{"title":"Generalized balanced stochastic truncation","authors":"M. Green, Brian D. O. Anderson","doi":"10.1109/CDC.1990.203644","DOIUrl":null,"url":null,"abstract":"A modification of the balanced stochastic truncation method for relative error model reduction is introduced. The method is shown to satisfy an infinity norm bound on the relative error between the full order and the reduced order models. The discrete time balanced stochastic truncation algorithm is at the heart of the new method, and a relative error bound for this algorithm is derived.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"189 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"29th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1990.203644","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
A modification of the balanced stochastic truncation method for relative error model reduction is introduced. The method is shown to satisfy an infinity norm bound on the relative error between the full order and the reduced order models. The discrete time balanced stochastic truncation algorithm is at the heart of the new method, and a relative error bound for this algorithm is derived.<>
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