Strict system equivalence of 2D linear discrete state space models

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Abstract

The connection between the polynomial matrix descriptions (PMDs) of the well-known regular and singular 2D linear discrete state space models is considered. It is shown that the transformation of strict system equivalence in the sense of Fuhrmann provides the basis for this connection. The exact form of the transformation is established for both the regular and singular cases.

Original languageEnglish
Article number609276
JournalJournal of Control Science and Engineering
Volume2012
DOIs
Publication statusPublished - 2012

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State-space Model
Discrete Model
Equivalence
Polynomials
Polynomial Matrices
Form

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Modelling and Simulation

Cite this

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abstract = "The connection between the polynomial matrix descriptions (PMDs) of the well-known regular and singular 2D linear discrete state space models is considered. It is shown that the transformation of strict system equivalence in the sense of Fuhrmann provides the basis for this connection. The exact form of the transformation is established for both the regular and singular cases.",
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