• DocumentCode
    1172115
  • Title

    Complete instability of a box of polynomials

  • Author

    Padmanabhan, Prasad ; Hollot, C.V.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA
  • Volume
    37
  • Issue
    8
  • fYear
    1992
  • fDate
    8/1/1992 12:00:00 AM
  • Firstpage
    1230
  • Lastpage
    1233
  • Abstract
    The authors study the converse of V.L. Kharitonov´s polynomial problem (1978) by asking whether the complete instability of a box of polynomials can be determined from extreme sets. They show that it is not enough to check the (n-4)-dimensional boundary, but prove that the complete instability of the (n-1)-dimensional boundary is sufficient
  • Keywords
    polynomials; stability; box of polynomials; complete instability; extreme sets; Automatic control; Design engineering; Differential equations; Feedback; Multidimensional signal processing; Multidimensional systems; Polynomials; Robust stability; Speech processing; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.151114
  • Filename
    151114