Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems

Shouting Hong, Junfeng Zhang, Gang Zheng, Haoyue Yang and Bhatti Uzair Aslam

PLOS ONE, 2025, vol. 20, issue 5, 1-26

Abstract: 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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0321582

DOI: 10.1371/journal.pone.0321582

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