On the asymptotic stability of positive 2-D systems described by the Roesser model
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 ).
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Description/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.
| Item Type: | Article |
|---|---|
| ISSNs: | 1057-7130 (print) 1558-3791 (electronic) |
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 336251 |
| Date Deposited: | 20 Mar 2012 12:34 |
| Last Modified: | 21 Aug 2012 04:31 |
| Contributors: | Chu, Bing (Author) Liu, Yanhong (Author) |
| Date: | December 2007 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 5 |
| URI: | http://eprints.soton.ac.uk/id/eprint/336251 |
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