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Positive systems analysis via integral linear constraints

Khong, Sei Zhen LU ; Briat, Corentin and Rantzer, Anders LU (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
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
IEEE Xplore Digital Library
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
54th IEEE Conference on Decision and Control, CDC 2015
DOI
10.1109/CDC.2015.7403223
language
English
LU publication?
yes
id
ef762ecb-a3cb-4694-ad07-e2b3e09fb9e0 (old id 7763980)
date added to LUP
2017-02-23 17:06:12
date last changed
2017-08-25 04:00:16
@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    = {IEEE Xplore Digital Library},
  language     = {eng},
  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},
  year         = {2015},
}