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Shorten, Robert N., Corless, M., Sajja, S. and Solmaz, S. (2011) On Padé approximations, quadratic stability and discretization of switched linear systems. Systems & Control Letters, 60 (9). pp. 683-689. ISSN 0167-6911
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Abstract
In this note we consider the stability preserving properties of diagonal Padé approximations to the matrix exponential. We show that while diagonal Padé 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 discretizing switched linear systems. We also show that for continuous-time switched systems which are exponentially stable, but not quadratically stable, a Padé approximation may not preserve stability.
| Item Type: | Article |
|---|---|
| Keywords: | Padé approximations; Quadratic stability; Switched linear systems and discretization; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 20580 |
| Identification Number: | 10.1016/j.sysconle.2011.04.024 |
| Depositing User: | Dr. Robert Shorten |
| Date Deposited: | 18 Sep 2025 13:23 |
| Journal or Publication Title: | Systems & Control Letters |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/20580 |
| 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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