{"title":"Controllability of h-difference linear control systems with two fractional orders","authors":"D. Mozyrska, E. Pawłuszewicz","doi":"10.1080/00207721.2013.794907","DOIUrl":null,"url":null,"abstract":"A class of h-difference linear control systems with two fractional orders is studied. Caputo type h-difference operator is used. The formula of the solution to the stated initial value problem of the given system is proved. The problem of controllability in a finite number of steps is considered.","PeriodicalId":334936,"journal":{"name":"Proceedings of the 13th International Carpathian Control Conference (ICCC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"43","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 13th International Carpathian Control Conference (ICCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00207721.2013.794907","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 43
Abstract
A class of h-difference linear control systems with two fractional orders is studied. Caputo type h-difference operator is used. The formula of the solution to the stated initial value problem of the given system is proved. The problem of controllability in a finite number of steps is considered.