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    This study introduces a human-in-the-loop control for multiagent systems (MASs) facing denial-of-service (DoS) attacks. A novel observer and Q-learning method achieve optimal synchronization within a prescribed time, ensuring system stability and performance.

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    Area of Science:

    • Control Systems Engineering
    • Artificial Intelligence
    • Network Security

    Background:

    • Multiagent systems (MASs) are vulnerable to denial-of-service (DoS) attacks disrupting communication links.
    • Human-in-the-loop (HiTL) control offers enhanced system governance but requires robust synchronization strategies.
    • Prescribed-time (PT) control aims for convergence within a user-defined finite time, crucial for time-sensitive applications.

    Purpose of the Study:

    • To address the prescribed-time (PT) optimal synchronization control for MASs under link-based DoS attacks.
    • To develop a distributed observer capable of estimating leader output within PT under switching topologies.
    • To implement a model-free Q-learning algorithm for optimal policy learning with reduced computational load.

    Main Methods:

    • A fully distributed observer with a prescribed finite-time function is proposed for follower agents.
    • An augmented system combines follower dynamics with the observer for stability analysis.
    • A single-critic neural network (NN) Q-learning algorithm, trained via least-squares, is employed for policy optimization.

    Main Results:

    • The proposed observer guarantees global practical PT convergence with bounded gain, independent of global topology.
    • The Q-learning algorithm demonstrates convergence of Q-functions, enabling optimal synchronization policy learning.
    • Simulation results validate the efficacy of the developed control scheme against DoS attacks.

    Conclusions:

    • The study successfully develops a PT HiTL optimal synchronization control for MASs under DoS attacks.
    • The proposed observer and Q-learning approach provide a robust and computationally efficient solution.
    • The findings contribute to enhancing the resilience and performance of MASs in adversarial environments.