{"title":"On a fractional optimal control problem with Jumarie's modified Riemann-Liouville derivative","authors":"R. Kamocki","doi":"10.1109/MMAR.2014.6957339","DOIUrl":null,"url":null,"abstract":"In the paper, a fractional nonlinear continuous control system with modified Riemann-Liouville derivative is considered. An existence and uniqueness of a solution and continuous dependence of solutions on controls to such system are investigated. Finally, a theorem on the existence of optimal solutions to this one with a nonlinear integral performance index is proved.","PeriodicalId":166287,"journal":{"name":"2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR)","volume":"147 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2014.6957339","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In the paper, a fractional nonlinear continuous control system with modified Riemann-Liouville derivative is considered. An existence and uniqueness of a solution and continuous dependence of solutions on controls to such system are investigated. Finally, a theorem on the existence of optimal solutions to this one with a nonlinear integral performance index is proved.
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