• DocumentCode
    1021354
  • Title

    Representation and realisation of stable systems using input maps

  • Author

    Burns, P.D. ; Fairman, F.W.

  • Author_Institution
    Dept. of Electr. Eng., Queen´´s Univ., Kingston, Ont., Canada
  • Volume
    137
  • Issue
    2
  • fYear
    1990
  • fDate
    3/1/1990 12:00:00 AM
  • Firstpage
    77
  • Lastpage
    83
  • Abstract
    A method is proposed for calculating the input map of a stable linear dynamic system directly from its impulse response matrix. Several canonic forms are proposed for these maps, and their properties are developed. These canonic forms are used to provide methods for determining a system realisation and its corresponding Gramians. This approach is applied to the calculation of a balanced realisation.
  • Keywords
    linear systems; matrix algebra; stability; Gramians; balanced realisation; canonic forms; impulse response matrix; input map; representation of stable systems; stable linear dynamic system; system realisation;
  • fLanguage
    English
  • Journal_Title
    Control Theory and Applications, IEE Proceedings D
  • Publisher
    iet
  • ISSN
    0143-7054
  • Type

    jour

  • Filename
    50586