{"title":"Consensus of fractional-order linear systems","authors":"Chao Song, Jinde Cao","doi":"10.1109/ASCC.2013.6606402","DOIUrl":null,"url":null,"abstract":"This paper studies the consensus control problem for a group of fractional-order linear multi-agent systems (MAS) with directed interaction topology when the fractional order α satisfies 0 <; α <; 2, by transforming it into the stability of a set of matrices. Based on the stability theory of fractional-order system, some sufficient and necessary conditions are presented to ensure the consensus of MAS in terms of linear matrix inequalities, and the feedback matrix of the proposed protocol is also determined accordingly.","PeriodicalId":6304,"journal":{"name":"2013 9th Asian Control Conference (ASCC)","volume":"70 1","pages":"1-4"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 9th Asian Control Conference (ASCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ASCC.2013.6606402","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 15
Abstract
This paper studies the consensus control problem for a group of fractional-order linear multi-agent systems (MAS) with directed interaction topology when the fractional order α satisfies 0 <; α <; 2, by transforming it into the stability of a set of matrices. Based on the stability theory of fractional-order system, some sufficient and necessary conditions are presented to ensure the consensus of MAS in terms of linear matrix inequalities, and the feedback matrix of the proposed protocol is also determined accordingly.
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