• DocumentCode
    804918
  • Title

    On systems described by the companion matrix

  • Author

    Kaufman, I. ; Roe, Paul

  • Author_Institution
    University of Waterloo, Waterloo, Ontario, Canada
  • Volume
    15
  • Issue
    6
  • fYear
    1970
  • fDate
    12/1/1970 12:00:00 AM
  • Firstpage
    692
  • Lastpage
    693
  • Abstract
    It is shown that general properties of analytical functions of a system matrix (including the transition matrix) follow naturally from consideration of the resolvent matrix and the Cauchy-integral formula. Previously published results are extended to cover arbitrary analytical functions and allow for multiple eigenvulues.
  • Keywords
    Linear time-invariant (LTI) systems; Matrices; Control systems; Controllability; Eigenvalues and eigenfunctions; Fasteners; Iterative algorithms; Iterative methods; Linear feedback control systems; Lyapunov method; Riccati equations; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1970.1099611
  • Filename
    1099611
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=804918