{"title":"Quadratic Stabilization and Transit Problems for Switched Linear Systems via State Feedback","authors":"N. Otsuka, Shota Sekiguchi","doi":"10.1109/MCSI.2016.033","DOIUrl":null,"url":null,"abstract":"In this paper, two transit problems which pass through the ε-neighborhood of some given objective states in turn from an arbitrary initial state will be studied for both continuous-time and discrete-time switched linear systems with constant input. At first the quadratic stabilization problem for continuous-time switched linear systems with constant input will be investigated. Next, the same problem for discrete-time switched linear systems with constant input will be studied. After that two ε-transit problems by using switched linear systems with constant input via state-dependent switching will be formulated, and then solvability conditions will be given. Further, two illustrative numerical examples will be shown.","PeriodicalId":421998,"journal":{"name":"2016 Third International Conference on Mathematics and Computers in Sciences and in Industry (MCSI)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Third International Conference on Mathematics and Computers in Sciences and in Industry (MCSI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MCSI.2016.033","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, two transit problems which pass through the ε-neighborhood of some given objective states in turn from an arbitrary initial state will be studied for both continuous-time and discrete-time switched linear systems with constant input. At first the quadratic stabilization problem for continuous-time switched linear systems with constant input will be investigated. Next, the same problem for discrete-time switched linear systems with constant input will be studied. After that two ε-transit problems by using switched linear systems with constant input via state-dependent switching will be formulated, and then solvability conditions will be given. Further, two illustrative numerical examples will be shown.
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