DocumentCode
114828
Title
Control of convex-monotone systems
Author
Rantzer, Anders ; Bernhardsson, Bo
Author_Institution
Autom. Control LTH & the LCCC Linnaeus Center, Lund Univ., Lund, Sweden
fYear
2014
fDate
15-17 Dec. 2014
Firstpage
2378
Lastpage
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.
Keywords
control system synthesis; convex programming; evolutionary computation; nonlinear dynamical systems; optimal control; control design; convex optimization; convex-monotone systems; evolutionary dynamics; nonlinear dynamical systems; power networks; state trajectory; voltage stability; Convex functions; Drugs; Generators; Power system stability; Sociology; Statistics;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location
Los Angeles, CA
Print_ISBN
978-1-4799-7746-8
Type
conf
DOI
10.1109/CDC.2014.7039751
Filename
7039751
Link To Document