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Shorten, Robert N., Mason, Oliver, Ó Cairbre, Fiacre and Curran, Paul (2004) A unifying framework for the SISO circle criterion and other quadratic stability criteria. International Journal of Control, 77 (1). ISSN 0020-7179
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Abstract
We present a result on the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems. We show that this result characterizes, generalizes and provides new perspectives on several well-known stability results.
| Item Type: | Article |
|---|---|
| Additional Information: | Cite as: Robert N. Shorten, Oliver Mason, Fiacre O’Cairbre & Paul Curran (2004) A unifying framework for the SISO circle criterion and other quadratic stability criteria, International Journal of Control, 77:1, 1-8, DOI: 10.1080/00207170310001633321 |
| Keywords: | unifying framework; SISO circle criterion; quadratic stability criteria; quadratic Lyapunov function; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10089 |
| Identification Number: | 10.1080/00207170310001633321 |
| Depositing User: | Dr. Fiacre O Cairbre |
| Date Deposited: | 11 Oct 2018 13:25 |
| Journal or Publication Title: | International Journal of Control |
| Publisher: | Taylor & Francis |
| Refereed: | Yes |
| Related URLs: | |
| 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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