Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

The Yakubovich-Kalman-Popov lemma and stability analysis of dynamic output feedback systems

Johansson, Rolf LU orcid and Robertsson, Anders LU (2006) In International Journal of Robust and Nonlinear Control 16(2). p.45-69
Abstract
This paper presents theory related to stability analysis and stability criteria relevant for observer-based feedback control systems. To this purpose, a special formulation of the Yakubovich-Kalman-Popov (YKP) lemma is provided. We exploit that controllability is not necessary for existence of Lur'e-Lyaptinov functions as used in stability criteria. Constructive means for dynamic output feedback stabilization, positivity, factorization and passivity are provided. Copyright (c) 2005 John Wiley & Sons, Ltd.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
positive realness, passivity, factorization, dynamic output feedback, stability, nonlinear systems
in
International Journal of Robust and Nonlinear Control
volume
16
issue
2
pages
45 - 69
publisher
John Wiley and Sons
external identifiers
  • wos:000234943700001
  • scopus:31544449116
ISSN
1099-1239
DOI
10.1002/rnc.1038
project
LU Robotics Laboratory
language
English
LU publication?
yes
id
1221c5a9-758e-4b47-8e26-df96f260d066 (old id 419446)
date added to LUP
2016-04-01 12:01:17
date last changed
2021-01-06 01:14:32
@article{1221c5a9-758e-4b47-8e26-df96f260d066,
  abstract     = {This paper presents theory related to stability analysis and stability criteria relevant for observer-based feedback control systems. To this purpose, a special formulation of the Yakubovich-Kalman-Popov (YKP) lemma is provided. We exploit that controllability is not necessary for existence of Lur'e-Lyaptinov functions as used in stability criteria. Constructive means for dynamic output feedback stabilization, positivity, factorization and passivity are provided. Copyright (c) 2005 John Wiley & Sons, Ltd.},
  author       = {Johansson, Rolf and Robertsson, Anders},
  issn         = {1099-1239},
  language     = {eng},
  number       = {2},
  pages        = {45--69},
  publisher    = {John Wiley and Sons},
  series       = {International Journal of Robust and Nonlinear Control},
  title        = {The Yakubovich-Kalman-Popov lemma and stability analysis of dynamic output feedback systems},
  url          = {http://dx.doi.org/10.1002/rnc.1038},
  doi          = {10.1002/rnc.1038},
  volume       = {16},
  year         = {2006},
}