• DocumentCode
    697240
  • Title

    An alternative characterization for state/driving-variable representability of 2D behaviors

  • Author

    Bras, Isabel ; Rocha, Paula

  • Author_Institution
    Dept. of Math., Univ. of Aveiro, Aveiro, Portugal
  • fYear
    2001
  • fDate
    4-7 Sept. 2001
  • Firstpage
    1406
  • Lastpage
    1409
  • Abstract
    We consider discrete 2D behaviors with kernel representation and investigate the question of representability by means of a 2D state/driving-variable (SDV) model. It turns out that a 2D behavior B is SDV-representable if and only if it has a full row rank kernel representation and, additionally, the gcd´s of the maximal order minors of any full row rank kernel representation of B are unimodulary equivalent to a 2D Laurent-polynomial with 2D-proper inverse.
  • Keywords
    discrete systems; inverse problems; polynomials; 2D Laurent-polynomial; 2D state/driving-variable model; 2D-proper inverse; SDV model; SDV-representable; discrete 2D behaviors; full row rank kernel representation; maximal order minors; state/driving-variable representability; Decision support systems; Europe; Table lookup; 2D Laurent-polyomial; 2D first-order representation; 2D-properness; Kernel behavior; state/driving-variable model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2001 European
  • Conference_Location
    Porto
  • Print_ISBN
    978-3-9524173-6-2
  • Type

    conf

  • Filename
    7076114