{"title":"Reachability and controllability to zero of positive fractional discrete-time systems","authors":"T. Kaczorek","doi":"10.23919/ECC.2007.7068247","DOIUrl":null,"url":null,"abstract":"A notion of positive fractional discrete-time system is introduced. Necessary and sufficient conditions are established for the positivity, reachability and controllability to zero of fractional discrete-time linear systems. The classical Cayley-Hamilton theorem is extended for the positive fractional systems.","PeriodicalId":407048,"journal":{"name":"2007 European Control Conference (ECC)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"86","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 European Control Conference (ECC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ECC.2007.7068247","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 86
Abstract
A notion of positive fractional discrete-time system is introduced. Necessary and sufficient conditions are established for the positivity, reachability and controllability to zero of fractional discrete-time linear systems. The classical Cayley-Hamilton theorem is extended for the positive fractional systems.
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