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H∞ Exponential Synchronization of Complex Networks: Aperiodic Sampled-Data-Based Event-Triggered Control.

Jiarong Li, Haijun Jiang, Jinling Wang

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    This study addresses H∞ exponential synchronization in complex networks using event-triggered sampled-data control. The proposed method reduces network traffic while maintaining system performance.

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    Area of Science:

    • Control Systems Engineering
    • Network Science
    • Applied Mathematics

    Background:

    • Complex networks are crucial in various fields, but their control is challenging.
    • Quantized control and sampled-data systems introduce complexities in synchronization.
    • Event-triggered schemes aim to optimize network resource utilization.

    Purpose of the Study:

    • To investigate the H∞ exponential synchronization problem for complex networks with quantized control input.
    • To develop an aperiodic sampled-data-based event-triggered scheme.
    • To reduce network workload while ensuring synchronization performance.

    Main Methods:

    • Utilizing a discrete-time Lyapunov theorem for sampled-data control problems.
    • Developing a novel method to address the complexities of sampled-data synchronization.
    • Deriving sufficient conditions for H∞ exponential synchronization.

    Main Results:

    • Established several sufficient conditions to guarantee H∞ exponential synchronization.
    • Demonstrated significant reduction in transmitted signals through numerical simulations.
    • Validated the effectiveness of the proposed event-triggered control scheme.

    Conclusions:

    • The proposed aperiodic sampled-data event-triggered control scheme effectively achieves H∞ exponential synchronization.
    • The method conserves network resources by minimizing signal transmission.
    • The findings are applicable to the design of efficient control systems for complex networks.