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Distributed Control Problems on Signed Networks Under Mixed Static and Dynamic Protocols.

Yuxin Wu, Deyuan Meng, Qiang Song

    IEEE Transactions on Cybernetics
    |November 8, 2021
    PubMed
    Summary
    This summary is machine-generated.

    This study explores signed network dynamics using mixed static and dynamic controls. Researchers achieved bipartite containment tracking, ensuring follower nodes converge within a bounded zone defined by leader states.

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    Area of Science:

    • Network Science
    • Control Theory
    • Systems Engineering

    Background:

    • Signed networks exhibit complex dynamics due to positive and negative interactions.
    • Existing control protocols may not fully capture the dual nature of communication channels.

    Purpose of the Study:

    • To investigate the dynamic behaviors of signed networks under mixed static and dynamic control protocols.
    • To establish a framework for analyzing leader-follower interactions in signed networks.
    • To demonstrate bipartite containment tracking and consensus achievement.

    Main Methods:

    • An extended leader-follower framework was developed for signed networks.
    • Analysis involved signed digraphs to define node roles.
    • Conditions for zero convergence of control inputs and bipartite consensus were derived.

    Main Results:

    • Bipartite containment tracking was achieved irrespective of network topology.
    • Leader groups attained modulus consensus.
    • Follower nodes converged within a bounded zone determined by leader states and their symmetric counterparts.

    Conclusions:

    • The proposed mixed control protocols effectively manage signed network dynamics.
    • The leader-follower framework provides insights into network control and consensus.
    • The findings are validated through simulation examples.