• DocumentCode
    490079
  • Title

    A Reachability Test for Systems over Polynomial Rings using Gröbner Bases

  • Author

    Habets, L.C.G.J.M.

  • Author_Institution
    Eindhoven University of Technology, Department of Mathematics and Computing Science, P.O. Box 513, NL-5600 MB Eindhoven, The Netherlands
  • fYear
    1993
  • fDate
    2-4 June 1993
  • Firstpage
    226
  • Lastpage
    230
  • Abstract
    Conditions for the reachability of a system over a polynomial ring are well known in the literature. However, verification of these conditions is in general a difficult problem. In this paper, the reachability problem is expressed in terms of polynomial ideals, and Gröbner Bases are used to carry out the test explicitly. Four different methods are proposed, and their effectiveness is compared. With one of these methods, it is also possible to obtain a right-or left-inverse of a general non-square polynomial matrix, often required in the design of feedback compensators.
  • Keywords
    Algebra; Control systems; Delay; Discrete time systems; Equations; Feedback; Mathematics; Observability; Polynomials; System testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1993
  • Conference_Location
    San Francisco, CA, USA
  • Print_ISBN
    0-7803-0860-3
  • Type

    conf

  • Filename
    4792842
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=490079