{"title":"Generalized Lyapunov theorems for rectangular descriptor systems","authors":"J. Ishihara, M. Terra","doi":"10.1109/CDC.2001.980708","DOIUrl":null,"url":null,"abstract":"We extend the stability analysis with generalized Lyapunov equations to general descriptor systems. With mild conditions, the existence of solutions of these equations are necessary and sufficient for column regularity and stability.","PeriodicalId":131411,"journal":{"name":"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2001.980708","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
We extend the stability analysis with generalized Lyapunov equations to general descriptor systems. With mild conditions, the existence of solutions of these equations are necessary and sufficient for column regularity and stability.