{"title":"标准和分数阶正稳定线性系统的极点和零点","authors":"T. Kaczorek, L. Sajewski","doi":"10.1109/MMAR.2019.8864707","DOIUrl":null,"url":null,"abstract":"Standard and fractional positive stable 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 zeros are located in the open left-hand part of the complex plane. Some invariant properties of positive standard and fractional linear systems are discussed.","PeriodicalId":392498,"journal":{"name":"2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Poles and zeros of standard and fractional positive stable linear systems\",\"authors\":\"T. Kaczorek, L. Sajewski\",\"doi\":\"10.1109/MMAR.2019.8864707\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Standard and fractional positive stable 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 zeros are located in the open left-hand part of the complex plane. Some invariant properties of positive standard and fractional linear systems are discussed.\",\"PeriodicalId\":392498,\"journal\":{\"name\":\"2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMAR.2019.8864707\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2019.8864707","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Poles and zeros of standard and fractional positive stable linear systems
Standard and fractional positive stable 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 zeros are located in the open left-hand part of the complex plane. Some invariant properties of positive standard and fractional linear systems are discussed.