• DocumentCode
    1333599
  • Title

    On the pseudoboundary of unstable polytopes of polynomials

  • Author

    Pujara, L.R.

  • Author_Institution
    Dept. of Electr. Eng., Wright State Univ., Dayton, OH, USA
  • Volume
    41
  • Issue
    8
  • fYear
    1996
  • fDate
    8/1/1996 12:00:00 AM
  • Firstpage
    1188
  • Lastpage
    1190
  • Abstract
    The pseudoboundary of a polytope is defined to be the set of all polynomials in the polytope each of which has at least one zero on the imaginary axis. It is proven that a “section” of the pseudoboundary corresponding to any frequency “ω0” is itself a polytope whose vertices lie in the exposed two-dimensional faces of the given polytope. A simple algorithm is proposed to generate all the vertex polynomials of any section of the pseudoboundary of a polytope. An illustrative example is given
  • Keywords
    numerical stability; polynomials; exposed two-dimensional faces; imaginary axis; polynomials; pseudoboundary; unstable polytopes; vertex polynomials; Frequency; Polynomials; Stability; Two dimensional displays; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.533681
  • Filename
    533681
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1333599