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Shorten, Robert N., Corless, M., Sajja, S. and Solmaz, S. (2010) On Pade Approximations and the Preservation of Quadratic Stability for Switched Linear Systems. International Journal of Control. ISSN 0020-7179 (Unpublished)
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Abstract
In this note we consider the stability preserving properties of diagonal Pad´e approximations
to the matrix exponential. We show that while diagonal Pad´e approximations preserve
quadratic stability when going from continuous-time to discrete-time, the converse is not
true. We discuss the implications of this result for discretising switched linear systems. We
also show that for continuous-time switched systems which are exponentially stable, but not
quadratically stable, a Pad´e approximation may not preserve stability.
| Item Type: | Article |
|---|---|
| Additional Information: | Preprint |
| Keywords: | Pade Approximations; Quadratic Stability; Switched Linear Systems; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 2248 |
| Depositing User: | Dr. Robert Shorten |
| Date Deposited: | 10 Nov 2010 16:38 |
| Journal or Publication Title: | International Journal of Control |
| Publisher: | Taylor & Francis |
| Refereed: | No |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2248 |
| 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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