Control of convex-monotone systems
(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:
https://lup.lub.lu.se/record/4926672
- author
- Rantzer, Anders LU and Bernhardsson, Bo LU
- organization
- publishing date
- 2014
- 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
- 2024-06-04 15:07:16
@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}}, }