahmed Elaiw3Department of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThis paper investigates synchronization problem of switched delay networks with interval parameters uncertainty, based on the theories of the switched systems and drive-response technique, a mathematical model of the switched interval drive-response error system is established. Without constructing Lyapunov-Krasovskii functions, introducing matrix measure method for the first time to switched time-varying delay networks, combining Halanay inequality technique, synchronization criteria are derived for switched interval networks under the arbitrary switching rule, which are easy to verify in practice. Moreover, as an application, the proposed scheme is then applied to chaotic neural networks. Finally, numerical simulations are provided to illustrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2013/940573 |
| spellingShingle | Jinde Cao Abdulaziz Alofi Abdullah Al-Mazrooei Ahmed Elaiw Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks Abstract and Applied Analysis |
| title | Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks |
| title_full | Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks |
| title_fullStr | Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks |
| title_full_unstemmed | Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks |
| title_short | Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks |
| title_sort | synchronization of switched interval networks and applications to chaotic neural networks |
| url | http://dx.doi.org/10.1155/2013/940573 |
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