• DocumentCode
    946383
  • Title

    Test for two-variable local positivity with applications

  • Author

    Bose, N.K.

  • Author_Institution
    University of Pittsburgh, Pittsburgh, PA
  • Volume
    64
  • Issue
    9
  • fYear
    1976
  • Firstpage
    1438
  • Lastpage
    1439
  • Abstract
    A procedure for determining whether or not a polynomial V(x1,x2) is positive in the region defined by a ≤ x1≤ b and c ≤ x2≤ d, is discussed, where x1and x2are real variables and a, b, c, d are arbitrary real constants. Two physically motivated examples are given to illustrate the procedure.
  • Keywords
    Limit-cycles; Nonlinear systems; Polynomials; Reactive power; Stability; System testing;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1976.10344
  • Filename
    1454613