• DocumentCode
    1438672
  • Title

    Test for the stability of polynomial matrices

  • Author

    Papaconstantinou, C.

  • Author_Institution
    University of Manchester Institute of Science & Technology, Control Systems Centre, Manchester, UK
  • Volume
    122
  • Issue
    3
  • fYear
    1975
  • fDate
    3/1/1975 12:00:00 AM
  • Firstpage
    312
  • Lastpage
    314
  • Abstract
    A scheme is proposed for testing the stability of polynomial matrices. Eigenvalues with positive real parts are mapped onto the exterior of the unit circle, and instability is subsequently traced by application of the power method to the resulting matrix. The difficulties of singularity of the coefficient matrices involved are overcome, since inversions are avoided, and any sparsity can be efficiently handled.
  • Keywords
    eigenvalues and eigenfunctions; matrix algebra; stability; eigenvalues; polynomial matrices; stability; testing;
  • fLanguage
    English
  • Journal_Title
    Electrical Engineers, Proceedings of the Institution of
  • Publisher
    iet
  • ISSN
    0020-3270
  • Type

    jour

  • DOI
    10.1049/piee.1975.0085
  • Filename
    5252799