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Positive systems analysis via integral linear constraints

Khong, Sei Zhen LU ; Briat, Corentin and Rantzer, Anders LU orcid (2015) 54th IEEE Conference on Decision and Control, CDC 2015 In IEEE Xplore Digital Library
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:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2015 IEEE 54th Annual Conference on Decision and Control (CDC)
series title
IEEE Xplore Digital Library
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
ISBN
978-1-4799-7886-1
DOI
10.1109/CDC.2015.7403223
language
English
LU publication?
yes
id
ef762ecb-a3cb-4694-ad07-e2b3e09fb9e0
date added to LUP
2017-02-23 17:06:12
date last changed
2025-04-04 14:11:43
@inproceedings{ef762ecb-a3cb-4694-ad07-e2b3e09fb9e0,
  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.}},
  author       = {{Khong, Sei Zhen and Briat, Corentin and Rantzer, Anders}},
  booktitle    = {{2015 IEEE 54th Annual Conference on Decision and Control (CDC)}},
  isbn         = {{978-1-4799-7886-1}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Xplore Digital Library}},
  title        = {{Positive systems analysis via integral linear constraints}},
  url          = {{https://lup.lub.lu.se/search/files/21812213/2015Khong_.pdf}},
  doi          = {{10.1109/CDC.2015.7403223}},
  year         = {{2015}},
}