Title :
A unifying framework for the circle criterion and other quadratic stability criteria
Author :
Shorten, R.N. ; Mason, O. ; O´Cairbre, F. ; Curran, P.
Author_Institution :
Hamilton Institute, NUI Maynooth, Co. Kildare, Ireland
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.
Keywords :
Context; Eigenvalues and eigenfunctions; Kalman filters; Linear systems; Lyapunov methods; Stability criteria; Time-domain analysis; Common quadratic Lyapunov functions; Kalman-Yakubovich-Popov Lemma; Lur´e Systems; Stability; Switched Linear Systems;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
