Abstract
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 language | English |
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Pages (from-to) | 341-351 |
Number of pages | 11 |
Journal | Multidimensional Systems and Signal Processing |
Volume | 28 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 1 2017 |
Keywords
- 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