{"title":"lmi的约简算法","authors":"V. Eldem, K. Ozcaldiran","doi":"10.23919/ECC.2007.7068659","DOIUrl":null,"url":null,"abstract":"In this paper, we show that under certain conditions, the feasibility set of an LMI defined by n × n matrices can be computed by considering another LMI defined by ñ×ñ matrices where ñ <; n.","PeriodicalId":407048,"journal":{"name":"2007 European Control Conference (ECC)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A reduction algorithm for LMIs\",\"authors\":\"V. Eldem, K. Ozcaldiran\",\"doi\":\"10.23919/ECC.2007.7068659\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we show that under certain conditions, the feasibility set of an LMI defined by n × n matrices can be computed by considering another LMI defined by ñ×ñ matrices where ñ <; n.\",\"PeriodicalId\":407048,\"journal\":{\"name\":\"2007 European Control Conference (ECC)\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 European Control Conference (ECC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/ECC.2007.7068659\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 European Control Conference (ECC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ECC.2007.7068659","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we show that under certain conditions, the feasibility set of an LMI defined by n × n matrices can be computed by considering another LMI defined by ñ×ñ matrices where ñ <; n.