• DocumentCode
    840136
  • Title

    On the good use of the spectral radius of a matrix

  • Author

    Fuchs, Jean Jacques J

  • Author_Institution
    Laboratoire d´´Automatique, Rennes Cedex, France
  • Volume
    27
  • Issue
    5
  • fYear
    1982
  • fDate
    10/1/1982 12:00:00 AM
  • Firstpage
    1134
  • Lastpage
    1135
  • Abstract
    In a recent correspondence [1], attention was called to the "misuse" of spectral radius of system matrices in stability, analysis. An assertion made in [1] is elaborated on more precisely in this note. In addition, we present some interesting stability results for "slowly varying" linear systems, highlighting the crucial role played by the spectral radius in convergence analysis.
  • Keywords
    Linear systems, time-varying; Matrices; Stability, linear systems; Time-varying systems, linear; Adaptive control; Control theory; Convergence of numerical methods; Eigenvalues and eigenfunctions; Linear systems; Numerical analysis; Numerical stability; Printing; Programmable control; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1982.1103076
  • Filename
    1103076
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=840136