• DocumentCode
    833879
  • Title

    A generalization of the zero location theorem of Schur and Cohn

  • Author

    Ptak, Vlastimil ; Young, N.J.

  • Author_Institution
    Matematicky Ustav CSAV, Zitna,Praha, Czechoslovakia
  • Volume
    25
  • Issue
    5
  • fYear
    1980
  • fDate
    10/1/1980 12:00:00 AM
  • Firstpage
    978
  • Lastpage
    980
  • Abstract
    The well-known Schur-Cohn test for the number of zeros of a polynomial inside the unit circle is deduced from a simple matrix identity. The present proof is not only shorter than earlier ones, but also more general: it produces an infinity of Hermitian forms which can be used in the same way as Schur´s form.
  • Keywords
    Polynomials; Eigenvalues and eigenfunctions; Linear systems; Reduced order systems; Vehicle dynamics; Virtual manufacturing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1980.1102476
  • Filename
    1102476