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The Event-Triggered Impulsive Controls for Quasisynchronization of the Leader-Following Heterogeneous Dynamical

Wen Sun, Biwen Li, Ailong Wu

    IEEE Transactions on Cybernetics
    |April 19, 2022
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    Summary

    This study introduces event-triggered impulsive controls for heterogeneous networks, reducing resource use. These controls achieve approximate synchronization in leader-following systems, improving efficiency over time-triggered methods.

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    Area of Science:

    • Complex Systems
    • Control Theory
    • Network Science

    Background:

    • Time-triggered impulsive controls offer low cost but are resource-intensive for homogeneous networks.
    • Quasisynchronization in leader-following heterogeneous networks requires efficient control strategies.
    • Existing methods often conservatively occupy communication channels.

    Purpose of the Study:

    • To design event-triggered impulsive control strategies for quasisynchronization in leader-following heterogeneous dynamical networks.
    • To reduce communication resource occupation compared to traditional time-triggered approaches.
    • To enable approximate synchronization within a defined error bound.

    Main Methods:

    • Development of centralized and distributed event-triggered impulsive control algorithms.
    • Impulsive instants triggered by global or local state-dependent conditions.
    • Analysis of leader-following heterogeneous dynamical networks.

    Main Results:

    • Event-triggered impulsive controls successfully achieve quasisynchronization.
    • Significant reduction in communication resource occupation demonstrated.
    • Proposed methods ensure synchronization error remains within a specified nonzero bound.

    Conclusions:

    • Event-triggered impulsive control is an effective and resource-efficient strategy for heterogeneous network synchronization.
    • The designed controllers provide approximate synchronization with bounded errors.
    • This approach offers a practical advancement over time-triggered methods in networked systems.