New Global Synchronization Analysis for Complex Networks with Coupling Delay
Global synchronization analysis for complex networks with coupling delay is investigated. Firstly the constant time delay is analyzed and then the case for time-varying delay is considered. Sufficient conditions for network synchronization are given based on Lyapunov functional, linear matrix inequa...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/623249 |
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| _version_ | 1832566624114180096 |
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| author | Jinfang Zhang Yuanhua Qiao Jun Miao Lijuan Duan Yanjun Zeng |
| author_facet | Jinfang Zhang Yuanhua Qiao Jun Miao Lijuan Duan Yanjun Zeng |
| author_sort | Jinfang Zhang |
| collection | DOAJ |
| description | Global synchronization analysis for complex networks with coupling delay is investigated. Firstly the constant time delay is analyzed and then the case for time-varying delay is considered. Sufficient conditions for network synchronization are given based on Lyapunov functional, linear matrix inequality, and Kronecker product technique. The unknown variables in the sufficient conditions are fewer than those in the recent reference. Moreover, for the time-varying delay case, we find that the conditions are dependent on the bounds of both time delay and its derivative, and the derivative of the time-varying delay can be any value in the bounds. Finally, numerical examples are given to validate the effectiveness of the obtained results. |
| format | Article |
| id | doaj-art-7d72f01fedf14f48af494686c3350c22 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7d72f01fedf14f48af494686c3350c222025-02-03T01:03:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/623249623249New Global Synchronization Analysis for Complex Networks with Coupling DelayJinfang Zhang0Yuanhua Qiao1Jun Miao2Lijuan Duan3Yanjun Zeng4College of Applied Sciences, Beijing University of Technology, Beijing 100124, ChinaCollege of Applied Sciences, Beijing University of Technology, Beijing 100124, ChinaKey Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100190, ChinaCollege of Computer Science, Beijing University of Technology, Beijing 100124, ChinaCollege of Life Science and Bioengineering, Beijing University of Technology, Beijing 100124, ChinaGlobal synchronization analysis for complex networks with coupling delay is investigated. Firstly the constant time delay is analyzed and then the case for time-varying delay is considered. Sufficient conditions for network synchronization are given based on Lyapunov functional, linear matrix inequality, and Kronecker product technique. The unknown variables in the sufficient conditions are fewer than those in the recent reference. Moreover, for the time-varying delay case, we find that the conditions are dependent on the bounds of both time delay and its derivative, and the derivative of the time-varying delay can be any value in the bounds. Finally, numerical examples are given to validate the effectiveness of the obtained results.http://dx.doi.org/10.1155/2014/623249 |
| spellingShingle | Jinfang Zhang Yuanhua Qiao Jun Miao Lijuan Duan Yanjun Zeng New Global Synchronization Analysis for Complex Networks with Coupling Delay Journal of Applied Mathematics |
| title | New Global Synchronization Analysis for Complex Networks with Coupling Delay |
| title_full | New Global Synchronization Analysis for Complex Networks with Coupling Delay |
| title_fullStr | New Global Synchronization Analysis for Complex Networks with Coupling Delay |
| title_full_unstemmed | New Global Synchronization Analysis for Complex Networks with Coupling Delay |
| title_short | New Global Synchronization Analysis for Complex Networks with Coupling Delay |
| title_sort | new global synchronization analysis for complex networks with coupling delay |
| url | http://dx.doi.org/10.1155/2014/623249 |
| work_keys_str_mv | AT jinfangzhang newglobalsynchronizationanalysisforcomplexnetworkswithcouplingdelay AT yuanhuaqiao newglobalsynchronizationanalysisforcomplexnetworkswithcouplingdelay AT junmiao newglobalsynchronizationanalysisforcomplexnetworkswithcouplingdelay AT lijuanduan newglobalsynchronizationanalysisforcomplexnetworkswithcouplingdelay AT yanjunzeng newglobalsynchronizationanalysisforcomplexnetworkswithcouplingdelay |