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Control of convex-monotone systems

Rantzer, Anders LU and Bernhardsson, Bo LU orcid (2014) 53rd IEEE Conference on Decision and Control p.2378-2383
Abstract
We define the notion of convex-monotone system and prove that for such systems the state trajectory x(⋅) is a convex function of the initial state x(0) and the input trajectory u(⋅). This observation gives a useful class of nonlinear dynamical systems for which control design can be performed by convex optimization. Applications to evolutionary dynamics of diseases and voltage stability in power networks are presented.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to conference
publication status
published
subject
pages
2378 - 2383
conference name
53rd IEEE Conference on Decision and Control
conference location
Los Angeles, CA, United States
conference dates
2014-12-15
external identifiers
  • scopus:84961995814
project
LCCC
language
English
LU publication?
yes
id
2119eeba-9349-4446-8168-cbc723d76b50 (old id 4926672)
date added to LUP
2016-04-04 12:59:19
date last changed
2021-10-06 03:25:13
@misc{2119eeba-9349-4446-8168-cbc723d76b50,
  abstract     = {We define the notion of convex-monotone system and prove that for such systems the state trajectory x(⋅) is a convex function of the initial state x(0) and the input trajectory u(⋅). This observation gives a useful class of nonlinear dynamical systems for which control design can be performed by convex optimization. Applications to evolutionary dynamics of diseases and voltage stability in power networks are presented.},
  author       = {Rantzer, Anders and Bernhardsson, Bo},
  language     = {eng},
  pages        = {2378--2383},
  title        = {Control of convex-monotone systems},
  year         = {2014},
}