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Mason, Oliver and Shorten, Robert N. (2002) On common quadratic Lyapunov functions for stable discrete-time LTI systems. Working Paper. Hamilton Institute.
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Abstract
This paper deals with the question of the existence of weak and strong common
quadratic Lyapunov functions (CQLFs) for stable discrete-time linear timeinvariant
(LTI) systems. The main result of the paper provides a simple characterisation
of pairs of such systems for which a weak CQLF of a given form exists
but for which no strong CQLF exists. An application of this result to second
order discrete-time LTI systems is presented.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Additional Information: | This is the preprint version of the article published in IMA Journal of Applied Mathematics Vol.69 No.3 (2004)pp 271-283 doi: 10.1093/imamat/69.3.271 |
| Keywords: | common quadratic; Lyapunov functions; stable discrete-time LTI systems; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 6234 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 03 Jul 2015 14:37 |
| Publisher: | Hamilton Institute |
| URI: | https://mu.eprints-hosting.org/id/eprint/6234 |
| 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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