• DocumentCode
    1264210
  • Title

    2-D partial fraction expansions and minimal commutative realizations

  • Author

    Bisiacco, Mauro ; Fornasini, Ettore ; Marchesini, Giovanni

  • Author_Institution
    Dept. of Math. & Inf. Sci., Udine Univ., Italy
  • Volume
    35
  • Issue
    12
  • fYear
    1988
  • fDate
    12/1/1988 12:00:00 AM
  • Firstpage
    1533
  • Lastpage
    1539
  • Abstract
    An analysis is presented of the class of rational functions in two variables realized by two-dimensional state-space models satisfying the commutativity assumption A1A2= A2A1. A complete characterization of these transfer functions is given in terms of the existence of a suitable partial fraction expansion. It is shown that, under the commutativity assumption, minimal realizations are unique modulo algebraic equivalence, and the minimality is equivalent to local observability and reachability
  • Keywords
    multidimensional systems; observability; state-space methods; transfer functions; SISO; local observability; local reachability; minimal commutative realizations; modulo algebraic equivalence; rational functions; transfer functions; two variables; two-dimensional state-space models; Circuits and systems; Equations; Information science; State-space methods; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.9917
  • Filename
    9917
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1264210