On the Kalman-Yakubovich-Popov Lemma for Positive Systems
(2012) 51st IEEE Conference on Decision and Control, 2012 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3625966
- author
- Rantzer, Anders LU
- organization
- publishing date
- 2012
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 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
- conference location
- Maui, Hawaii, United States
- conference dates
- 2012-12-10 - 2012-12-13
- 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
- 2016-04-01 14:23:06
- date last changed
- 2024-06-04 15:07:13
@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}}, url = {{https://lup.lub.lu.se/search/files/3943872/3625967.pdf}}, year = {{2012}}, }