• DocumentCode
    819586
  • Title

    Test for Lyapunov stability by rational operations

  • Author

    Bose, N.K.

  • Author_Institution
    University of Pittsburgh, Pittsburgh, PA, USA
  • Volume
    20
  • Issue
    5
  • fYear
    1975
  • fDate
    10/1/1975 12:00:00 AM
  • Firstpage
    700
  • Lastpage
    702
  • Abstract
    The problem of determining the positive definiteness of an arbitrary multivariable polynomial is transformed into an equivalent problem which is solvable by rational operations. Nontrivial examples which illustrate different aspects of the algorithm are given in connection with stability determination via Lyapunov´s method.
  • Keywords
    Lyapunov functions; Multivariable polynomials; Nonlinear systems, continuous-time; Asymptotic stability; Lyapunov method; Nonlinear systems; Polynomials; Sufficient conditions; System testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1101045
  • Filename
    1101045
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=819586