• DocumentCode
    819630
  • Title

    On the minimality of the Jordan form state equations

  • Author

    Bingulac, S.P. ; Djorovic, M.

  • Author_Institution
    University of Illinois, Urbana, Illinois, USA
  • Volume
    20
  • Issue
    5
  • fYear
    1975
  • fDate
    10/1/1975 12:00:00 AM
  • Firstpage
    687
  • Lastpage
    689
  • Abstract
    This paper proves the theorem that permits calculation of the order of the minimal realization of a system described by the Jordan form state equations. The proof is purely algebraic and is applicable both to continuous and discrete dynamic systems. The application of the theorem is illustrated by a computational example.
  • Keywords
    Linear systems, time-invariant continuous-time; Minimal realizations; Bismuth; Controllability; Eigenvalues and eigenfunctions; Equations; Observability; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1101050
  • Filename
    1101050
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=819630