Shorten, Robert N. and Mason, Oliver and 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
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: |
https://doi.org/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 |
| URI: |
|
| 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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