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Static Bipartite Consensus Problems of Heterogeneous Signed Networks

Author

Listed:
  • Yu Ma

    (School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Science), No. 3501, Daxue Road, Changqing District, Jinan 250353, China)

  • Yi Zhang

    (School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Science), No. 3501, Daxue Road, Changqing District, Jinan 250353, China)

  • Jinchao Li

    (School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Science), No. 3501, Daxue Road, Changqing District, Jinan 250353, China)

  • Mingjun Du

    (School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Science), No. 3501, Daxue Road, Changqing District, Jinan 250353, China)

  • Peng Ji

    (School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Science), No. 3501, Daxue Road, Changqing District, Jinan 250353, China)

Abstract

This paper aims to study the distributed control problems of heterogeneous signed networks whose communication topologies are undirected. A distributed control protocol is designed based on neighboring state information. With this protocol be employed, the convergence results of the heterogeneous signed network are provided. It is shown that the heterogeneous signed network can achieve the static bipartite consensus (respectively, state stability) if and only if the signed graph is structurally balanced (respectively, unbalanced). The associated convergence analyses can be developed by constructing a suitable Lyapunov function. In addition, two simulation examples are presented to validate the correctness of the obtained results.

Suggested Citation

  • Yu Ma & Yi Zhang & Jinchao Li & Mingjun Du & Peng Ji, 2024. "Static Bipartite Consensus Problems of Heterogeneous Signed Networks," Mathematics, MDPI, vol. 12(10), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1523-:d:1394013
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