• DocumentCode
    2152825
  • Title

    Computation of realizations of 2D cone-systems

  • Author

    Kaczorek, Tadeusz

  • Author_Institution
    Electr. Dept., Warsaw Univ. of Technol., Warsaw, Poland
  • fYear
    2007
  • fDate
    2-5 July 2007
  • Firstpage
    3011
  • Lastpage
    3015
  • Abstract
    A new notion of a 2D (P,Q,V)-cone system is introduced. Necessary and sufficient conditions for the existence of a realization of a given proper transfer matrix are established. A procedure is proposed for computation of a realization of a given transfer matrix of the 2D (P,Q,V)-cone system. It is shown that there exists a realization of the transfer matrix T(z1,z2) of a 2D (P,Q,V)-cone system if and only if there exists a positive realization of T̅ (z1,z2)=VT(z1,z2)Q-1, where V, Q and P are nonnegative matrices generating the cones V, Q, and P.
  • Keywords
    controllability; linear systems; matrix algebra; 2D (P,Q,V)-cone system; nonnegative matrices; transfer matrix; Aerospace electronics; Controllability; Delays; Linear systems; Standards; Sufficient conditions; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2007 European
  • Conference_Location
    Kos
  • Print_ISBN
    978-3-9524173-8-6
  • Type

    conf

  • Filename
    7068232
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2152825