• DocumentCode
    1545680
  • Title

    A generalization of strong Kharitonov theorems to polytopes of polynomials

  • Author

    Foo, Y.K. ; Soh, Y.C.

  • Author_Institution
    Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
  • Volume
    35
  • Issue
    8
  • fYear
    1990
  • fDate
    8/1/1990 12:00:00 AM
  • Firstpage
    936
  • Lastpage
    939
  • Abstract
    The root clustering property of a certain class of polytopes of polynomials is examined. It is shown that the polytopes of polynomials have only zeros within the left sector if and only if a subset of their edge polynomials has only zeros within the left sector. Certain conditions are derived under which the root clustering property of the polytopes of polynomials can be inferred from a subset of their vertices
  • Keywords
    polynomials; polynomials; polytopes; root clustering property; strong Kharitonov theorems; subset; vertices; Linear systems; Polynomials; Robust stability; Uncertain systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.58506
  • Filename
    58506