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

Mohamed Salah Boudellioua, Krzysztof Galkowski, Eric Rogers

Research output: Contribution to journalArticle

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
JournalMultidimensional Systems and Signal Processing
DOIs
Publication statusPublished - Jan 1 2019

Fingerprint

Interconnected Systems
Ladders
Two-dimensional Systems
System theory
Systems Theory
Large scale systems
Networks (circuits)
Differential-difference Equations
Discrete Variables
Difference equations
Well-defined
Continuous Time
Linear equation
Equivalence
Model
Class

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

Cite this

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AB - 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.

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