• DocumentCode
    1006539
  • Title

    When are the complex and the real stability radii equal?

  • Author

    Lewkowicz, Izchak

  • Author_Institution
    Dept. of Electr. Eng., Technion-Israel, Haifa, Israel
  • Volume
    37
  • Issue
    6
  • fYear
    1992
  • fDate
    6/1/1992 12:00:00 AM
  • Firstpage
    880
  • Lastpage
    883
  • Abstract
    Characterization of those real stable matrices for which the unstructured complex and real stability radii are equal is presented. Special cases of this equality are discussed. As application of this result, it is shown that, for 2×2 matrices with nonreal eigenvalues, neither the case of equality nor the case of strict inequality is generic
  • Keywords
    eigenvalues and eigenfunctions; matrix algebra; stability criteria; complex stability radius; matrix algebra; nonreal eigenvalues; real stability radii; real stability radius; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Robust stability; Terrorism; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.256353
  • Filename
    256353
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1006539