• DocumentCode
    1129348
  • Title

    A generalized Bezoutian matrix with respect to a polynomial sequence of interpolatory type

  • Author

    Yang, Zhenghong ; Hu, Yongjian

  • Author_Institution
    Dept. of Math., China Agric. Univ., Beijing, China
  • Volume
    49
  • Issue
    10
  • fYear
    2004
  • Firstpage
    1783
  • Lastpage
    1792
  • Abstract
    In this note, a generalized Bezoutian matrix with respect to a polynomial sequence of interpolatory type is introduced. The operator representation relative to a pair of dual bases and the generalized Barnett-type factorization formula are derived. An intertwining relation and a Bezoutian reduction to a block diagonal form by congruence via a generalized Vandermonde matrix are presented. Fujiwara-Hermite and Routh-Hurwitz criteria in terms of this generalized Bezout matrix are obtained.
  • Keywords
    control system analysis; interpolation; matrix algebra; polynomials; stability; Barnett factorization formula; Bezoutian matrix; Vandermonder matrix; interpolatory type; operator representation relative; polynomial sequence; Control theory; Equations; History; Mathematics; Output feedback; Polynomials; Stability criteria; Symmetric matrices; Barnett-type formula; Bezoutian; Fujiwara–Hermite and Routh–Hurwitz criteria; polynomial sequence of interpolatory type;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2004.835403
  • Filename
    1341577
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1129348