S. Stojanovic, D. Debeljkovic, T. Nestorović, D. Antić
{"title":"Finite-time boundedness analysis of a class of linear discrete descriptor systems: An LMI approach","authors":"S. Stojanovic, D. Debeljkovic, T. Nestorović, D. Antić","doi":"10.1109/ICOSC.2013.6750991","DOIUrl":null,"url":null,"abstract":"In this paper, the class of linear discrete-time descriptor systems with time-varying exogenous disturbance are considered. Three sufficient conditions for the finite time boundedness and finite-time stability of linear discrete-time descriptor systems are presented. The stability conditions are reduced to a feasibility problem involving linear matrix inequalities. A numerical example has been provided to show the advantage of derived results.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"3rd International Conference on Systems and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOSC.2013.6750991","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, the class of linear discrete-time descriptor systems with time-varying exogenous disturbance are considered. Three sufficient conditions for the finite time boundedness and finite-time stability of linear discrete-time descriptor systems are presented. The stability conditions are reduced to a feasibility problem involving linear matrix inequalities. A numerical example has been provided to show the advantage of derived results.