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Fixed-Time Resilient Distributed NE Seeking Control for Nonlinear MASs Against DoS Attacks.

Shihan Zhou, Chao Deng, Sha Fan

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    Summary
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    This study introduces a layered control strategy for nonlinear multiagent systems to achieve resilient distributed Nash equilibrium (NE) under denial-of-service (DoS) attacks, ensuring fixed-time convergence independent of initial conditions.

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    Area of Science:

    • Control Theory
    • Game Theory
    • Networked Systems

    Background:

    • Nonlinear multiagent systems (MASs) face challenges in achieving distributed Nash equilibrium (NE) under denial-of-service (DoS) attacks.
    • Existing NE seeking methods often lack resilience to DoS attacks and fixed-time convergence guarantees.
    • Addressing initial condition dependency is crucial for robust control in MASs.

    Purpose of the Study:

    • To develop a layered fixed-time resilient distributed NE control strategy for nonlinear MASs against DoS attacks.
    • To ensure NE convergence independent of initial system states.
    • To enhance control performance and achieve bounded tracking within a fixed time.

    Main Methods:

    • A novel layered NE control strategy comprising three layers: resilient fixed-time NE seeking, fixed-time performance enhancement, and adaptive controller design.
    • Design of a fixed-time resilient distributed NE seeking algorithm to ensure convergence towards NE despite DoS attacks.
    • Development of high-order fixed-time filters for smooth action generation and a decentralized fuzzy adaptive controller using backstepping for bounded tracking.

    Main Results:

    • The proposed strategy guarantees players' actions converge to the Nash equilibrium (NE) in fixed time, even under DoS attacks.
    • Novel high-order fixed-time filters ensure smooth action characteristics and convergence to algorithm-generated actions.
    • A decentralized fuzzy adaptive controller achieves bounded tracking within a fixed time, validated by numerical simulations.

    Conclusions:

    • The developed layered fixed-time resilient distributed NE control strategy effectively addresses DoS attacks in nonlinear MASs.
    • The method ensures fixed-time convergence to NE independent of initial conditions, enhancing system resilience.
    • Numerical simulations confirm the efficacy of the proposed approach for robust control and tracking in MASs.