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    This study develops asynchronous sliding-mode control for networked systems with incomplete semi-Markov models and cyber attacks. The new method ensures system stability despite uncertainties and attacks.

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    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Stochastic Systems

    Background:

    • Networked systems face challenges from semi-Markov kernels (SMK) and cyber attacks.
    • Incomplete statistical information of SMK complicates control design.
    • Asynchronous situations arise from mode mismatches in control systems.

    Purpose of the Study:

    • To develop asynchronous sliding-mode control (SMC) for discrete-time networked hidden stochastic jump systems.
    • To address incomplete semi-Markov kernel (SMK) characteristics and cyber attacks, specifically denial-of-service attacks.
    • To ensure mean-square stability of the closed-loop system under asynchronous conditions.

    Main Methods:

    • Proposing a hidden semi-Markov model to capture asynchronous situations.
    • Developing stability analysis techniques using the upper bound of sojourn time for incomplete SMK.
    • Designing an asynchronous SMC scheme for quasi-sliding mode reachability.

    Main Results:

    • Achieved mean-square stability for the closed-loop system under asynchronous conditions and cyber attacks.
    • Successfully designed an asynchronous SMC mechanism based on an incomplete SMK framework.
    • Demonstrated the effectiveness of the proposed control strategy using an electronic throttle model.

    Conclusions:

    • The developed asynchronous SMC is effective for discrete-time networked hidden stochastic jump systems.
    • The proposed method provides a robust solution for systems with incomplete SMK and cyber attacks.
    • This research contributes to the stability analysis and control design of complex networked systems.