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

Author

Listed:
  • Shouting Hong
  • Junfeng Zhang
  • Gang Zheng
  • Haoyue Yang
  • Bhatti Uzair Aslam

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.

Suggested Citation

  • Shouting Hong & Junfeng Zhang & Gang Zheng & Haoyue Yang & Bhatti Uzair Aslam, 2025. "Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems," PLOS ONE, Public Library of Science, vol. 20(5), pages 1-26, May.
    • Handle: RePEc:plo:pone00:0321582
    DOI: 10.1371/journal.pone.0321582
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