{"title":"关于线性无限维反馈系统","authors":"A. Cheremensky","doi":"10.1109/CCA.2009.5281076","DOIUrl":null,"url":null,"abstract":"The paper studies a class of linear (infinite-dimensional control) systems where system (controlled, controlling and observed) variables and external disturbances are picked up in equations with the help of bounded (‘weight’) linear operators in resolution extended normed linear spaces. Under the given conditions the set of all bounded (stable) transfer operators (acting from external disturbances to system variables) is obtained; in general not all of them prove to be realizable with the help of the feedback and separation principles.","PeriodicalId":294950,"journal":{"name":"2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC)","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On linear infinite-dimensional feedback systems\",\"authors\":\"A. Cheremensky\",\"doi\":\"10.1109/CCA.2009.5281076\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper studies a class of linear (infinite-dimensional control) systems where system (controlled, controlling and observed) variables and external disturbances are picked up in equations with the help of bounded (‘weight’) linear operators in resolution extended normed linear spaces. Under the given conditions the set of all bounded (stable) transfer operators (acting from external disturbances to system variables) is obtained; in general not all of them prove to be realizable with the help of the feedback and separation principles.\",\"PeriodicalId\":294950,\"journal\":{\"name\":\"2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC)\",\"volume\":\"69 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-07-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCA.2009.5281076\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCA.2009.5281076","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The paper studies a class of linear (infinite-dimensional control) systems where system (controlled, controlling and observed) variables and external disturbances are picked up in equations with the help of bounded (‘weight’) linear operators in resolution extended normed linear spaces. Under the given conditions the set of all bounded (stable) transfer operators (acting from external disturbances to system variables) is obtained; in general not all of them prove to be realizable with the help of the feedback and separation principles.
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