An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions - Corrected Version

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Shorten, Robert N., Mason, Oliver and King, Christopher (2009) An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions - Corrected Version. Linear Algebra and its Applications, 430 (1). pp. 34-40. ISSN 0024-3795 (Submitted)

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Abstract

The original version of this paper appeared in Linear Algebra and its Applications, volume 430, pp.34 - 40, 2009. Here we correct a slight gap in the statement and proof of Lemma 3.1 in that paper. We revisit the theorem of Barker, Berman and Plemmons on the existence of a diagonal quadratic Lyapunov function for a stable linear time-invariant (LTI) dynamical system [1]. We use recently derived results to provide an alternative proof of this result and to derive extensions.

Item Type:	Article
Keywords:	Diagonal stability; extensions; Common quadratic Lyapunov functions; Copositive diagonal Lyapunov functions;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	2218
Depositing User:	Oliver Mason
Date Deposited:	27 Oct 2010 16:04
Journal or Publication Title:	Linear Algebra and its Applications
Publisher:	Elsevier
Refereed:	No
Related URLs:	http://www.elsevier.com/wps/find/journal...
URI:	https://mural.maynoothuniversity.ie/id/eprint/2218
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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An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions - Corrected Version

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