• DocumentCode
    3467157
  • Title

    An algorithm for finding periodic solutions to systems of nonlinear difference equations

  • Author

    Forsman, K.

  • Author_Institution
    Dept. of EE, Linkoping Univ., Sweden
  • fYear
    1991
  • fDate
    11-13 Dec 1991
  • Firstpage
    2889
  • Abstract
    An algorithm for finding all N-periodic solutions to systems of nonlinear difference equations is given. The algorithm is based on elimination theory, and in special Grobner bases. It is applicable to polynomial systems and can handle indeterminate parameters in the system equations. The system is not required to be in state space form; implicit equations are allowed
  • Keywords
    difference equations; nonlinear differential equations; polynomials; Grobner bases; elimination theory; nonlinear difference equations; periodic solutions; polynomial systems; Adaptive filters; Algebra; Control theory; Difference equations; Discrete time systems; Filtering theory; Kalman filters; Nonlinear equations; Polynomials; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
  • Conference_Location
    Brighton
  • Print_ISBN
    0-7803-0450-0
  • Type

    conf

  • DOI
    10.1109/CDC.1991.261063
  • Filename
    261063