{"title":"Exponential stability of a class of linear time-varying singularly perturbed systems","authors":"Wu‐Hua Chen, Wei Fu, Rui Du, Xiaomei Lu","doi":"10.1109/ICIST.2011.5765098","DOIUrl":null,"url":null,"abstract":"In this paper, the Gauss-Seidel iteration method is used to investigate the exponential stability of a class of linear time-varying singularly perturbed systems. A simple algebraic criterion for exponential stability for all small enough values of singular perturbation parameter ε is obtained. Moreover, an upper bound on the values of ε for which the system preserves exponential stability can be found by solving a set of ε-dependent inequalities.","PeriodicalId":6408,"journal":{"name":"2009 International Conference on Environmental Science and Information Application Technology","volume":"34 1","pages":"778-783"},"PeriodicalIF":0.0000,"publicationDate":"2011-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Environmental Science and Information Application Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIST.2011.5765098","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, the Gauss-Seidel iteration method is used to investigate the exponential stability of a class of linear time-varying singularly perturbed systems. A simple algebraic criterion for exponential stability for all small enough values of singular perturbation parameter ε is obtained. Moreover, an upper bound on the values of ε for which the system preserves exponential stability can be found by solving a set of ε-dependent inequalities.
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
