Advanced

On the Kalman-Yakubovich-Popov Lemma for Stabilizable Systems

Collado, J.; Lozano, R. and Johansson, Rolf LU (2001) In IEEE Transactions on Automatic Control 46(7). p.1089-1093
Abstract
The Kalman-Yakubovich-Popov (KYP) lemma has been a cornerstone in system theory and network analysis and synthesis. It relates an analytic property of a square transfer matrix in the frequency domain to a set of algebraic equations involving parameters of a minimal realization in time domain. This note proves that the KYP lemma is also valid for realizations which are stabilizable and observable
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
transfer function matrices, time-domain analysis, system theory, stability, network analysis, graph theory, frequency-domain analysis, Popov criterion, circuit stability
in
IEEE Transactions on Automatic Control
volume
46
issue
7
pages
1089 - 1093
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:0035391523
ISSN
0018-9286
DOI
10.1109/9.935061
language
English
LU publication?
yes
id
90a2d212-0bff-418b-80d8-f7bb2411a158 (old id 162867)
date added to LUP
2007-06-21 14:24:53
date last changed
2018-03-18 04:28:08
@article{90a2d212-0bff-418b-80d8-f7bb2411a158,
  abstract     = {The Kalman-Yakubovich-Popov (KYP) lemma has been a cornerstone in system theory and network analysis and synthesis. It relates an analytic property of a square transfer matrix in the frequency domain to a set of algebraic equations involving parameters of a minimal realization in time domain. This note proves that the KYP lemma is also valid for realizations which are stabilizable and observable},
  author       = {Collado, J. and Lozano, R. and Johansson, Rolf},
  issn         = {0018-9286},
  keyword      = {transfer function matrices,time-domain analysis,system theory,stability,network analysis,graph theory,frequency-domain analysis,Popov criterion,circuit stability},
  language     = {eng},
  number       = {7},
  pages        = {1089--1093},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Automatic Control},
  title        = {On the Kalman-Yakubovich-Popov Lemma for Stabilizable Systems},
  url          = {http://dx.doi.org/10.1109/9.935061},
  volume       = {46},
  year         = {2001},
}