NUI Maynooth

NUIM ePrints and eTheses Archive

NUIM Library

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

[img] Download (194kB)

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;
Subjects: Science & Engineering > 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:

Repository Staff Only(login required)

View Item Item control page

Document Downloads

More statistics for this item...