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Mason, Oliver and Wirth, Fabian (2014) Extremal norms for positive linear inclusions. Linear Algebra and its Applications, 444. pp. 100-113. ISSN 0024-3795
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Abstract
For finite-dimensional linear semigroups which leave a proper cone invariant it is shown
that irreducibility with respect to the cone implies the existence of an extremal norm. In
case the cone is simplicial a similar statement applies to absolute norms. The semigroups
under consideration may be generated by discrete-time systems, continuous-time systems or
continuous-time systems with jumps. The existence of extremal norms is used to extend
results on the Lipschitz continuity of the joint spectral radius beyond the known case of
semigroups that are irreducible in the representation theory interpretation of the word.
| Item Type: | Article |
|---|---|
| Additional Information: | This is the preprint version of the published article, which is available at doi:10.1016/j.laa.2013.11.020 |
| Keywords: | Joint spectral radius; extremal norm; linear switched systems; linear semigroups; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 6228 |
| Identification Number: | 10.1016/j.laa.2013.11.020 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 02 Jul 2015 14:54 |
| Journal or Publication Title: | Linear Algebra and its Applications |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/6228 |
| 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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