Institutions | About Us | Help | Gaeilge
rian logo


Mark
Go Back
A Unifying Framework for the Circle Criterion and Other Quadratic Stability Criteria
Shorten, Robert N.; Mason, Oliver; Ó Cairbre, Fiacre; Curran, P.
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.
Keyword(s): Hamilton Institute; Mathematics & Statistics; Switched Linear Systems; Lur’e Systems; Stability; Common quadratic Lyapunov functions; Kalman-Yakubovich-Popov Lemma
Publication Date:
2003
Type: Book chapter
Peer-Reviewed: Yes
Institution: Maynooth University
Citation(s): Shorten, Robert N. and Mason, Oliver and 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
Publisher(s): IEEE
File Format(s): other
Related Link(s): http://eprints.maynoothuniversity.ie/6233/1/OM-Unifying-Framework.pdf
First Indexed: 2015-07-05 05:09:55 Last Updated: 2018-10-12 06:21:26