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Synchronization Control for a Class of Discrete-Time Dynamical Networks With Packet Dropouts: A Coding-Decoding-Based

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    This study introduces a coding-decoding approach for discrete-time dynamical networks with packet dropouts, ensuring synchronization control through an efficient decoder-based protocol.

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    Area of Science:

    • Control Systems Engineering
    • Networked Dynamical Systems
    • Information Theory

    Background:

    • Synchronization control is crucial for networked systems.
    • Packet dropouts in communication channels pose a significant challenge.
    • Existing methods may not adequately address discrete-time networks with data loss.

    Purpose of the Study:

    • To develop a coding-decoding strategy for synchronization control in discrete-time networks with packet dropouts.
    • To design a decoder-based control protocol ensuring network synchronization.
    • To establish criteria for network detectability under transmission uncertainties.

    Main Methods:

    • A coding-decoding-based approach utilizing finite coded signals.
    • Modeling packet dropouts using independent Bernoulli random variables.
    • Applying modified uniform quantization and Kronecker product techniques.
    • Employing input-to-state stability theory for controller design.

    Main Results:

    • Criteria for network detectability established based on coding parameters and dropout probability.
    • Controller parameters derived from solvable inequality constraints.
    • Demonstrated effectiveness through two simulation examples.

    Conclusions:

    • The proposed coding-decoding approach effectively achieves synchronization control in discrete-time networks with packet dropouts.
    • The method provides a robust framework for designing controllers under communication uncertainties.
    • The results offer practical insights for real-world networked systems facing data loss.