{"title":"通信延迟下二阶多智能体系统的一致性","authors":"Chenglin Liu, Fei Liu","doi":"10.1109/CCDC.2010.5498912","DOIUrl":null,"url":null,"abstract":"In this paper, the leader-following consensus problem is investigated for the second-order multi-agent systems with communication delay. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions, consensus conditions in the form of linear matrix inequality (LMI) are obtained for the system with time-varying communication delays and static interconnection topology converging to the leader's states respectively. In addition, by constructing Lyapunov-Krasovskii functional, delay-dependent consensus condition in the form of LMI is also obtained for the system with time-invariant communication delay and switching topology. Simulation results illustrate the correctness of the results.","PeriodicalId":227938,"journal":{"name":"2010 Chinese Control and Decision Conference","volume":"333 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Consensus of second-order multi-agent systems under communication delay\",\"authors\":\"Chenglin Liu, Fei Liu\",\"doi\":\"10.1109/CCDC.2010.5498912\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the leader-following consensus problem is investigated for the second-order multi-agent systems with communication delay. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions, consensus conditions in the form of linear matrix inequality (LMI) are obtained for the system with time-varying communication delays and static interconnection topology converging to the leader's states respectively. In addition, by constructing Lyapunov-Krasovskii functional, delay-dependent consensus condition in the form of LMI is also obtained for the system with time-invariant communication delay and switching topology. Simulation results illustrate the correctness of the results.\",\"PeriodicalId\":227938,\"journal\":{\"name\":\"2010 Chinese Control and Decision Conference\",\"volume\":\"333 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Chinese Control and Decision Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCDC.2010.5498912\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Chinese Control and Decision Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCDC.2010.5498912","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Consensus of second-order multi-agent systems under communication delay
In this paper, the leader-following consensus problem is investigated for the second-order multi-agent systems with communication delay. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions, consensus conditions in the form of linear matrix inequality (LMI) are obtained for the system with time-varying communication delays and static interconnection topology converging to the leader's states respectively. In addition, by constructing Lyapunov-Krasovskii functional, delay-dependent consensus condition in the form of LMI is also obtained for the system with time-invariant communication delay and switching topology. Simulation results illustrate the correctness of the results.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
