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

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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:
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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