{"title":"Popov absolute stability criterion for time-varying multivariable nonlinear systems","authors":"Pierre-Alexandre Blirnan, A. Krasnosel'skii","doi":"10.23919/ECC.1999.7099739","DOIUrl":null,"url":null,"abstract":"This paper extends in a simple way the classical absolute stability Popov criterion to multivariable rational systems with time-varying memoryless nonlinearities subject to sea or conditions. The proposed sufficient conditions are expressed in terms of easy-to-check Linear Matrix Inequalities, or under frequency-domain form well-suited for robustness issues, and lead to simple graphical interpretations. Apart from the usual conditions, the results assume basically a sector condition on the derivative of the nonlinearities with respect to time. Results for local and global stability are given.","PeriodicalId":117668,"journal":{"name":"1999 European Control Conference (ECC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1999 European Control Conference (ECC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ECC.1999.7099739","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
This paper extends in a simple way the classical absolute stability Popov criterion to multivariable rational systems with time-varying memoryless nonlinearities subject to sea or conditions. The proposed sufficient conditions are expressed in terms of easy-to-check Linear Matrix Inequalities, or under frequency-domain form well-suited for robustness issues, and lead to simple graphical interpretations. Apart from the usual conditions, the results assume basically a sector condition on the derivative of the nonlinearities with respect to time. Results for local and global stability are given.