• DocumentCode
    844468
  • Title

    Root clustering of a real matrix in a sector

  • Author

    Gutman, Shaul ; Vaisberg, Favel

  • Author_Institution
    Technion-Israel Institute of Technology, Haifa, Israel
  • Volume
    29
  • Issue
    3
  • fYear
    1984
  • fDate
    3/1/1984 12:00:00 AM
  • Firstpage
    251
  • Lastpage
    253
  • Abstract
    We prove that a real matrix A \\in R^{n \\times n} has all its eigenvalues in the left sector if and only if the polynomial det [ \\lambda ^{2}I - 2\\delta A\\lambda + (\\delta ^{2} + 1)A^{2} ] is Hurwitz where δ is the sector\´s slope.
  • Keywords
    Eigenvalues/eigenvectors; Damping; Eigenvalues and eigenfunctions; Equations; Feedback; Mechanical engineering; Polynomials; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103495
  • Filename
    1103495
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=844468