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Shorten, Robert N., Mason, Oliver, Ó Cairbre, Fiacre and Curran, P. (2003) A Unifying Framework for the Circle Criterion and Other Quadratic Stability Criteria. In: European Control Conference (ECC), 2003. IEEE, pp. 530-535. ISBN 978-3-9524173-7-9
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Abstract
We present a result on the existence of a common
quadratic Lyapunov function for a pair of linear timeinvariant
systems. We show that this result characterises,
generalises, and provides new perspectives on
several well-known stability results. In particular, new
time-domain formulations of the Circle Criterion and
Meyer’s extension of the KYP lemma are presented.
| Item Type: | Book Section |
|---|---|
| Keywords: | Switched Linear Systems; Lur’e Systems; Stability; Common quadratic Lyapunov functions; Kalman-Yakubovich-Popov Lemma; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 6233 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 03 Jul 2015 14:26 |
| Publisher: | IEEE |
| Refereed: | Yes |
| Funders: | Enterprise Ireland (EI) |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/6233 |
| 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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