Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay
This paper is concerned with the exponential synchronization for a class of N-coupled complex partial differential systems (PDSs) with time-varying delay. The synchronization error dynamic of the PDSs is defined in the q-dimensional spatial domain. To achieve synchronization, we added a linear feedb...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/5982365 |
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| _version_ | 1832549202406670336 |
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| author | Wenhua Xia Yiping Luo Bifeng Zhou Guanghui Liu |
| author_facet | Wenhua Xia Yiping Luo Bifeng Zhou Guanghui Liu |
| author_sort | Wenhua Xia |
| collection | DOAJ |
| description | This paper is concerned with the exponential synchronization for a class of N-coupled complex partial differential systems (PDSs) with time-varying delay. The synchronization error dynamic of the PDSs is defined in the q-dimensional spatial domain. To achieve synchronization, we added a linear feedback controller. A sufficient condition is derived to ensure the exponential synchronization of the proposed networks using the Lyapunov–Krasovskii stability approach and matrix inequality technology. The proposed system has broad applications. Two example applications are presented in the final section of this paper to verify the proposed theoretical result. |
| format | Article |
| id | doaj-art-de14dfd14db94d208106f2d1bf085511 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-de14dfd14db94d208106f2d1bf0855112025-02-03T06:12:02ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/59823655982365Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying DelayWenhua Xia0Yiping Luo1Bifeng Zhou2Guanghui Liu3College of Science, Hunan Institute of Engineering, Hunan 411104, ChinaCollege of Science, Hunan Institute of Engineering, Hunan 411104, ChinaHunan Electrical College of Technology, Hunan 411101, ChinaCollege of Science, Hunan Institute of Engineering, Hunan 411104, ChinaThis paper is concerned with the exponential synchronization for a class of N-coupled complex partial differential systems (PDSs) with time-varying delay. The synchronization error dynamic of the PDSs is defined in the q-dimensional spatial domain. To achieve synchronization, we added a linear feedback controller. A sufficient condition is derived to ensure the exponential synchronization of the proposed networks using the Lyapunov–Krasovskii stability approach and matrix inequality technology. The proposed system has broad applications. Two example applications are presented in the final section of this paper to verify the proposed theoretical result.http://dx.doi.org/10.1155/2017/5982365 |
| spellingShingle | Wenhua Xia Yiping Luo Bifeng Zhou Guanghui Liu Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay Complexity |
| title | Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay |
| title_full | Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay |
| title_fullStr | Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay |
| title_full_unstemmed | Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay |
| title_short | Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay |
| title_sort | exponential synchronization of a class of n coupled complex partial differential systems with time varying delay |
| url | http://dx.doi.org/10.1155/2017/5982365 |
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