{"title":"有符号图上 Lurie 多代理系统的两方共识问题：一种收缩方法","authors":"Xiaojiao Zhang, Xiang Wu","doi":"10.1088/1674-1056/ad3dca","DOIUrl":null,"url":null,"abstract":"\n This paper examines the bipartite consensus problems for the nonlinear multi-agent systems in Lurie dynamics form with cooperative and competitive communication between different agents. Based on the contraction theory, some new conditions for the nonlinear Lurie multi-agent systems reaching bipartite leaderless consensus and bipartite tracking consensus are presented, respectively. Compared with the traditional methods, this approach degrades the dimensions of the conditions, eliminates some restrictions of the system matrix and extends the range of the nonlinear function. Finally, two numerical examples are provided to illustrate the efficiency of our results.","PeriodicalId":10253,"journal":{"name":"Chinese Physics B","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach\",\"authors\":\"Xiaojiao Zhang, Xiang Wu\",\"doi\":\"10.1088/1674-1056/ad3dca\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n This paper examines the bipartite consensus problems for the nonlinear multi-agent systems in Lurie dynamics form with cooperative and competitive communication between different agents. Based on the contraction theory, some new conditions for the nonlinear Lurie multi-agent systems reaching bipartite leaderless consensus and bipartite tracking consensus are presented, respectively. Compared with the traditional methods, this approach degrades the dimensions of the conditions, eliminates some restrictions of the system matrix and extends the range of the nonlinear function. Finally, two numerical examples are provided to illustrate the efficiency of our results.\",\"PeriodicalId\":10253,\"journal\":{\"name\":\"Chinese Physics B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chinese Physics B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1674-1056/ad3dca\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Physics B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1674-1056/ad3dca","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach
This paper examines the bipartite consensus problems for the nonlinear multi-agent systems in Lurie dynamics form with cooperative and competitive communication between different agents. Based on the contraction theory, some new conditions for the nonlinear Lurie multi-agent systems reaching bipartite leaderless consensus and bipartite tracking consensus are presented, respectively. Compared with the traditional methods, this approach degrades the dimensions of the conditions, eliminates some restrictions of the system matrix and extends the range of the nonlinear function. Finally, two numerical examples are provided to illustrate the efficiency of our results.
期刊介绍：
Chinese Physics B is an international journal covering the latest developments and achievements in all branches of physics worldwide (with the exception of nuclear physics and physics of elementary particles and fields, which is covered by Chinese Physics C). It publishes original research papers and rapid communications reflecting creative and innovative achievements across the field of physics, as well as review articles covering important accomplishments in the frontiers of physics.
Subject coverage includes:
Condensed matter physics and the physics of materials
Atomic, molecular and optical physics
Statistical, nonlinear and soft matter physics
Plasma physics
Interdisciplinary physics.
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