{"title":"New delay-dependent stability conditions for linear systems with delay","authors":"S. Elmadssia, K. Saadaoui, M. Benrejeb","doi":"10.1080/21642583.2013.775537","DOIUrl":null,"url":null,"abstract":"In this work, delay-dependent stability conditions for systems described by delayed differential equations are presented. The employment of a special transformation to another state space representation named Benrejeb characteristic arrow matrix permit to determine a practical asymptotic stability condition. An Illustrative example is presented permitting to understand the application of the proposed methods.","PeriodicalId":259067,"journal":{"name":"2011 International Conference on Communications, Computing and Control Applications (CCCA)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"41","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Communications, Computing and Control Applications (CCCA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/21642583.2013.775537","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 41
Abstract
In this work, delay-dependent stability conditions for systems described by delayed differential equations are presented. The employment of a special transformation to another state space representation named Benrejeb characteristic arrow matrix permit to determine a practical asymptotic stability condition. An Illustrative example is presented permitting to understand the application of the proposed methods.