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Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control

Author

Listed:
  • Jie Liu

    (College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
    Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China)

  • Jian-Ping Sun

    (College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
    Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China)

Abstract

In this paper, the problem of clustering component synchronization of nonlinearly coupled complex networks with nonidentical nodes and asymmetric couplings is investigated. A pinning control strategy is designed to achieve the clustering component synchronization with respect to the specified components. Based on matrix analysis and stability theory, clustering component synchronization criteria are established. Two numerical simulations are also provided to show the effectiveness of the theoretical results.

Suggested Citation

  • Jie Liu & Jian-Ping Sun, 2024. "Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:1022-:d:1366193
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    References listed on IDEAS

    as
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    4. Li, Fengbing & Ma, Zhongjun & Duan, Qichang, 2019. "Clustering component synchronization in a class of unconnected networks via pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 394-401.
    5. Kumar, Ankit & Das, Subir & Singh, Sunny & Rajeev,, 2023. "Quasi-projective synchronization of inertial complex-valued recurrent neural networks with mixed time-varying delay and mismatched parameters," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
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