• DocumentCode
    822591
  • Title

    General procedure for multivariable polynomial positivity test with control applications

  • Author

    Bose, N.K. ; Modarressi, A.R.

  • Author_Institution
    University of Pittsburgh, Pittsburgh, PA, USA
  • Volume
    21
  • Issue
    5
  • fYear
    1976
  • fDate
    10/1/1976 12:00:00 AM
  • Firstpage
    696
  • Lastpage
    701
  • Abstract
    A procedure is given to determine whether or not a polynomial in several real variables is globally positive. Emphasis is placed on the resolution of singularities of various types that occur during the implementation of the algorithm. A nontrivial example encountered in application of Lyapunov direct method to stability investigation of nonlinear control systems is given to illustrate the details of the procedure.
  • Keywords
    Lyapunov methods; Multivariable polynomials; Nonlinear systems, continuous-time; Algebra; Control systems; Digital filters; Ear; Limit-cycles; Multidimensional systems; Output feedback; Polynomials; Stability; System testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1976.1101356
  • Filename
    1101356
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=822591