Controllable and autonomous nD linear systems
Wood, J., Rogers, E. and Owens, D.H. (1999) Controllable and autonomous nD linear systems. Multidimensional Systems and Signal Processing, 10, (1), 33-69.
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Description/Abstract
The theory of multidimensional systems suffers in certain areas from a lack of development of fundamental concepts. Using the behavioural approach, the study of linear shift-invariant nD systems can be encompassed within the well-established framework of commutative algebra, as previously shown by Oberst. We consider here the discrete case. In this paper, we take two basic properties of discrete nD systems, controllability and autonomy, and show that they have simple algebraic characterizations. We make several non-trivial generalizations of previous results for the 2D case. In particular we analyse the controllable-autonomous decomposition and the controllable subsystem of autoregressive systems. We also show that a controllable nD subsystem of $(k^q)^{(\Ints^n)}$ is precisely one which is minimal in its transfer class.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 250453 |
| Date Deposited: | 29 Mar 2000 |
| Last Modified: | 02 Mar 2012 12:38 |
| Contributors: | Wood, J. (Author) Rogers, E. (Author) Owens, D.H. (Author) |
| Date: | January 1999 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 28 |
| URI: | http://eprints.soton.ac.uk/id/eprint/250453 |
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