Samadi Bokharaie, Vahid and 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:	https://doi.org/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
URI:	Publisher
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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