Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes

Mohamed S. Boudellioua, Krzysztof Galkowski*, Eric Rogers

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The elementary operations algorithm is used to establish that a system matrix describing a discrete linear repetitive process can be transformed to that of a 2-D nonsingular Roesser model where all the input–output properties are preserved. Moreover, the connection between these system matrices is shown to be input–output equivalence. The exact forms of the resulting system matrix and the transformation involved are established. Some areas for possible future use/application of the developed results are also briefly discussed.

Original languageEnglish
Pages (from-to)2673-2681
Number of pages9
JournalInternational Journal of Control
Issue number12
Publication statusPublished - Dec 2 2018


  • 2-D discrete systems
  • 2-D non-singular Roesser form
  • Linear repetitive processes
  • input–output equivalence
  • system matrix

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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