间歇性噪声下随机切换领导-跟随多智能体系统的指数一致性

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 : 2025-08-05 DOI:10.1016/j.jfranklin.2025.107949

Xiuli He , Huiyan Zhang , Xuan Qiu

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引用次数: 0

摘要

本文主要研究随机交换领导-跟随多智能体系统的集体行为。通过交互图描述相邻agent之间的通信和信息交换。我们采用反馈控制器和间歇噪声方案来达到系统的一致性。讨论了白噪声的产生机理及其对系统的影响。利用图论和比较原理得到了LMASs的指数一致阈值。此外，我们还考虑了噪声的时间延迟，并通过超越函数推导了噪声的最大延迟。最后，通过仿真验证了Lorenz混沌系统所提出的新方法的有效性和可行性。

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Exponential consensus of stochastic switched leader-following multi-agent systems via intermittent noise

This paper is essentially concerned with the collective behavior of stochastic switched leader-following multi-agent systems (LMASs). The communication and information exchanging among neighbouring agents are described by interaction graph. We adopt the feedback controller and intermittent noise scheme to achieve consensus of the systems. We also discuss the mechanism of white noise and its affects on the systems. We obtain the threshold of exponential consensus of the LMASs by graph theory and comparison principle. Moreover, we consider the time delays of noise and derive its maximum delay by a transcendental function. Finally, a simulation shows the effectiveness and feasibility of the new methods developed in this paper by Lorenz chaotic systems.

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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.