Singular 2D behaviors: Homologies
Lomadze, V, Wood, J and Rogers, E (2008) Singular 2D behaviors: Homologies. Georgian Mathematical Journal , (1), 139-157.
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Description/Abstract
We present a new definition of a discrete 2D behavior, which generalizes the standard notion by including trajectories from all quarter- and half-planes in Z2. Behaviors then admit certain natural homology spaces, which can be used to define controllability and autonomy, and describe finite trajectories. We discuss the regularity, controllability and autonomy of these models, and demonstrate the equivalence of suitable generalizations of controllability in the senses of Willems and of Rosenbrock, and similarly for autonomy.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 264928 |
| Date Deposited: | 06 Dec 2007 10:35 |
| Last Modified: | 02 Mar 2012 11:40 |
| Contributors: | Lomadze, V (Author) Wood, J (Author) Rogers, E (Author) |
| Date: | 2008 |
| Status: | Published |
| Further Information: | Google Scholar |
| URI: | http://eprints.soton.ac.uk/id/eprint/264928 |
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