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Controllability Ensured Leader Group Selection on Signed Multiagent Networks.

Baike She, Siddhartha Mehta, Chau Ton

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    This study introduces leader-follower controllability for signed multiagent networks, developing methods to select leaders for network control despite competitive interactions. These findings apply to both signed and unsigned networks.

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    Area of Science:

    • Control Theory
    • Network Science
    • Systems Engineering

    Background:

    • Leader-follower dynamics are crucial in multiagent systems.
    • Signed networks capture complex cooperative and competitive interactions.
    • Controllability of unsigned networks is well-studied, but signed networks present unique challenges.

    Purpose of the Study:

    • To investigate leader-follower controllability in dynamic signed multiagent networks.
    • To develop methods for selecting a minimal leader set to ensure network control.
    • To address challenges posed by antagonistic interactions in signed networks.

    Main Methods:

    • Graphical characterizations of controllability based on network topology and agent dynamics.
    • Development of leader selection methods for signed path and cycle graphs.
    • Exploitation of topological insights for leader selection in general signed networks.

    Main Results:

    • Established graphical characterizations for controllability in signed networks.
    • Developed effective leader selection strategies for path and cycle network structures.
    • Demonstrated the applicability of findings to both signed and unsigned networks.

    Conclusions:

    • The study provides novel methods for ensuring leader-follower controllability in signed multiagent networks.
    • The developed leader selection techniques are robust to antagonistic interactions.
    • The generic nature of the results extends their utility to a broad range of network types.