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On the Kalman-Yakubovich-Popov Lemma for Positive Systems

Rantzer, Anders LU (2012) 51st IEEE Conference on Decision and Control, 2012 In Proceedings of 51st IEEE Conference on Decision and Control p.7482-7484
Abstract
The classical Kalman-Yakubovich-Popov lemma gives conditions for solvability of a certain inequality in terms of a symmetric matrix. The lemma has numerous applications in systems theory and control. Recently, it has been shown that for positive systems, important versions of the lemma can equivalently be stated in terms of a diagonal matrix rather than a general symmetric one. This paper generalizes these results and a new proof is given.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Proceedings of 51st IEEE Conference on Decision and Control
pages
3 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
51st IEEE Conference on Decision and Control, 2012
external identifiers
  • wos:000327200407113
  • scopus:84874264860
ISSN
0191-2216
project
LCCC
language
English
LU publication?
yes
id
a61e18df-d41e-4ad6-b9c9-ff46bdc49af1 (old id 3625966)
date added to LUP
2013-03-27 11:14:44
date last changed
2017-08-27 04:52:51
@inproceedings{a61e18df-d41e-4ad6-b9c9-ff46bdc49af1,
  abstract     = {The classical Kalman-Yakubovich-Popov lemma gives conditions for solvability of a certain inequality in terms of a symmetric matrix. The lemma has numerous applications in systems theory and control. Recently, it has been shown that for positive systems, important versions of the lemma can equivalently be stated in terms of a diagonal matrix rather than a general symmetric one. This paper generalizes these results and a new proof is given.},
  author       = {Rantzer, Anders},
  booktitle    = {Proceedings of 51st IEEE Conference on Decision and Control },
  issn         = {0191-2216},
  language     = {eng},
  pages        = {7482--7484},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {On the Kalman-Yakubovich-Popov Lemma for Positive Systems},
  year         = {2012},
}