On the state of behaviors
Fuhrmann, Paul A., Rapisarda, Paolo and Yamamoto, Yutaka (2007) On the state of behaviors. Linear Algebra and Its Applications, 424, (2-3), 570-614.
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Description/Abstract
The theme of the present paper is the study of the concept of state and the corresponding state maps in the context of Willems’ behavioral theory. We concentrate on Markovian system and their representation in terms of first order difference or differential systems. We follow by a full analysis of the special case of state systems, the embedding of a linear system in a state system via the use of state maps arriving at state representations or, equivalently, to a realization theory for behaviors. Minimality is defined and characterized and a state space isomorphism theorem is established. Realization procedures based on the shift realization are developed as well as a rigorous analysis of the construction of state maps. The paper owes much to Rapisarda and Willems [1997].
| Item Type: | Article |
|---|---|
| Keywords: | behaviors, behavior homomorphisms, Markovian systems, state systems, realization theory, state maps, state space isomorphisms. |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 262203 |
| Date Deposited: | 29 Mar 2006 |
| Last Modified: | 02 Mar 2012 13:20 |
| Contributors: | Fuhrmann, Paul A. (Author) Rapisarda, Paolo (Author) Yamamoto, Yutaka (Author) |
| Date: | September 2007 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 10 |
| URI: | http://eprints.soton.ac.uk/id/eprint/262203 |
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