{"title":"On leaderless consensus of incommensurate order multi-agent systems","authors":"Fei Wang, Chuan Zhang, Ning Li, Yongqing Yang","doi":"10.1177/09596518231204053","DOIUrl":null,"url":null,"abstract":"This article concerns the leaderless consensus problem of incommensurate-order multi-agent systems. First, a detailed analysis of the consensus between two agents with incommensurate order is shown. From this, one can conclude that consensus behavior exists in such cases. Furthermore, the initial value of the agent with a lower order will decide the consensus state. Second, a general incommensurate order multi-agent system is investigated under the directed ring topology, and the results imply that the consensus behavior also exists in such a topology. At the same time, the initial values of the agent with minimum order will determine the consensus state. Finally, some numerical examples are given to show the effectiveness of the aforementioned theoretical results. In addition, several attempts are given just by simulations when the topology is undirected and connected, and some discussions are conducted in the end.","PeriodicalId":20638,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","volume":"54 2","pages":"0"},"PeriodicalIF":1.4000,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/09596518231204053","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This article concerns the leaderless consensus problem of incommensurate-order multi-agent systems. First, a detailed analysis of the consensus between two agents with incommensurate order is shown. From this, one can conclude that consensus behavior exists in such cases. Furthermore, the initial value of the agent with a lower order will decide the consensus state. Second, a general incommensurate order multi-agent system is investigated under the directed ring topology, and the results imply that the consensus behavior also exists in such a topology. At the same time, the initial values of the agent with minimum order will determine the consensus state. Finally, some numerical examples are given to show the effectiveness of the aforementioned theoretical results. In addition, several attempts are given just by simulations when the topology is undirected and connected, and some discussions are conducted in the end.
期刊介绍:
Systems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering refleSystems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering reflects this diversity by giving prominence to experimental application and industrial studies.
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This journal is a member of the Committee on Publication Ethics (COPE).cts this diversity by giving prominence to experimental application and industrial studies.