| dc.contributor.author | Guiver, C | |
| dc.contributor.author | Hodgson, D | |
| dc.contributor.author | Townley, S | |
| dc.date.accessioned | 2016-08-30T09:27:10Z | |
| dc.date.issued | 2016-11-16 | |
| dc.description.abstract | A result is presented describing the eigenvectors of a perturbed matrix, for a class of structured perturbations. One motivation for doing so is that positive eigenvectors of nonnegative, irreducible matrices are known to induce norms — acting much like Lyapunov functions — for linear positive systems, which may help estimate or control transient dynamics. The results apply to both discrete- and continuous-time linear positive systems. The theory is illustrated with several examples. | en_GB |
| dc.description.sponsorship | The present research was supported by EPSRC grant EP/I019456/1. | en_GB |
| dc.identifier.citation | Vol. 509, pp. 143 - 167 | en_GB |
| dc.identifier.doi | 10.1016/j.laa.2016.07.010 | |
| dc.identifier.uri | http://hdl.handle.net/10871/23206 | |
| dc.language.iso | en | en_GB |
| dc.publisher | Elsevier | en_GB |
| dc.rights | © 2016 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). | en_GB |
| dc.subject | Perturbation theory | en_GB |
| dc.subject | Stability radius | en_GB |
| dc.subject | Linear positive systems | en_GB |
| dc.subject | Transient dynamics | en_GB |
| dc.subject | Lyapunov function | en_GB |
| dc.title | A note on the eigenvectors of perturbed matrices with applications to linear positive systems | en_GB |
| dc.type | Article | |
| dc.date.available | 2016-08-30T09:27:10Z | |
| dc.identifier.issn | 0024-3795 | |
| dc.description | This is the author accepted manuscript. The final version is available from the publisher via the DOI in this record. | en_GB |
| dc.identifier.journal | Linear Algebra and Its Applications | en_GB |
