{"title":"平面开关正线性系统的指数衰减率","authors":"Wenxiu Zhao, Yuangong Sun","doi":"10.23919/ICCAS.2017.8204397","DOIUrl":null,"url":null,"abstract":"This paper is focused on the estimation of exponential decay rate of planar switched positive linear systems via common linear copositive Lyapunov functions. An exact exponential decay rate for all the state trajectories of the system under arbitrary switching has been given in terms of the minimal eigenvalue of some matrices related to system matrices. Finally, a numerical example illustrates the main result of this paper.","PeriodicalId":140598,"journal":{"name":"2017 17th International Conference on Control, Automation and Systems (ICCAS)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exponential decay rate of planar switched positive linear systems\",\"authors\":\"Wenxiu Zhao, Yuangong Sun\",\"doi\":\"10.23919/ICCAS.2017.8204397\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is focused on the estimation of exponential decay rate of planar switched positive linear systems via common linear copositive Lyapunov functions. An exact exponential decay rate for all the state trajectories of the system under arbitrary switching has been given in terms of the minimal eigenvalue of some matrices related to system matrices. Finally, a numerical example illustrates the main result of this paper.\",\"PeriodicalId\":140598,\"journal\":{\"name\":\"2017 17th International Conference on Control, Automation and Systems (ICCAS)\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 17th International Conference on Control, Automation and Systems (ICCAS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/ICCAS.2017.8204397\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 17th International Conference on Control, Automation and Systems (ICCAS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ICCAS.2017.8204397","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential decay rate of planar switched positive linear systems
This paper is focused on the estimation of exponential decay rate of planar switched positive linear systems via common linear copositive Lyapunov functions. An exact exponential decay rate for all the state trajectories of the system under arbitrary switching has been given in terms of the minimal eigenvalue of some matrices related to system matrices. Finally, a numerical example illustrates the main result of this paper.
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