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On the asymptotic stability of positive 2-D systems described by the Roesser model

On the asymptotic stability of positive 2-D systems described by the Roesser model
On the asymptotic stability of positive 2-D systems described by the Roesser model
This brief investigates the asymptotic stability of positive 2D systems described by the Roesser model. A necessary and sufficient condition is derived for the asymptotic stability, which amounts to checking the spectrum radius of the system matrix. Furthermore, it can be shown that the asymptotic stability of positive 2D systems is equivalent to that of the traditional 1D systems. This observation would greatly facilitate the analysis and synthesis of positive 2D systems.
1549-7747
1102-1104
Chu, Bing
555a86a5-0198-4242-8525-3492349d4f0f
Liu, Yanhong
c4b4a3da-3e3b-4cd0-8d54-2c3e40cfa4ea
Chu, Bing
555a86a5-0198-4242-8525-3492349d4f0f
Liu, Yanhong
c4b4a3da-3e3b-4cd0-8d54-2c3e40cfa4ea

Chu, Bing and Liu, Yanhong (2007) On the asymptotic stability of positive 2-D systems described by the Roesser model. IEEE Transactions on Circuits and Systems II: Express Briefs, 54 (12), 1102-1104. (doi:10.1109/TCSII.2007.908899).

Record type: Article

Abstract

This brief investigates the asymptotic stability of positive 2D systems described by the Roesser model. A necessary and sufficient condition is derived for the asymptotic stability, which amounts to checking the spectrum radius of the system matrix. Furthermore, it can be shown that the asymptotic stability of positive 2D systems is equivalent to that of the traditional 1D systems. This observation would greatly facilitate the analysis and synthesis of positive 2D systems.

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Published date: December 2007
Organisations: Southampton Wireless Group
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Identifiers

Local EPrints ID: 336251
URI: http://eprints.soton.ac.uk/id/eprint/336251
DOI: doi:10.1109/TCSII.2007.908899
ISSN: 1549-7747
PURE UUID: 71d8faf7-8f41-4ee1-ab81-91c96b8bdd81
ORCID for Bing Chu: ORCID iD orcid.org/0000-0002-2711-8717

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Date deposited: 20 Mar 2012 12:34
Last modified: 15 Mar 2024 03:42

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Contributors

Author: Bing Chu ORCID iD
Author: Yanhong Liu

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