{"title":"Passivity approach to feedback connection stability for discrete-time descriptor systems","authors":"Jian-Liung Chen, L. Lee","doi":"10.1109/CDC.2001.980710","DOIUrl":null,"url":null,"abstract":"The linear matrix inequality (LMI)-based passivity approach to studying both input-output and internal stability problems for feedback connections of discrete-time linear descriptor systems with passive nonlinearities is developed. We show that, under a mild condition, a set of LMIs is equivalent to the strictly positive realness of the linear descriptor systems, and is strong enough to guarantee both the finite gain l/sub 2/-stability and asymptotic hyperstability of the feedback connection.","PeriodicalId":131411,"journal":{"name":"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"23","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.2001.980710","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 23
Abstract
The linear matrix inequality (LMI)-based passivity approach to studying both input-output and internal stability problems for feedback connections of discrete-time linear descriptor systems with passive nonlinearities is developed. We show that, under a mild condition, a set of LMIs is equivalent to the strictly positive realness of the linear descriptor systems, and is strong enough to guarantee both the finite gain l/sub 2/-stability and asymptotic hyperstability of the feedback connection.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
