{"title":"矩形广义系统Kronecker标准形式的脉冲模分析","authors":"Abhinav Kumar, Mamoni Paitandi, M. Gupta","doi":"10.1109/ICC56513.2022.10093353","DOIUrl":null,"url":null,"abstract":"Unlike regular descriptor systems, there are various notions for impulse freeness in rectangular linear descriptor systems. Descriptor systems, in general, do not admit arbitrary initial conditions. In this note, conditions for having no impulsive modes, free of impulse, and admitting arbitrary or particular initial conditions are analyzed by deriving their respective Kronecker canonical forms for rectangular descriptor systems. Some other equivalent conditions are also discussed. Numerical examples are presented to illustrate the theory.","PeriodicalId":101654,"journal":{"name":"2022 Eighth Indian Control Conference (ICC)","volume":"4 4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Analysis of Impulsive Modes in Kronecker Canonical Form for Rectangular Descriptor Systems\",\"authors\":\"Abhinav Kumar, Mamoni Paitandi, M. Gupta\",\"doi\":\"10.1109/ICC56513.2022.10093353\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Unlike regular descriptor systems, there are various notions for impulse freeness in rectangular linear descriptor systems. Descriptor systems, in general, do not admit arbitrary initial conditions. In this note, conditions for having no impulsive modes, free of impulse, and admitting arbitrary or particular initial conditions are analyzed by deriving their respective Kronecker canonical forms for rectangular descriptor systems. Some other equivalent conditions are also discussed. Numerical examples are presented to illustrate the theory.\",\"PeriodicalId\":101654,\"journal\":{\"name\":\"2022 Eighth Indian Control Conference (ICC)\",\"volume\":\"4 4\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 Eighth Indian Control Conference (ICC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICC56513.2022.10093353\",\"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 Eighth Indian Control Conference (ICC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICC56513.2022.10093353","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of Impulsive Modes in Kronecker Canonical Form for Rectangular Descriptor Systems
Unlike regular descriptor systems, there are various notions for impulse freeness in rectangular linear descriptor systems. Descriptor systems, in general, do not admit arbitrary initial conditions. In this note, conditions for having no impulsive modes, free of impulse, and admitting arbitrary or particular initial conditions are analyzed by deriving their respective Kronecker canonical forms for rectangular descriptor systems. Some other equivalent conditions are also discussed. Numerical examples are presented to illustrate the theory.
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