{"title":"具有状态及其导数反馈的标准和分数阶广义线性系统","authors":"T. Kaczorek","doi":"10.1109/MMAR55195.2022.9874323","DOIUrl":null,"url":null,"abstract":"The standard and fractional descriptor linear continuous-time systems with state and its derivative feedbacks are considered. Sufficient conditions for the existence of state and its derivative feedbacks are established for which the closed loop system is positive and asymptotically stable for standard and fractional linear systems. Procedures for computation of the feedback matrices are given and illustrated by simple examples.","PeriodicalId":169528,"journal":{"name":"2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR)","volume":"45 5","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Standard and fractional descriptor linear systems with state and its derivatives feedbacks\",\"authors\":\"T. Kaczorek\",\"doi\":\"10.1109/MMAR55195.2022.9874323\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The standard and fractional descriptor linear continuous-time systems with state and its derivative feedbacks are considered. Sufficient conditions for the existence of state and its derivative feedbacks are established for which the closed loop system is positive and asymptotically stable for standard and fractional linear systems. Procedures for computation of the feedback matrices are given and illustrated by simple examples.\",\"PeriodicalId\":169528,\"journal\":{\"name\":\"2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"volume\":\"45 5\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMAR55195.2022.9874323\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR55195.2022.9874323","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Standard and fractional descriptor linear systems with state and its derivatives feedbacks
The standard and fractional descriptor linear continuous-time systems with state and its derivative feedbacks are considered. Sufficient conditions for the existence of state and its derivative feedbacks are established for which the closed loop system is positive and asymptotically stable for standard and fractional linear systems. Procedures for computation of the feedback matrices are given and illustrated by simple examples.