{"title":"离散时间反线性系统的可控性与稳定性","authors":"A. Wu, G. Duan, Wanquan Liu, V. Sreeram","doi":"10.1109/AUCC.2013.6697307","DOIUrl":null,"url":null,"abstract":"In this paper, the discrete-time antilinear systems are investigated. Firstly, a closed-form expression for the state response of discrete-time antilinear systems is established. Secondly, the concepts of reachability and controllability are proposed for discrete-time antilinear systems. With the closed-form expression of the state reponse as tools, anti-Gram criteria for reachability are given. In addition, a matrix rank criteria for reachability and controllability is given for time-invariant antilinear systems. In addition, an anti-Lyapnov equation approach is given to check the stability of the time-invariant antilinear systems.","PeriodicalId":177490,"journal":{"name":"2013 Australian Control Conference","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Controllability and stability of discrete-time antilinear systems\",\"authors\":\"A. Wu, G. Duan, Wanquan Liu, V. Sreeram\",\"doi\":\"10.1109/AUCC.2013.6697307\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the discrete-time antilinear systems are investigated. Firstly, a closed-form expression for the state response of discrete-time antilinear systems is established. Secondly, the concepts of reachability and controllability are proposed for discrete-time antilinear systems. With the closed-form expression of the state reponse as tools, anti-Gram criteria for reachability are given. In addition, a matrix rank criteria for reachability and controllability is given for time-invariant antilinear systems. In addition, an anti-Lyapnov equation approach is given to check the stability of the time-invariant antilinear systems.\",\"PeriodicalId\":177490,\"journal\":{\"name\":\"2013 Australian Control Conference\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 Australian Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AUCC.2013.6697307\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 Australian Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AUCC.2013.6697307","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Controllability and stability of discrete-time antilinear systems
In this paper, the discrete-time antilinear systems are investigated. Firstly, a closed-form expression for the state response of discrete-time antilinear systems is established. Secondly, the concepts of reachability and controllability are proposed for discrete-time antilinear systems. With the closed-form expression of the state reponse as tools, anti-Gram criteria for reachability are given. In addition, a matrix rank criteria for reachability and controllability is given for time-invariant antilinear systems. In addition, an anti-Lyapnov equation approach is given to check the stability of the time-invariant antilinear systems.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
