• DocumentCode
    803371
  • Title

    A method to determine whether two polynomials are relatively prime

  • Author

    Vogt, W. ; Bose, N.

  • Author_Institution
    University of Pittsburgh, Pittsburgh, PA, USA
  • Volume
    15
  • Issue
    3
  • fYear
    1970
  • fDate
    6/1/1970 12:00:00 AM
  • Firstpage
    379
  • Lastpage
    380
  • Abstract
    In this paper, it is established that a necessary and sufficient condition for two monic polynomials f(\\lambda ) and g(\\lambda ) to have a common root is that \\det [f(B)] = 0 or \\det [g(A)] = 0 , where A and B are, respectively, the companion matrices associated with f(\\lambda ) and g(\\lambda ) . The simplicity of this method is illustrated by examples.
  • Keywords
    Poles and zeros; Polynomials; Automatic control; Control systems; Lyapunov method; Polynomials; Stability; Sufficient conditions; System testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1970.1099465
  • Filename
    1099465
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=803371