Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control
The problem of synchronization for a class of complex networks with probabilistic time-varying coupling delay and distributed time-varying coupling delay (mixed probabilistic time-varying coupling delays) using pinning control is investigated in this paper. The coupling configuration matrices are no...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/742956 |
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| _version_ | 1832554459518992384 |
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| author | Jian-An Wang |
| author_facet | Jian-An Wang |
| author_sort | Jian-An Wang |
| collection | DOAJ |
| description | The problem of synchronization for a class of complex networks with probabilistic time-varying coupling delay and distributed time-varying coupling delay (mixed probabilistic time-varying coupling delays) using pinning control is investigated in this paper. The coupling configuration matrices are not assumed to be symmetric or irreducible. By adding adaptive feedback controllers to a small fraction of network nodes, a low-dimensional pinning sufficient condition is obtained, which can guarantee that the network asymptotically synchronizes to a homogenous trajectory in mean square sense. Simultaneously, two simple pinning synchronization criteria are derived from the proposed condition. Numerical simulation is provided to verify the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-d362701148734f98a9dd327680699a87 |
| 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-d362701148734f98a9dd327680699a872025-02-03T05:51:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/742956742956Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning ControlJian-An Wang0School of Electronics Information Engineering, Taiyuan University of Science and Technology, Shanxi 030024, ChinaThe problem of synchronization for a class of complex networks with probabilistic time-varying coupling delay and distributed time-varying coupling delay (mixed probabilistic time-varying coupling delays) using pinning control is investigated in this paper. The coupling configuration matrices are not assumed to be symmetric or irreducible. By adding adaptive feedback controllers to a small fraction of network nodes, a low-dimensional pinning sufficient condition is obtained, which can guarantee that the network asymptotically synchronizes to a homogenous trajectory in mean square sense. Simultaneously, two simple pinning synchronization criteria are derived from the proposed condition. Numerical simulation is provided to verify the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2014/742956 |
| spellingShingle | Jian-An Wang Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control Journal of Applied Mathematics |
| title | Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control |
| title_full | Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control |
| title_fullStr | Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control |
| title_full_unstemmed | Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control |
| title_short | Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control |
| title_sort | adaptive synchronization of complex networks with mixed probabilistic coupling delays via pinning control |
| url | http://dx.doi.org/10.1155/2014/742956 |
| work_keys_str_mv | AT jiananwang adaptivesynchronizationofcomplexnetworkswithmixedprobabilisticcouplingdelaysviapinningcontrol |