• DocumentCode
    839801
  • Title

    A test for root-clustering transformability

  • Author

    Gutman, Shaul

  • Author_Institution
    University of California, Berkeley, CA, USA
  • Volume
    27
  • Issue
    4
  • fYear
    1982
  • fDate
    8/1/1982 12:00:00 AM
  • Firstpage
    979
  • Lastpage
    981
  • Abstract
    Consider the problem of root clustering: given a square matrix A with spectrum \\sigma (A) , for what region S in the complex plane is it possible to state a criterion (necessary and sufficient conditions) so that \\sigma (A) \\in S ? Recently it has been shown that one subclass Ω of S satisfies a certain transformability condition. In this note we test transformability via polynomial global nonnegativity.
  • Keywords
    Matrices; Poles and zeros; Differential equations; Geometry; Linear matrix inequalities; Mechanical engineering; Nonlinear equations; Polynomials; Region 5; Riccati equations; Sufficient conditions; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1982.1103044
  • Filename
    1103044
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=839801