Muhammad Owais Tariq, Muhammad Irfan Mushtaq, None Amir Hamza
{"title":"Fractional electrical circuits: A drazin Inverse Technique","authors":"Muhammad Owais Tariq, Muhammad Irfan Mushtaq, None Amir Hamza","doi":"10.52700/msa.v2i1.11","DOIUrl":null,"url":null,"abstract":"In this paper, we will discuss the controllability and observability conditions for some fractional electrical circuits, using the controllability and observability of Gramian matrix conditions derived for fractional continuous time linear systems with regular pencil. These results are obtained with the help of the Drazin inverse method.","PeriodicalId":42896,"journal":{"name":"Annals of Mathematical Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematical Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52700/msa.v2i1.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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Abstract
In this paper, we will discuss the controllability and observability conditions for some fractional electrical circuits, using the controllability and observability of Gramian matrix conditions derived for fractional continuous time linear systems with regular pencil. These results are obtained with the help of the Drazin inverse method.
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