{"title":"Slow and fast stability in singular systems","authors":"J. Cobb","doi":"10.1109/CDC.1984.272334","DOIUrl":null,"url":null,"abstract":"We consider the problem of robust feedback control of LTI systems in the presence of parasitics. An essential related concept is that of fast stability -- a type of stability characterizing parasitics or high-frequency effects. A rigorous definition of fast stability is formulated in terms of topologies on a certain differentiable manifold and is connected with the robust feedback problem. A generic solution is given along with illustrative examples.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"82 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272334","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
We consider the problem of robust feedback control of LTI systems in the presence of parasitics. An essential related concept is that of fast stability -- a type of stability characterizing parasitics or high-frequency effects. A rigorous definition of fast stability is formulated in terms of topologies on a certain differentiable manifold and is connected with the robust feedback problem. A generic solution is given along with illustrative examples.
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