{"title":"Primal and dual stability criteria for systems with time-varying gains","authors":"U. Jönsson","doi":"10.1109/ACC.2011.5991231","DOIUrl":null,"url":null,"abstract":"Primal and dual stability criteria are derived for systems with uncertain or time-varying components that can be characterized using mixed multipliers. The constant part of the multiplier is used to model time-varying components while the frequency varying multiplier is used to model linear time-invariant uncertainties. It is shown that the dual criterion sometimes reduces to easy-to-use criteria that reveal the structure of the problem.","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"35 1","pages":"4354-4360"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the ... American Control Conference. American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.2011.5991231","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
Primal and dual stability criteria are derived for systems with uncertain or time-varying components that can be characterized using mixed multipliers. The constant part of the multiplier is used to model time-varying components while the frequency varying multiplier is used to model linear time-invariant uncertainties. It is shown that the dual criterion sometimes reduces to easy-to-use criteria that reveal the structure of the problem.
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