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 language | English |
|---|---|
| Pages (from-to) | 2185-2197 |
| Number of pages | 13 |
| Journal | Multidimensional Systems and Signal Processing |
| Volume | 30 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 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