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    This study introduces an observer-based asynchronous stabilization method for networked systems facing multichannel attacks. The approach ensures system stability despite unknown attack modes using advanced Markov chain models and Lyapunov functions.

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    Area of Science:

    • Control Systems Engineering
    • Network Security
    • Stochastic Systems

    Background:

    • Networked systems (NS) are vulnerable to multichannel attacks.
    • Asynchronous phenomena, like controller-mode/attack-mode mismatches, complicate stabilization.
    • Accurate modeling of complex, time-varying attack behaviors is challenging.

    Purpose of the Study:

    • To develop an observer-based asynchronous stabilization method for NS under multichannel attacks.
    • To address the challenge of inaccessible actual attack modes.
    • To establish a stability criterion for systems under complex attack scenarios.

    Main Methods:

    • Utilized a piecewise homogeneous semi-Markov chain (SMC) model modulated by a superstratum Markov chain to capture attack dynamics.
    • Designed an observer-based mode switching delay technique to handle unknown attack modes.
    • Employed a Lyapunov function dependent on observed modes, piecewise homogeneous variables, and ET for stability analysis.
    • Applied matrix decoupling and convexification to reduce computational complexity.

    Main Results:

    • Established a sufficient criterion for ς-error mean-square stability under random multichannel Denial-of-Service (DoS) attacks.
    • Demonstrated reduced computational complexity through matrix decoupling and convexification.
    • Validated the proposed method's effectiveness via two practical simulation cases.

    Conclusions:

    • The proposed observer-based asynchronous stabilization method effectively ensures system stability under multichannel attacks.
    • The advanced SMC model accurately depicts complex attack behaviors.
    • The technique provides a robust solution for securing networked systems against sophisticated cyber threats.