• DocumentCode
    848519
  • Title

    The negative Routh test and its application to the cases of vanishing leading elements and imaginary roots

  • Author

    Feinstein, J.

  • Author_Institution
    Escola Federal de Engenharia de Itajubá, Brazil
  • Volume
    30
  • Issue
    2
  • fYear
    1985
  • fDate
    2/1/1985 12:00:00 AM
  • Firstpage
    164
  • Lastpage
    165
  • Abstract
    The ordinary Routh test furnishes in a straightforward manner the number r_{+} of positive roots of a polynomial of degree n . A modification that allows one to obtain the number r_{-} of negative roots in the same way is presented. Thus, the number roof (purely) imaginary roots is immediately found as n-(r_{+}+r_{-}) . The modified test is especially useful when there is a first column vanishing element.
  • Keywords
    Poles and zeros; Routh methods; Automatic control; Filters; Lead; Linear matrix inequalities; Matrices; Polynomials; Riccati equations; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1985.1103897
  • Filename
    1103897
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=848519