Positive systems analysis via integral linear constraints
Khong, Sei Zhen LU ; Briat, Corentin and Rantzer, Anders LU
(2016)
54th IEEE Conference on Decision and Control, CDC 2015
2016-February.
p.6373-6378
- Abstract
Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees feedback positivity. Furthermore, the notion of integral linear constraints (ILC) is utilised as a tool to characterise uncertainty in positive feedback systems. Robustness analysis of positive linear time-varying and nonlinear feedback systems is studied using ILC, paralleling the well-known results based on integral quadratic constraints.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/e2076b1c-28cc-4635-ae72-6b8eb1f9f633
- author
- Khong, Sei Zhen
LU
; Briat, Corentin
and Rantzer, Anders
LU
- organization
- publishing date
- 2016-02-08
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- closed-loop positivity, integral linear constraints, positive systems, robust stability
- host publication
- Proceedings of the IEEE Conference on Decision and Control
- volume
- 2016-February
- article number
- 7403223
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 54th IEEE Conference on Decision and Control, CDC 2015
- conference location
- Osaka, Japan
- conference dates
- 2015-12-15 - 2015-12-18
- external identifiers
-
- scopus:84962030102
- ISBN
- 9781479978861
- DOI
- 10.1109/CDC.2015.7403223
- language
- English
- LU publication?
- yes
- id
- e2076b1c-28cc-4635-ae72-6b8eb1f9f633
- date added to LUP
- 2016-07-14 14:40:48
- date last changed
- 2025-04-04 14:48:03
@inproceedings{e2076b1c-28cc-4635-ae72-6b8eb1f9f633,
abstract = {{<p>Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees feedback positivity. Furthermore, the notion of integral linear constraints (ILC) is utilised as a tool to characterise uncertainty in positive feedback systems. Robustness analysis of positive linear time-varying and nonlinear feedback systems is studied using ILC, paralleling the well-known results based on integral quadratic constraints.</p>}},
author = {{Khong, Sei Zhen and Briat, Corentin and Rantzer, Anders}},
booktitle = {{Proceedings of the IEEE Conference on Decision and Control}},
isbn = {{9781479978861}},
keywords = {{closed-loop positivity; integral linear constraints; positive systems; robust stability}},
language = {{eng}},
month = {{02}},
pages = {{6373--6378}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{Positive systems analysis via integral linear constraints}},
url = {{http://dx.doi.org/10.1109/CDC.2015.7403223}},
doi = {{10.1109/CDC.2015.7403223}},
volume = {{2016-February}},
year = {{2016}},
}