Characterization of a class of spatially interconnected systems (ladder circuits) using two-dimensional systems theory

Mohamed S. Boudellioua, Krzysztof Galkowski*, Eric Rogers

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This paper considers a class of spatially interconnected systems formed by ladder circuits using two-dimensional systems theory. The individual circuits in this class are described by hybrid (continuous/discrete) linear differential/difference equations in time (continuous) and spatial (discrete) variables and therefore have a two-dimensional systems structure. This paper shows that a ladder circuit model and models for 2-D dynamics have a well defined equivalence property and hence analysis tools can be transferred between them. Also the mechanism for transforming one to the other is established.

Original languageEnglish
Pages (from-to)2185-2197
Number of pages13
JournalMultidimensional Systems and Signal Processing
Volume30
Issue number4
DOIs
Publication statusPublished - 2019

Keywords

  • Ladder circuit networks
  • Spatially interconnected systems
  • Two-dimensional systems
  • 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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