{"title":"具有时滞的Riemann-Liouville分数阶奇异系统的稳定性分析","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":"{\"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}","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}
On Stability Analysis of Riemann-Liouville Fractional Singular Systems with Delays
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.