{"title":"Universal formulas for CLFs with respect to Minkowski balls","authors":"Michael A. Malisoff, Eduardo Sontag","doi":"10.1109/ACC.1999.782318","DOIUrl":null,"url":null,"abstract":"This note provides explicit, algebraic stabilizing formulas for control Lyapunov functions when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein (1995), but the proof of Artstein's theorem is nonconstructive. The formulas are used to construct approximation solutions to some stabilization problems.","PeriodicalId":441363,"journal":{"name":"Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1999.782318","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
Abstract
This note provides explicit, algebraic stabilizing formulas for control Lyapunov functions when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein (1995), but the proof of Artstein's theorem is nonconstructive. The formulas are used to construct approximation solutions to some stabilization problems.
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