{"title":"线性mimo系统可控性和可观测性代数判据的新表述","authors":"","doi":"10.36652/0869-4931-2021-75-3-135-137","DOIUrl":null,"url":null,"abstract":"New formulations of algebraic criteria for controllability and observability of a linear dynamical system with multiple inputs and outputs (MIMO-systems) are given, the corresponding theorems are formulated. The criteria are based on algebraic relations between linear combinations of the control matrix columns and own vectors of the free dynamics matrix.\n\nKeywords\nalgebraic criterion; controllability; observability; linear MIMO-system; own value; own vector; Krylov vector and matrix; kernel; cokernel","PeriodicalId":309803,"journal":{"name":"Automation. Modern Techologies","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New formulations of algebraic criteria for controllability and observability of a linear MIMO-system\",\"authors\":\"\",\"doi\":\"10.36652/0869-4931-2021-75-3-135-137\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New formulations of algebraic criteria for controllability and observability of a linear dynamical system with multiple inputs and outputs (MIMO-systems) are given, the corresponding theorems are formulated. The criteria are based on algebraic relations between linear combinations of the control matrix columns and own vectors of the free dynamics matrix.\\n\\nKeywords\\nalgebraic criterion; controllability; observability; linear MIMO-system; own value; own vector; Krylov vector and matrix; kernel; cokernel\",\"PeriodicalId\":309803,\"journal\":{\"name\":\"Automation. Modern Techologies\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Automation. Modern Techologies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36652/0869-4931-2021-75-3-135-137\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automation. Modern Techologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36652/0869-4931-2021-75-3-135-137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New formulations of algebraic criteria for controllability and observability of a linear MIMO-system
New formulations of algebraic criteria for controllability and observability of a linear dynamical system with multiple inputs and outputs (MIMO-systems) are given, the corresponding theorems are formulated. The criteria are based on algebraic relations between linear combinations of the control matrix columns and own vectors of the free dynamics matrix.
Keywords
algebraic criterion; controllability; observability; linear MIMO-system; own value; own vector; Krylov vector and matrix; kernel; cokernel
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