• DocumentCode
    1217994
  • Title

    Algorithm for positive realization of transfer functions

  • Author

    Nagy, Béla ; Matolcsi, M.

  • Author_Institution
    Math. Dept., Tech. Univ., Budapest, Hungary
  • Volume
    50
  • Issue
    5
  • fYear
    2003
  • fDate
    5/1/2003 12:00:00 AM
  • Firstpage
    699
  • Lastpage
    702
  • Abstract
    The aim of this brief is to present a finite-step algorithm for the positive realization of a rational transfer function H(z). In comparison with previously described algorithms we emphasize that we do not make an a priori assumption on (but, instead, include a finite step procedure for checking) the nonnegativity of the impulse-response sequence of H(z). For primitive transfer functions a new method for reducing the pole order of the dominant pole is also proposed.
  • Keywords
    discrete time systems; linear systems; pole assignment; rational functions; transfer functions; transient response; discrete time-invariant linear system; dominant pole; finite step procedure; impulse-response sequence; nonnegativity; pole order reduction; positive linear systems; positive realization; primitive transfer functions; rational transfer function; Chemicals; Circuits; Linear systems; Mathematics; Observability; Routing; State-space methods; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/TCSI.2003.811014
  • Filename
    1203832