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:
https://lup.lub.lu.se/record/162867
- author
- Collado, J.
; Lozano, R.
and Johansson, Rolf
LU
- organization
- publishing date
- 2001
- 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
- project
- Nonlinear and Adaptive Control (NACO2) Network
- RobotLab LTH
- language
- English
- LU publication?
- yes
- id
- 90a2d212-0bff-418b-80d8-f7bb2411a158 (old id 162867)
- date added to LUP
- 2016-04-01 15:30:57
- date last changed
- 2023-01-04 17:43:16
@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}},
keywords = {{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 = {{https://lup.lub.lu.se/search/files/4410273/625713.pdf}},
doi = {{10.1109/9.935061}},
volume = {{46}},
year = {{2001}},
}