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Stabilization of a structurally balanced complex network with similar nodes of different dimensions

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Listed:
  • Gao, Zilin
  • Guo, Changyuan
  • Li, Yongfu
  • Liu, Lizhi
  • Luo, Weimin

Abstract

This paper dedicates to the issue of stabilization for structurally balanced coupled complex networks with distinct nodes, in which the time delay is arbitrary and finite. We put forward a network model that contains similar nodes of different state dimensions. Proper decentralized controllers are proposed for this model with some necessary assumptions. Besides, the control scheme is also effective even though the nodes’ state dimensions are identical. Finally, we prove the effectiveness of the theoretical results by giving two numerical examples.

Suggested Citation

  • Gao, Zilin & Guo, Changyuan & Li, Yongfu & Liu, Lizhi & Luo, Weimin, 2023. "Stabilization of a structurally balanced complex network with similar nodes of different dimensions," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    • Handle: RePEc:eee:apmaco:v:458:y:2023:i:c:s0096300323004071
    DOI: 10.1016/j.amc.2023.128238
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    References listed on IDEAS

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    4. Liu, Xian & Wang, Jinzhi & Huang, Lin, 2007. "Stabilization of a class of dynamical complex networks based on decentralized control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 733-744.
    5. Wu, Jie & He, Xinyi & Li, Xiaodi, 2022. "Finite-time stabilization of time-varying nonlinear systems based on a novel differential inequality approach," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    6. Guan Wang & Yi Shen, 2013. "Cluster synchronisation of directed complex dynamical networks with nonidentical nodes via pinning control," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(9), pages 1577-1586.
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