{"title":"Geometric structures of stable state feedback systems","authors":"A. Ohara, T. Kitamori","doi":"10.1109/CDC.1990.204076","DOIUrl":null,"url":null,"abstract":"A parameterization of the set of all stabilizing state feedback gains is given, and a geometric structure of the set of stable state feedback systems in the set of stable matrices is used. It is shown that it is natural to provide these sets with a vector bundle structure. Obtained results not only provide fundamental guidelines for designing state feedback gains using parameterization, but also a new approach to analyzing structures of linear stable systems.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"27","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"29th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1990.204076","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 27
Abstract
A parameterization of the set of all stabilizing state feedback gains is given, and a geometric structure of the set of stable state feedback systems in the set of stable matrices is used. It is shown that it is natural to provide these sets with a vector bundle structure. Obtained results not only provide fundamental guidelines for designing state feedback gains using parameterization, but also a new approach to analyzing structures of linear stable systems.<>
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