On Kalman-Yakubovich-Popov Lemma for stabilizable systems

Authors
Collado, J Lozano, R Johansson, R
Citation
J. Collado et al., On Kalman-Yakubovich-Popov Lemma for stabilizable systems, IEEE AUTO C, 46(7), 2001, pp. 1089-1093
Citations number
20
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
46
Issue
7
Year of publication
2001
Pages
1089 - 1093
Database
ISI
SICI code
0018-9286(200107)46:7<1089:OKLFSS>2.0.ZU;2-Q
Abstract
The Kalman-Yakubovich-Popov (KYP) Lemma has been a cornerstone in System Th eory and Network Analysis and Synthesis. It relates an analytic property of a square transfer matrix in the frequency domain to a set of algebraic equ ations involving parameters of a minimal realization in time domain. This n ote proves that the KYP lemma is also valid for realizations which are stab ilizable and observable.