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    Area of Science:

    • Control Theory
    • Networked Systems
    • Cybersecurity

    Background:

    • Multiagent systems are susceptible to malicious attacks compromising their coordinated behavior.
    • Achieving resilient consensus under attacks requires robust state estimation and control strategies.
    • Existing methods often demand high communication connectivity, limiting practical applications.

    Purpose of the Study:

    • To develop an appointed-time observer-based framework for resilient consensus control in linear multiagent systems.
    • To address the challenge of unknown malicious attacks on system states.
    • To reduce communication requirements for achieving resilient consensus.

    Main Methods:

    • Design of a local appointed-time state observer for each agent to estimate states accurately despite attacks.
    • Proposal of a resilient control strategy using virtual systems and ideal state exchange.
    • Investigation of leader-follower resilient consensus with a trusted leader agent.

    Main Results:

    • The proposed observer effectively estimates agent states at an appointed time under malicious attacks.
    • The resilient control strategy facilitates consensus among normal agents through ideal state exchange.
    • The framework achieves resilient consensus with significantly reduced communication connectivity requirements (directed spanning tree).

    Conclusions:

    • The appointed-time observer-based framework provides an efficient solution for resilient consensus control in linear multiagent systems under attacks.
    • The leader-follower configuration ensures a specified consensus trajectory while maintaining resilience.
    • The reduced communication dependency enhances the practicality and scalability of the proposed approach.