Leila Bouazza, B. Mourllion, A. Makhlouf, A. Birouche
{"title":"摄动线性时不变系统的可控性和可观察性鲁棒性","authors":"Leila Bouazza, B. Mourllion, A. Makhlouf, A. Birouche","doi":"10.1109/MED48518.2020.9183331","DOIUrl":null,"url":null,"abstract":"The controllability and observability of a continuous linear time-invariant system (LTI) under perturbations are analyzed in this paper. Based on various mathematical tools, sufficient conditions to ensure controllability of LTI systems are presented. Besides, the perturbed system corresponds to a perturbation of the matrices, and the conditions that have been established are intimately linked to the structure of perturbed system. By duality, the robustness of observability is also ensured under suitable conditions.","PeriodicalId":418518,"journal":{"name":"2020 28th Mediterranean Conference on Control and Automation (MED)","volume":"96 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Controllability and observability robustness of perturbed linear time invariant systems\",\"authors\":\"Leila Bouazza, B. Mourllion, A. Makhlouf, A. Birouche\",\"doi\":\"10.1109/MED48518.2020.9183331\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The controllability and observability of a continuous linear time-invariant system (LTI) under perturbations are analyzed in this paper. Based on various mathematical tools, sufficient conditions to ensure controllability of LTI systems are presented. Besides, the perturbed system corresponds to a perturbation of the matrices, and the conditions that have been established are intimately linked to the structure of perturbed system. By duality, the robustness of observability is also ensured under suitable conditions.\",\"PeriodicalId\":418518,\"journal\":{\"name\":\"2020 28th Mediterranean Conference on Control and Automation (MED)\",\"volume\":\"96 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 28th Mediterranean Conference on Control and Automation (MED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MED48518.2020.9183331\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 28th Mediterranean Conference on Control and Automation (MED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED48518.2020.9183331","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Controllability and observability robustness of perturbed linear time invariant systems
The controllability and observability of a continuous linear time-invariant system (LTI) under perturbations are analyzed in this paper. Based on various mathematical tools, sufficient conditions to ensure controllability of LTI systems are presented. Besides, the perturbed system corresponds to a perturbation of the matrices, and the conditions that have been established are intimately linked to the structure of perturbed system. By duality, the robustness of observability is also ensured under suitable conditions.
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