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Stability Criteria for Systems with Bounded Uncertain Time-varying Delay

Kao, Chung-Yao and Rantzer, Anders LU orcid (2003) European Control Conference, 2003 p.1578-1583
Abstract
Stability in presence of bounded uncertain time-varying time delays in the feedback loop of a system is studied. The stability problem is treated in the Integral Quadratic Constraint (IQC) framework. The stability criterion is formulated as frequency dependent linear matrix inequalities. The criterion can be equivalently formulated as a Semi-Definite Program (SDP) using Kalman-Yakubovich-Popov lemma. Therefore, checking the criterion can be done efficiently by using various SDP solvers
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
SDP, Kalman-Yakubovich-Popov lemma, LMI, semidefinite program, linear systems, frequency dependent linear matrix inequalities, IQC, integral quadratic constraint, feedback loop, stability criteria, bounded uncertain time varying delay
host publication
European Control Conference ECC 2003
pages
1578 - 1583
publisher
IEE
conference name
European Control Conference, 2003
conference location
Cambridge, United Kingdom
conference dates
2003-09-01 - 2003-09-04
external identifiers
  • scopus:84949093147
language
English
LU publication?
yes
id
0ce2aecd-26bd-4dd0-a786-2e4db55dda27 (old id 536804)
alternative location
http://www.nt.ntnu.no/users/skoge/prost/proceedings/ecc03/pdfs/258.pdf
date added to LUP
2016-04-04 11:28:38
date last changed
2023-09-06 10:32:11
@inproceedings{0ce2aecd-26bd-4dd0-a786-2e4db55dda27,
  abstract     = {{Stability in presence of bounded uncertain time-varying time delays in the feedback loop of a system is studied. The stability problem is treated in the Integral Quadratic Constraint (IQC) framework. The stability criterion is formulated as frequency dependent linear matrix inequalities. The criterion can be equivalently formulated as a Semi-Definite Program (SDP) using Kalman-Yakubovich-Popov lemma. Therefore, checking the criterion can be done efficiently by using various SDP solvers}},
  author       = {{Kao, Chung-Yao and Rantzer, Anders}},
  booktitle    = {{European Control Conference ECC 2003}},
  keywords     = {{SDP; Kalman-Yakubovich-Popov lemma; LMI; semidefinite program; linear systems; frequency dependent linear matrix inequalities; IQC; integral quadratic constraint; feedback loop; stability criteria; bounded uncertain time varying delay}},
  language     = {{eng}},
  pages        = {{1578--1583}},
  publisher    = {{IEE}},
  title        = {{Stability Criteria for Systems with Bounded Uncertain Time-varying Delay}},
  url          = {{http://www.nt.ntnu.no/users/skoge/prost/proceedings/ecc03/pdfs/258.pdf}},
  year         = {{2003}},
}