{"title":"基于状态反馈的切换线性系统二次镇定与传递问题","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":"{\"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}","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}
Quadratic Stabilization and Transit Problems for Switched Linear Systems via State Feedback
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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