• DocumentCode
    836281
  • Title

    A comment on the use of spectral radius of a matrix

  • Author

    Fogel, E.

  • Author_Institution
    Charles Stark Draper Laboratory, Cambridge, MA, USA
  • Volume
    26
  • Issue
    3
  • fYear
    1981
  • fDate
    6/1/1981 12:00:00 AM
  • Firstpage
    798
  • Lastpage
    799
  • Abstract
    This correspondence calls attention to the misuse of the spectral radius of system matrices in stability analysis. It is demonstrated via examples that \\Pi \\min{i=1}\\max {n} A_{i} may diverge even if \\rho(A_{i}) < 1 for all i .
  • Keywords
    Matrices; Stability; Adaptive control; Automatic control; Circuit theory; Control systems; Controllability; Convergence; Graph theory; Linear matrix inequalities; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102712
  • Filename
    1102712
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=836281