Observations on the Stability Properties of Cooperative Systems


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
URI:

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