• DocumentCode
    2153161
  • Title

    Reachability and controllability to zero of positive fractional discrete-time systems

  • Author

    Kaczorek, Tadeusz

  • Author_Institution
    Electr. Dept., Warsaw Univ. of Technol., Warsaw, Poland
  • fYear
    2007
  • fDate
    2-5 July 2007
  • Firstpage
    1708
  • Lastpage
    1712
  • Abstract
    A notion of positive fractional discrete-time system is introduced. Necessary and sufficient conditions are established for the positivity, reachability and controllability to zero of fractional discrete-time linear systems. The classical Cayley-Hamilton theorem is extended for the positive fractional systems.
  • Keywords
    controllability; discrete time systems; linear systems; reachability analysis; Cayley-Hamilton theorem; controllability; fractional discrete-time linear system; necessary condition; positive fractional system; positivity; reachability; sufficient condition; Controllability; Delays; Discrete-time systems; Equations; Fractional calculus; Linear systems; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2007 European
  • Conference_Location
    Kos
  • Print_ISBN
    978-3-9524173-8-6
  • Type

    conf

  • Filename
    7068247