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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: | |
| URI: | https://mu.eprints-hosting.org/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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