Time-relevant 2D behaviors
Time-relevant 2D behaviors
In this work we present some results on 2D behaviors described by linear constant coefficient partial difference equations where one of the independent variables, “time”, is distinguished and plays a special role. We call such systems ‘time-relevant’. We first give a test to check time-relevance starting from an arbitrary description of the behavior. Then, we introduce a stability notion for these systems and provide an algebraic test in terms of the location of the zeros of the determinant of a polynomial matrix describing the system.
Napp, Diego
107735f1-91ab-4417-8275-b6f365e2a666
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, Paula
979fec2c-cc98-483b-a21c-534ab8788ce9
September 2011
Napp, Diego
107735f1-91ab-4417-8275-b6f365e2a666
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, Paula
979fec2c-cc98-483b-a21c-534ab8788ce9
Napp, Diego, Rapisarda, Paolo and Rocha, Paula
(2011)
Time-relevant 2D behaviors.
nDs '11-7th International Workshop on Multidimensional Systems, Poitiers, France.
05 - 07 Sep 2011.
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Conference or Workshop Item
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Abstract
In this work we present some results on 2D behaviors described by linear constant coefficient partial difference equations where one of the independent variables, “time”, is distinguished and plays a special role. We call such systems ‘time-relevant’. We first give a test to check time-relevance starting from an arbitrary description of the behavior. Then, we introduce a stability notion for these systems and provide an algebraic test in terms of the location of the zeros of the determinant of a polynomial matrix describing the system.
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Napp-Rapisarda-Rocha-NDS2011.pdf
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Published date: September 2011
Additional Information:
Event Dates: 5-7 September 2011
Venue - Dates:
nDs '11-7th International Workshop on Multidimensional Systems, Poitiers, France, 2011-09-05 - 2011-09-07
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 272756
URI: http://eprints.soton.ac.uk/id/eprint/272756
PURE UUID: c1beed4e-d7fd-4d34-b3c1-ae8c99a2bfda
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Date deposited: 09 Sep 2011 08:55
Last modified: 14 Mar 2024 10:09
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Contributors
Author:
Diego Napp
Author:
Paolo Rapisarda
Author:
Paula Rocha
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