切换图下波动PDE代理的一致性

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-04-12 DOI:10.1016/j.jfranklin.2025.107684

Yining Chen , Guoting Wang , Yongle Guo , Linying Xiang , Dandan Li , Zhiqiang Zuo

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引用次数: 0

摘要

研究了具有有向交换拓扑的无限维智能体网络的一致性问题。与一般的抛物型模型不同，本文研究了适用于柔性航天器群模型的网络波偏微分方程。在温和条件下，对底层系统提出了边界控制协议。随后，构造了一个新的公共Lyapunov函数以保证一致性，并对理论结果进行了详细的分析。利用半群理论和归纳法进一步研究了该方程的适定性。并通过数值算例验证了所得结果。

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Consensus of wave PDE agents under switching graphs

We investigate the consensus problem for a network of infinite-dimensional agents with directed switching topology. Different from the general parabolic-type agents, networked wave PDEs which are suitable to model a group of flexible spacecrafts are addressed in this paper. Under mild conditions, a boundary control protocol is proposed for the underlying system. Subsequently, a novel common Lyapunov function is constructed to guarantee consensus and detailed analysis of theoretical findings is obtained. The well-posedness is further considered with the help of semigroup theory and inductive method. Moreover, a numerical example is exhibited to support the derived results.

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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.