• DocumentCode
    1244518
  • Title

    The Fornasini-Marchesini and the Roesser models: algebraic methods for recasting

  • Author

    Galkowski, Krzysztof

  • Author_Institution
    Inst. of Telecommun. & Acoust., Tech. Univ. of Wroclaw, Poland
  • Volume
    41
  • Issue
    1
  • fYear
    1996
  • fDate
    1/1/1996 12:00:00 AM
  • Firstpage
    107
  • Lastpage
    112
  • Abstract
    This paper is devoted to giving a new method for recasting the Fornasini-Marchesini model of the two-dimensional system to the Roesser form, endowed with an important feature, that the dimensions of both models are the same. The two-dimensional similarity transformation and spectral transformations of the transfer function variables are used for this purpose. Both the standard and singular cases are considered
  • Keywords
    modelling; multidimensional systems; state-space methods; transfer function matrices; 2D similarity transformation; Fornasini-Marchesini model; Roesser model; algebraic methods; matrix algebra; recasting; spectral transformations; state space model; transfer function matrix; two-dimensional system; Acoustics; Equations; Polynomials; Standards publication; Transfer functions; Two dimensional displays;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.481611
  • Filename
    481611