{"title":"标准和分数阶正线性系统的正系数转移矩阵","authors":"T. Kaczorek, L. Sajewski","doi":"10.1109/MMAR.2018.8485923","DOIUrl":null,"url":null,"abstract":"Standard and fractional positive continuous-time linear system with transfer matrices having only positive coefficients are analyzed. It is shown that if the positive system is asymptotically stable then its transfer matrix has only positive coefficients. Some invariant properties of positive standard and fractional linear systems are discussed.","PeriodicalId":201658,"journal":{"name":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Transfer Matrices with Positive Coefficients for Standard and Fractional Positive Linear Systems\",\"authors\":\"T. Kaczorek, L. Sajewski\",\"doi\":\"10.1109/MMAR.2018.8485923\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Standard and fractional positive continuous-time linear system with transfer matrices having only positive coefficients are analyzed. It is shown that if the positive system is asymptotically stable then its transfer matrix has only positive coefficients. Some invariant properties of positive standard and fractional linear systems are discussed.\",\"PeriodicalId\":201658,\"journal\":{\"name\":\"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"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.2018.8485923\",\"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.2018.8485923","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Transfer Matrices with Positive Coefficients for Standard and Fractional Positive Linear Systems
Standard and fractional positive continuous-time linear system with transfer matrices having only positive coefficients are analyzed. It is shown that if the positive system is asymptotically stable then its transfer matrix has only positive coefficients. Some invariant properties of positive standard and fractional linear systems are discussed.