{"title":"Stability of balanced time-variable system approximations","authors":"S. Shokoohi, L. Silverman, P. Dooren","doi":"10.1109/CDC.1980.271847","DOIUrl":null,"url":null,"abstract":"A uniformly balanced realization for time-varying systems is defined. Such a framework has many remarkable properties and leads to a natural setting for performing model reduction. It turns out that in many cases a reduced model preserves the properties of the original model. In this paper stability of the reduced systems is fully explored.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"211 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","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.1980.271847","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
A uniformly balanced realization for time-varying systems is defined. Such a framework has many remarkable properties and leads to a natural setting for performing model reduction. It turns out that in many cases a reduced model preserves the properties of the original model. In this paper stability of the reduced systems is fully explored.
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