Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems.
This paper investigates the stabilization and synchronization of positive complex networks with dynamic links. A class of positive complex networks is constructed by introducing dynamic link between nodes. A controller and the corresponding coupling term with respect to links are designed to achieve...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2025-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0321582 |
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| _version_ | 1849732020989591552 |
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| author | Shouting Hong Junfeng Zhang Gang Zheng Haoyue Yang Bhatti Uzair Aslam |
| author_facet | Shouting Hong Junfeng Zhang Gang Zheng Haoyue Yang Bhatti Uzair Aslam |
| author_sort | Shouting Hong |
| collection | DOAJ |
| description | This paper investigates the stabilization and synchronization of positive complex networks with dynamic links. A class of positive complex networks is constructed by introducing dynamic link between nodes. A controller and the corresponding coupling term with respect to links are designed to achieve the positivity and stability of complex networks and link systems, respectively. Then, a synchronization controller and the corresponding coupling term with respect to links and node states are proposed, respectively. The main contributions are as follows: (i) A novel coupling term is constructed to achieve stability and synchronization of positive complex networks, (ii) A stabilization and synchronization framework is constructed by designing two classes of controllers and coupling terms, and (iii) A tractable design, analysis, and computation method is introduced by virtue of linear programming and copositive Lyapunov function. Finally, a simulation example is provided to verify the effectiveness and feasibility of the proposed approaches. |
| format | Article |
| id | doaj-art-a8980f80ac2d4e879821fb058992d0e7 |
| institution | DOAJ |
| issn | 1932-6203 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj-art-a8980f80ac2d4e879821fb058992d0e72025-08-20T03:08:21ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01205e032158210.1371/journal.pone.0321582Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems.Shouting HongJunfeng ZhangGang ZhengHaoyue YangBhatti Uzair AslamThis paper investigates the stabilization and synchronization of positive complex networks with dynamic links. A class of positive complex networks is constructed by introducing dynamic link between nodes. A controller and the corresponding coupling term with respect to links are designed to achieve the positivity and stability of complex networks and link systems, respectively. Then, a synchronization controller and the corresponding coupling term with respect to links and node states are proposed, respectively. The main contributions are as follows: (i) A novel coupling term is constructed to achieve stability and synchronization of positive complex networks, (ii) A stabilization and synchronization framework is constructed by designing two classes of controllers and coupling terms, and (iii) A tractable design, analysis, and computation method is introduced by virtue of linear programming and copositive Lyapunov function. Finally, a simulation example is provided to verify the effectiveness and feasibility of the proposed approaches.https://doi.org/10.1371/journal.pone.0321582 |
| spellingShingle | Shouting Hong Junfeng Zhang Gang Zheng Haoyue Yang Bhatti Uzair Aslam Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems. PLoS ONE |
| title | Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems. |
| title_full | Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems. |
| title_fullStr | Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems. |
| title_full_unstemmed | Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems. |
| title_short | Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems. |
| title_sort | linear programming based stabilization and synchronization of positive complex networks with dynamic link subsystems |
| url | https://doi.org/10.1371/journal.pone.0321582 |
| work_keys_str_mv | AT shoutinghong linearprogrammingbasedstabilizationandsynchronizationofpositivecomplexnetworkswithdynamiclinksubsystems AT junfengzhang linearprogrammingbasedstabilizationandsynchronizationofpositivecomplexnetworkswithdynamiclinksubsystems AT gangzheng linearprogrammingbasedstabilizationandsynchronizationofpositivecomplexnetworkswithdynamiclinksubsystems AT haoyueyang linearprogrammingbasedstabilizationandsynchronizationofpositivecomplexnetworkswithdynamiclinksubsystems AT bhattiuzairaslam linearprogrammingbasedstabilizationandsynchronizationofpositivecomplexnetworkswithdynamiclinksubsystems |