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    Area of Science:

    • Control Theory
    • Networked Systems
    • Robotics

    Background:

    • Finite-time consensus in multiagent systems is crucial for coordinated behavior.
    • Existing protocols are typically either continuous or discontinuous, studied in isolation.
    • Challenges remain in achieving rapid consensus and handling diverse initial conditions.

    Purpose of the Study:

    • To develop a unified framework for finite-time consensus protocols.
    • To design a novel centralized switching consensus protocol.
    • To enable faster consensus achievement in multiagent systems.

    Main Methods:

    • Designing a centralized switching consensus protocol.
    • Simultaneously considering continuous and discontinuous protocol types.
    • Deriving an exact bound for switching criteria based on initial disagreement.

    Main Results:

    • The proposed switching protocol achieves finite-time consensus at a faster speed.
    • An exact bound is derived to determine optimal protocol switching.
    • Numerical examples demonstrate the superiority of the new protocol.

    Conclusions:

    • The novel switching protocol effectively unifies and improves upon existing finite-time consensus methods.
    • The derived switching bound provides a practical guideline for protocol selection.
    • This approach offers enhanced performance for coordinated multiagent systems.