Fixed-time cluster scaled consensus for multi-agent systems with only cooperative communication

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-21 DOI:10.1016/j.cnsns.2025.109319

Xiaohan Wang , Zhiyong Yu , Haijun Jiang

{"title":"Fixed-time cluster scaled consensus for multi-agent systems with only cooperative communication","authors":"Xiaohan Wang , Zhiyong Yu , Haijun Jiang","doi":"10.1016/j.cnsns.2025.109319","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the distributed fixed-time cluster scaled consensus problem of multi-agent systems (MASs). Unlike the existing literature on cluster consensus, which posits a scenario where both competition and cooperation coexist among clusters, we consider a fully cooperative relationship between any two distinct agents. Initially, we explore the scaled consensus of MASs with two clusters and propose a distributed control protocol. By utilizing fixed-time stability theory, some conditions are obtained for MASs achieving cluster scaled consensus within a fixed-time. We then extend our analysis to the case involving multiple clusters and provide a general control protocol. Furthermore, we prove that the MASs composed of multiple clusters can also achieve cluster scaled consensus within a fixed-time. Building upon this, to reduce the communication frequency, an event-triggered protocol is introduced for MASs with multiple clusters, ensuring the avoidance of Zeno behavior. Finally, several numerical simulations are provided to validate the effectiveness of our theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109319"},"PeriodicalIF":3.8000,"publicationDate":"2025-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425007282","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

Abstract

This paper investigates the distributed fixed-time cluster scaled consensus problem of multi-agent systems (MASs). Unlike the existing literature on cluster consensus, which posits a scenario where both competition and cooperation coexist among clusters, we consider a fully cooperative relationship between any two distinct agents. Initially, we explore the scaled consensus of MASs with two clusters and propose a distributed control protocol. By utilizing fixed-time stability theory, some conditions are obtained for MASs achieving cluster scaled consensus within a fixed-time. We then extend our analysis to the case involving multiple clusters and provide a general control protocol. Furthermore, we prove that the MASs composed of multiple clusters can also achieve cluster scaled consensus within a fixed-time. Building upon this, to reduce the communication frequency, an event-triggered protocol is introduced for MASs with multiple clusters, ensuring the avoidance of Zeno behavior. Finally, several numerical simulations are provided to validate the effectiveness of our theoretical results.

查看原文本刊更多论文

仅具有协作通信的多智能体系统的固定时间集群规模一致性

研究了多智能体系统（MASs）的分布式固定时间集群规模一致性问题。与现有关于集群共识的文献假设集群之间竞争与合作并存的情况不同，我们考虑了任意两个不同代理之间的完全合作关系。首先，我们探索了两个集群的规模共识，并提出了一个分布式控制协议。利用定时稳定性理论，得到了质量在一定时间内达到集群规模一致性的一些条件。然后，我们将分析扩展到涉及多个集群的情况，并提供一个通用控制协议。此外，我们还证明了由多个星团组成的质量也可以在固定时间内达到星团规模的共识。在此基础上，为了降低通信频率，为具有多个集群的MASs引入了事件触发协议，以确保避免芝诺行为。最后，通过数值模拟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。

求助全文

约1分钟内获得全文求助全文

来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.