• DocumentCode
    921013
  • Title

    Simple proof of the Simon-Mitter controllability theorem

  • Author

    Crossley, T.R. ; Porter, Barry

  • Author_Institution
    University of Salford, Department of Mechanical Engineering, Salford, UK
  • Volume
    9
  • Issue
    3
  • fYear
    1973
  • Firstpage
    51
  • Lastpage
    52
  • Abstract
    It is shown that the introduction of generalised mode-controllability matrices of multivariable time-invariant linear systems greatly facilitates a simple and direct proof of the Simon¿Mitter theorem concerning the controllability characteristics of such systems. This proof is presented for systems whose plant matrices have any Jordan canonical form.
  • Keywords
    controllability; linear systems; matrix algebra; multivariable control systems; theorem proving; Jordan canonical form; Simmon Mitter theorem; controllability; linear systems; matrix algebra; multivariable systems; time invariant systems;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19730036
  • Filename
    4235972
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=921013