{"title":"一种测试可控性和计算Brunovsky输出的商子空间算法","authors":"P. Müllhaupt","doi":"10.1109/CDC.2004.1430368","DOIUrl":null,"url":null,"abstract":"An algorithm is proposed for testing controllability and computing the Brunovsky output of a single input system. Rather than computing explicitly the controllability matrix, it operates by building successive images of the input matrix in specific quotient subspaces. The algorithm can be used to test controllability to a higher degree of numerical accuracy than standard controllability tests.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"408 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A quotient subspace algorithm for testing controllability and computing Brunovsky's outputs\",\"authors\":\"P. Müllhaupt\",\"doi\":\"10.1109/CDC.2004.1430368\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An algorithm is proposed for testing controllability and computing the Brunovsky output of a single input system. Rather than computing explicitly the controllability matrix, it operates by building successive images of the input matrix in specific quotient subspaces. The algorithm can be used to test controllability to a higher degree of numerical accuracy than standard controllability tests.\",\"PeriodicalId\":411031,\"journal\":{\"name\":\"IEEE Conference on Decision and Control\",\"volume\":\"408 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2004.1430368\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2004.1430368","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A quotient subspace algorithm for testing controllability and computing Brunovsky's outputs
An algorithm is proposed for testing controllability and computing the Brunovsky output of a single input system. Rather than computing explicitly the controllability matrix, it operates by building successive images of the input matrix in specific quotient subspaces. The algorithm can be used to test controllability to a higher degree of numerical accuracy than standard controllability tests.