• DocumentCode
    272070
  • Title

    On a fractional optimal control problem with Jumarie´s modified Riemann-Liouville derivative

  • Author

    Kamocki, Rafał

  • Author_Institution
    Fac. of Math. & Comput. Sci., Univ. of Lodz, Lodz, Poland
  • fYear
    2014
  • fDate
    2-5 Sept. 2014
  • Firstpage
    140
  • Lastpage
    145
  • 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.
  • Keywords
    nonlinear control systems; optimal control; Jumarie modified Riemann-Liouville derivative; fractional nonlinear continuous control system; fractional optimal control problem; nonlinear integral performance index; optimal solutions; Aerospace electronics; Fractional calculus; Integral equations; Optimal control; Performance analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On
  • Conference_Location
    Miedzyzdroje
  • Print_ISBN
    978-1-4799-5082-9
  • Type

    conf

  • DOI
    10.1109/MMAR.2014.6957339
  • Filename
    6957339
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=272070