Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control
The outer synchronization problem between two complex networks with nondelayed and time-varying delayed couplings via two different control schemes, namely, pinning control and impulsive control, is considered. Firstly, by applying pinning control to a fraction of the network nodes and using a suita...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/414596 |
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| _version_ | 1832561205789589504 |
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| author | Jianwen Feng Sa Sheng Ze Tang Yi Zhao |
| author_facet | Jianwen Feng Sa Sheng Ze Tang Yi Zhao |
| author_sort | Jianwen Feng |
| collection | DOAJ |
| description | The outer synchronization problem between two complex networks with nondelayed and time-varying delayed couplings via two different control schemes, namely, pinning control and impulsive control, is considered. Firstly, by applying pinning control to a fraction of the network nodes and using a suitable Lyapunov function, we obtain some new and useful synchronization criteria, which guarantee the outer
synchronization between two complex networks. Secondly, impulsive control is added to the nodes of corresponding response network. Based on the generalized inequality about time-varying delayed different equation, the sufficient conditions for outer synchronization are derived. Finally, some examples are presented to demonstrate the effectiveness and feasibility of the results obtained in this paper. |
| format | Article |
| id | doaj-art-267d4648bdf142cf8c684d272f97d5ad |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-267d4648bdf142cf8c684d272f97d5ad2025-02-03T01:25:40ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/414596414596Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive ControlJianwen Feng0Sa Sheng1Ze Tang2Yi Zhao3College of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaDepartment of Electrical Engineering, Yeungnam University, Gyeongsan, Gyeongbuk 712-749, Republic of KoreaCollege of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaThe outer synchronization problem between two complex networks with nondelayed and time-varying delayed couplings via two different control schemes, namely, pinning control and impulsive control, is considered. Firstly, by applying pinning control to a fraction of the network nodes and using a suitable Lyapunov function, we obtain some new and useful synchronization criteria, which guarantee the outer synchronization between two complex networks. Secondly, impulsive control is added to the nodes of corresponding response network. Based on the generalized inequality about time-varying delayed different equation, the sufficient conditions for outer synchronization are derived. Finally, some examples are presented to demonstrate the effectiveness and feasibility of the results obtained in this paper.http://dx.doi.org/10.1155/2015/414596 |
| spellingShingle | Jianwen Feng Sa Sheng Ze Tang Yi Zhao Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control Abstract and Applied Analysis |
| title | Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control |
| title_full | Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control |
| title_fullStr | Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control |
| title_full_unstemmed | Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control |
| title_short | Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control |
| title_sort | outer synchronization of complex networks with nondelayed and time varying delayed couplings via pinning control or impulsive control |
| url | http://dx.doi.org/10.1155/2015/414596 |
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