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Synchronization of Coupled Harmonic Oscillators With Asynchronous Intermittent Communication.

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    This study introduces an event-triggered control strategy for coupled harmonic oscillators (CHOs) to achieve synchronization. The novel asynchronous protocol enhances efficiency by reducing communication frequency, ensuring system stability.

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    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Nonlinear Dynamics

    Background:

    • Coupled harmonic oscillators (CHOs) are fundamental in modeling complex systems.
    • Achieving synchronization in CHOs is crucial for various applications.
    • Event-triggered control offers potential for reduced communication load.

    Purpose of the Study:

    • To investigate the synchronization of CHOs using an event-triggered control strategy.
    • To develop a novel asynchronous control protocol for information exchange.
    • To analyze system stability using established control theory techniques.

    Main Methods:

    • Application of the small-gain technique to analyze feedback interconnections.
    • Utilization of integral quadratic constraints (IQCs) for input-output analysis.
    • Development of a novel event-triggered control protocol for asynchronous communication.

    Main Results:

    • The proposed control protocol enables asynchronous information exchange among CHOs.
    • Stability conditions for the closed-loop system are derived using small-gain and IQCs.
    • Simulation results validate the effectiveness of the developed algorithms.

    Conclusions:

    • The event-triggered control strategy effectively achieves synchronization in CHOs.
    • The asynchronous protocol enhances communication efficiency.
    • The theoretical analysis confirms the stability of the proposed system.