文献类型：期刊文献

英文题名：On leaderless consensus of incommensurate order multi-agent systems

作者：Wang, Fei[1,4];Zhang, Chuan[1];Li, Ning[2];Yang, Yongqing[3]

第一作者：Wang, Fei

通讯作者：Wang, F[1]

机构：[1]Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China;[2]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou, Peoples R China;[3]Jiangnan Univ, Sch Sci, Wuxi, Peoples R China;[4]Qufu Normal Univ, Sch Math Sci, Shandong 273165, Peoples R China

第一机构：Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China

通讯机构：[1]corresponding author), Qufu Normal Univ, Sch Math Sci, Shandong 273165, Peoples R China.

年份：2023

外文期刊名：PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING

收录：;EI(收录号：20234515040205);WOS:【SCI-EXPANDED(收录号:WOS:001096929100001)】；

基金：The authors thank the anonymous reviewers for their careful reading and constructive comments.

语种：英文

外文关键词：Fractional order multi-agent systems; leaderless consensus; incommensurate order

摘要：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.