{"title":"On generalized balanced realizations","authors":"E. Verriest, T. Kailath","doi":"10.1109/CDC.1980.271848","DOIUrl":null,"url":null,"abstract":"The class of analytic time varying linear systems is considered. Different balanced realizations of such systems are defined, and their existence and properties analyzed. The results are then used to derive reduced order approximations (also for unstable systems). A method is suggested to determine the order of a \"good\" approximation.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"120","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1980.271848","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 120
Abstract
The class of analytic time varying linear systems is considered. Different balanced realizations of such systems are defined, and their existence and properties analyzed. The results are then used to derive reduced order approximations (also for unstable systems). A method is suggested to determine the order of a "good" approximation.
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