{"title":"Linear Programming-Based Consensus of Positive Continuous-Time Multi-Agent Systems","authors":"Junfeng Zhang;Fengyu Lin;Shihong Ding;Wei Xing","doi":"10.1109/JAS.2024.124716","DOIUrl":null,"url":null,"abstract":"Dear Editor, This letter deals with the consensus of positive multi-agent systems (PMASs). A consensus protocol is proposed by introducing a finite consensus point. An error is defined as the differences in the linear combination of the agent states, the agent states, and the finite consensus point. Under the consensus protocol, an error system is constructed, and it refers to the error term and the finite consensus point. A linear programming (LP)-based equation is given to remove the dependence of the finite consensus point. By virtue of the property of a directed graph, an error-independent system is obtained. A copositive Lyapunov function (CLF) is used to derive the consensus of the systems.","PeriodicalId":54230,"journal":{"name":"Ieee-Caa Journal of Automatica Sinica","volume":"11 12","pages":"2519-2521"},"PeriodicalIF":15.3000,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10759563","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ieee-Caa Journal of Automatica Sinica","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10759563/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
Dear Editor, This letter deals with the consensus of positive multi-agent systems (PMASs). A consensus protocol is proposed by introducing a finite consensus point. An error is defined as the differences in the linear combination of the agent states, the agent states, and the finite consensus point. Under the consensus protocol, an error system is constructed, and it refers to the error term and the finite consensus point. A linear programming (LP)-based equation is given to remove the dependence of the finite consensus point. By virtue of the property of a directed graph, an error-independent system is obtained. A copositive Lyapunov function (CLF) is used to derive the consensus of the systems.
期刊介绍:
The IEEE/CAA Journal of Automatica Sinica is a reputable journal that publishes high-quality papers in English on original theoretical/experimental research and development in the field of automation. The journal covers a wide range of topics including automatic control, artificial intelligence and intelligent control, systems theory and engineering, pattern recognition and intelligent systems, automation engineering and applications, information processing and information systems, network-based automation, robotics, sensing and measurement, and navigation, guidance, and control.
Additionally, the journal is abstracted/indexed in several prominent databases including SCIE (Science Citation Index Expanded), EI (Engineering Index), Inspec, Scopus, SCImago, DBLP, CNKI (China National Knowledge Infrastructure), CSCD (Chinese Science Citation Database), and IEEE Xplore.