Singular 2D behaviors: Homologies
Singular 2D behaviors: Homologies
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.
139-157
Lomadze, V
81f588f3-7588-4777-9052-7116a8c81033
Wood, J
9d32c83e-9d59-4c32-8ab2-a5f64ecc26e6
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
2008
Lomadze, V
81f588f3-7588-4777-9052-7116a8c81033
Wood, J
9d32c83e-9d59-4c32-8ab2-a5f64ecc26e6
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Lomadze, V, Wood, J and Rogers, E
(2008)
Singular 2D behaviors: Homologies.
Georgian Mathematical Journal, (1), .
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.
This record has no associated files available for download.
More information
Published date: 2008
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 264928
URI: http://eprints.soton.ac.uk/id/eprint/264928
PURE UUID: 85c12cc2-2ba1-479a-8968-c4fb84075cb5
Catalogue record
Date deposited: 06 Dec 2007 10:35
Last modified: 08 Jan 2022 02:36
Export record
Contributors
Author:
V Lomadze
Author:
J Wood
Author:
E Rogers
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics