• DocumentCode
    836798
  • Title

    A root-clustering theorem

  • Author

    Gutman, S. ; Shwartz, G.

  • Author_Institution
    Technion-Israel Institute of Technology, Haifa, Israel
  • Volume
    26
  • Issue
    4
  • fYear
    1981
  • fDate
    8/1/1981 12:00:00 AM
  • Firstpage
    940
  • Lastpage
    940
  • Abstract
    We consider the problem of root clustering of a real matrix in an algebraic region of the complex plane. It is shown that a criterion (previously obtained) based on an n^{2} \\times n^{2} matrix reduces to a criterion based on an frac{1}{2}n(n-1) \\times frac{1}{2}n(n-1) matrix. This is done for any transformable region and thus generalizes earlier results.
  • Keywords
    Matrices; Poles and zeros; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Polynomials; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102762
  • Filename
    1102762
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=836798