基于事件触发间歇脉冲控制的延迟复杂网络同步

IF 4.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-26 DOI:10.1016/j.jfranklin.2025.108109

Fanghai Zhang , Changlin Zhan , Tingwen Huang , Zhigang Zeng

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引用次数: 0

摘要

在本文中，延迟复杂网络的同步是通过事件触发间歇脉冲控制（ETIIC）来实现的，它结合了事件触发、间歇和脉冲策略。利用Lyapunov方法和线性矩阵不等式（LMI），建立了保证复杂网络指数同步的几个充分条件。特别是在ETIIC下，建立了涉及脉冲强度、平均脉冲间隔、间歇控制参数和事件触发机制（ETM）阈值的条件，以保证指数同步，同时防止发生Zeno行为。此外，通过用时间触发代替事件触发，建立了保证复杂网络指数同步的其他充分条件。最后，通过两个算例验证了理论结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Synchronization of delayed complex networks via event-triggered intermittent impulsive control

In this article, the synchronization of delayed complex networks is achieved by event-triggered intermittent impulsive control (ETIIC), which incorporates event-triggered, intermittent, and impulsive strategies. By employing the Lyapunov method and linear matrix inequality (LMI), several sufficient conditions have been established to ensure exponential synchronization in complex networks. Particularly, under ETIIC, the conditions involving impulse strength, average impulse interval, intermittent control parameters, and the threshold value of the event-triggered mechanism (ETM) are established to ensure exponential synchronization while preventing the occurrence of Zeno behavior. Moreover, by replacing event-triggering with time-triggering, other sufficient conditions are established to ensure exponential synchronization in complex networks. Finally, the validity of the theoretical results is confirmed through two numerical examples.

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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.