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Zappavigna, Annalisa, Colaneri, Patrizio, Kirkland, Steve and Shorten, Robert N. (2010) On the preservation of co-positive Lyapunov functions under Padé discretization for positive systems. In: 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), 5-9 July 2010, Budapest, Hungary.
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Abstract
In this paper the discretization of switched and
non-switched linear positive systems using Padé approximations
is considered. We show:
1) first order diagonal Padé approximation preserves both
linear and quadratic co-positive Lyapunov functions,
higher order transformations need an additional condition
on the sampling time1;
2) positivity need not be preserved even for arbitrarily small
sampling time for certain Padé approximations.
Sufficient conditions on the Padé approximations are given to
preserve positivity of the discrete-time system. Finally, some
examples are given to illustrate the efficacy of our results.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Keywords: | Lyapunov functions; Padé; positive systems; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 2195 |
| Depositing User: | Professor Steve Kirkland |
| Date Deposited: | 15 Oct 2010 11:27 |
| Refereed: | Yes |
| URI: | https://mu.eprints-hosting.org/id/eprint/2195 |
| 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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