{"title":"正分数阶离散时间系统的可达性和对零的可控性","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":"{\"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}","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}
Reachability and controllability to zero of positive fractional discrete-time systems
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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