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Samadi Bokharaie, Vahid, Mason, Oliver and Verwoerd, Mark (2010) D-Stability and Delay-independent stability of homogeneous cooperative systems. IEEE Transactions on Automatic Control, 55 (12). ISSN 0018-9286
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Abstract
We introduce a nonlinear definition of D-stability, extending
the usual concept for positive linear time-invariant systems. We show that
globally asymptotically stable, cooperative systems, homogeneous of any
order with respect to arbitrary dilation maps are D-stable. We also prove
a strong stability result for delayed cooperative homogeneous systems. Fi-
nally, we show that both of these results also hold for planar cooperative
systems without the restriction of homogeneity.
| Item Type: | Article |
|---|---|
| Keywords: | Globally asymptotically stable GAS; linear time-in- variant; LTI; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 6057 |
| Identification Number: | 10.1109/TAC.2010.2076334 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 22 Apr 2015 13:37 |
| Journal or Publication Title: | IEEE Transactions on Automatic Control |
| Publisher: | IEEE |
| Refereed: | Yes |
| Related URLs: | |
| 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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