• DocumentCode
    3694373
  • Title

    State representations of finitely generated nD behaviors over rings

  • Author

    Eva Zerz

  • Author_Institution
    Lehrstuhl D fü
  • fYear
    2015
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    Multidimensional linear systems that are finite-dimensional over the coefficient field admit 1D-like state space realizations. We generalize this fact to the case where the base field is replaced by an arbitrary commutative Noetherian ring. It turns out that the concept of “state spaces” has to be replaced by that of “state modules”, which are not necessarily free.
  • Keywords
    "Polynomials","Standards","Generators","Modules (abstract algebra)","Matrices","Difference equations","Context modeling"
  • Publisher
    ieee
  • Conference_Titel
    Multidimensional (nD) Systems (nDS), 2015 IEEE 9th International Workshop on
  • Type

    conf

  • DOI
    10.1109/NDS.2015.7332637
  • Filename
    7332637
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3694373