• DocumentCode
    1714085
  • Title

    Calculation of zero dynamics using the Ritt algorithm

  • Author

    Fortell, Håkan

  • Author_Institution
    Dept. of Electr. Eng., Linkoping Univ., Sweden
  • Volume
    4
  • fYear
    1994
  • Firstpage
    3271
  • Abstract
    This paper shows how differential algebra, in particular the Ritt algorithm, can be used to calculate zero dynamics of a polynomial system. We show that for affine polynomial SISO systems the Ritt algorithm gives a result which is equivalent to the ordinary zero dynamics. Furthermore it is shown how the algorithm can be used to calculate zero dynamics for more general affine systems. We also discuss zero dynamics of generalized state-space descriptions
  • Keywords
    differential equations; dynamics; nonlinear systems; poles and zeros; polynomial matrices; state-space methods; Ritt algorithm; affine systems; differential algebra; nonlinear systems; polynomial SISO system; state-space; zero dynamics; Algebra; Differential equations; Heuristic algorithms; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Polynomials; Zirconium;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
  • Conference_Location
    Lake Buena Vista, FL
  • Print_ISBN
    0-7803-1968-0
  • Type

    conf

  • DOI
    10.1109/CDC.1994.411644
  • Filename
    411644