{"title":"Cayley-Hamilton定理在分数阶线性系统中的推广","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":"{\"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}","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}
Extensions of the Cayley-Hamilton Theorem to Fractional Linear Systems
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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