A. E. Choque-Rivero, Omar Fabián González Hernández
{"title":"Stabilization via orthogonal polynomials","authors":"A. E. Choque-Rivero, Omar Fabián González Hernández","doi":"10.1109/ROPEC.2017.8261612","DOIUrl":null,"url":null,"abstract":"Let n be the dimension of the Brunovsky system. For n = 2m (respectively n = 2m + 1), we prove that every positive distribution on [0, ∞) that has at least n/2 points of increase on (0, ∞), (respectively (n + 1)/2 points of increase on [0, ∞) generates a positional control that stabilizes a family of Brunovsky systems of dimensions 1 ≤ k ≤ n.","PeriodicalId":260469,"journal":{"name":"2017 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ROPEC.2017.8261612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Let n be the dimension of the Brunovsky system. For n = 2m (respectively n = 2m + 1), we prove that every positive distribution on [0, ∞) that has at least n/2 points of increase on (0, ∞), (respectively (n + 1)/2 points of increase on [0, ∞) generates a positional control that stabilizes a family of Brunovsky systems of dimensions 1 ≤ k ≤ n.