{"title":"Extensions of the Cayley-Hamilton Theorem to Fractional Linear Systems","authors":"T. Kaczorek","doi":"10.1109/MMAR.2018.8486030","DOIUrl":null,"url":null,"abstract":"The classical Cayley-Hamilton theorem is extended to fractional continuous-time linear systems. For single fractional order system the Cayley-Hamilton theorem is extended to basic continuous-time functions determining the solution of the system. The Cayley-Hamilton theorem is also extended to different orders fractional linear systems.","PeriodicalId":201658,"journal":{"name":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2018.8486030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The classical Cayley-Hamilton theorem is extended to fractional continuous-time linear systems. For single fractional order system the Cayley-Hamilton theorem is extended to basic continuous-time functions determining the solution of the system. The Cayley-Hamilton theorem is also extended to different orders fractional linear systems.
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