An extended Kalman-Yakubovich-Popov lemma for positive systems
Rantzer, Anders LU
(2015)
In IFAC-PapersOnLine
28(11).
p.242-245
- Abstract
An extended Kalman-Yakubovich-Popov Lemma for positive systems is proved, which generalizes earlier versions in several respects: Non-strict inequalities are treated. Matrix assumptions are less restrictive. Moreover, a new equivalence is introduced in terms of linear programming rather than semi-definite programming. As a complement, we also prove that a symmetric Metzler matrix with rn non-zero entries above the diagonal is negative semi-definite if and only if it can be written as a sum of in negative semi-definite matrices, each of which has only four non-zero entries.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2a22b7bc-590b-43bc-9414-8e178368e0cc
- author
- Rantzer, Anders
LU
- organization
- publishing date
- 2015-07-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IFAC-PapersOnLine
- volume
- 28
- issue
- 11
- pages
- 4 pages
- publisher
- IFAC Secretariat
- external identifiers
-
- scopus:84992530079
- DOI
- 10.1016/j.ifacol.2015.09.191
- language
- English
- LU publication?
- yes
- id
- 2a22b7bc-590b-43bc-9414-8e178368e0cc
- date added to LUP
- 2017-02-17 08:53:31
- date last changed
- 2023-11-16 15:20:03
@article{2a22b7bc-590b-43bc-9414-8e178368e0cc,
abstract = {{<p>An extended Kalman-Yakubovich-Popov Lemma for positive systems is proved, which generalizes earlier versions in several respects: Non-strict inequalities are treated. Matrix assumptions are less restrictive. Moreover, a new equivalence is introduced in terms of linear programming rather than semi-definite programming. As a complement, we also prove that a symmetric Metzler matrix with rn non-zero entries above the diagonal is negative semi-definite if and only if it can be written as a sum of in negative semi-definite matrices, each of which has only four non-zero entries.</p>}},
author = {{Rantzer, Anders}},
language = {{eng}},
month = {{07}},
number = {{11}},
pages = {{242--245}},
publisher = {{IFAC Secretariat}},
series = {{IFAC-PapersOnLine}},
title = {{An extended Kalman-Yakubovich-Popov lemma for positive systems}},
url = {{http://dx.doi.org/10.1016/j.ifacol.2015.09.191}},
doi = {{10.1016/j.ifacol.2015.09.191}},
volume = {{28}},
year = {{2015}},
}