{"title":"On Stability Analysis of Riemann-Liouville Fractional Singular Systems with Delays","authors":"Erdal Korkmaz, M. Kaya","doi":"10.18586/msufbd.1183495","DOIUrl":null,"url":null,"abstract":"In this study, two lagged fractional order singular neutral differential equations are considered. Using the advantage of the association property of the Riemann -Liouville derivative, the derivative of the appropriate Lyapunov function is calculated. Then, with the help of LMI, sufficient conditions for asymptotic stability of zero solutions are obtained.","PeriodicalId":437889,"journal":{"name":"Muş Alparslan Üniversitesi Fen Bilimleri Dergisi","volume":"78 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Muş Alparslan Üniversitesi Fen Bilimleri Dergisi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18586/msufbd.1183495","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, two lagged fractional order singular neutral differential equations are considered. Using the advantage of the association property of the Riemann -Liouville derivative, the derivative of the appropriate Lyapunov function is calculated. Then, with the help of LMI, sufficient conditions for asymptotic stability of zero solutions are obtained.
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