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Mason, Oliver and Verwoerd, Mark (2009) Observations on the Stability Properties of Cooperative Systems. Systems and Control Letters, 58 (6). pp. 461-467. ISSN 0167-6911
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Abstract
We extend two fundamental properties of positive linear time-invariant (LTI) systems to homogeneous
cooperative systems. Specifically, we demonstrate that such systems are D-stable, meaning
that global asymptotic stability is preserved under diagonal scaling. We also show that a delayed
homogeneous cooperative system is globally asymptotically stable (GAS) for any non-negative delay if
and only if the system is GAS for zero delay.
| Item Type: | Article |
|---|---|
| Additional Information: | Draft version |
| Keywords: | Positive systems; Cooperative systems; Global asymptotic stability; Delay; D-stability; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 2219 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 27 Oct 2010 16:02 |
| Journal or Publication Title: | Systems and Control Letters |
| Publisher: | Elsevier |
| Refereed: | No |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/2219 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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