On the connection between discrete linear repetitive processes and 2-D discrete linear systems

M. S. Boudellioua, K. Galkowski, E. Rogers

Research output: Contribution to journalArticle

13 Citations (Scopus)


A direct method is developed that reduces a polynomial system matrix describing a discrete linear repetitive process to a 2-D singular state-space form such that all the relevant properties, including the zero structure of the system matrix, are retained. It is shown that the transformation linking the original polynomial system matrix with its associated 2-D singular form is zero coprime system equivalence. The exact nature of the resulting system matrix in singular form and the transformation involved are established.

Original languageEnglish
Pages (from-to)341-351
Number of pages11
JournalMultidimensional Systems and Signal Processing
Issue number1
Publication statusPublished - Jan 1 2017



  • 2-D discrete systems
  • 2-D singular form
  • Invariant zeros
  • Linear repetitive processes
  • System matrix
  • Zero-coprime system equivalence

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Information Systems
  • Hardware and Architecture
  • Computer Science Applications
  • Artificial Intelligence
  • Applied Mathematics

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