Pinning Synchronization of One-Sided Lipschitz Complex Networks
This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition. Based on M-matrix theory and Lyapunov functional method, some simple pinning conditions are derived...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/627060 |
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| _version_ | 1832556127576915968 |
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| author | Fang Liu Qiang Song Jinde Cao Jianquan Lu |
| author_facet | Fang Liu Qiang Song Jinde Cao Jianquan Lu |
| author_sort | Fang Liu |
| collection | DOAJ |
| description | This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition.
Based on M-matrix theory and Lyapunov functional method, some simple pinning conditions are derived for one-sided Lipschitz complex networks with full-state and partial-state coupling, respectively. A selective pinning scheme is further provided to address the selection of pinned nodes and the design of pinning feedback gains for one-sided Lipschitz complex networks with general topologies. Numerical results are given to illustrate the effectiveness of the theoretical analysis. |
| format | Article |
| id | doaj-art-d603d289b6004993a04e36fd402b80f5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d603d289b6004993a04e36fd402b80f52025-02-03T05:46:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/627060627060Pinning Synchronization of One-Sided Lipschitz Complex NetworksFang Liu0Qiang Song1Jinde Cao2Jianquan Lu3School of Information Engineering, Huanghuai University, Henan 463000, ChinaSchool of Information Engineering, Huanghuai University, Henan 463000, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaThis paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition. Based on M-matrix theory and Lyapunov functional method, some simple pinning conditions are derived for one-sided Lipschitz complex networks with full-state and partial-state coupling, respectively. A selective pinning scheme is further provided to address the selection of pinned nodes and the design of pinning feedback gains for one-sided Lipschitz complex networks with general topologies. Numerical results are given to illustrate the effectiveness of the theoretical analysis.http://dx.doi.org/10.1155/2014/627060 |
| spellingShingle | Fang Liu Qiang Song Jinde Cao Jianquan Lu Pinning Synchronization of One-Sided Lipschitz Complex Networks Discrete Dynamics in Nature and Society |
| title | Pinning Synchronization of One-Sided Lipschitz Complex Networks |
| title_full | Pinning Synchronization of One-Sided Lipschitz Complex Networks |
| title_fullStr | Pinning Synchronization of One-Sided Lipschitz Complex Networks |
| title_full_unstemmed | Pinning Synchronization of One-Sided Lipschitz Complex Networks |
| title_short | Pinning Synchronization of One-Sided Lipschitz Complex Networks |
| title_sort | pinning synchronization of one sided lipschitz complex networks |
| url | http://dx.doi.org/10.1155/2014/627060 |
| work_keys_str_mv | AT fangliu pinningsynchronizationofonesidedlipschitzcomplexnetworks AT qiangsong pinningsynchronizationofonesidedlipschitzcomplexnetworks AT jindecao pinningsynchronizationofonesidedlipschitzcomplexnetworks AT jianquanlu pinningsynchronizationofonesidedlipschitzcomplexnetworks |