Title :
Control of convex-monotone systems
Author :
Rantzer, Anders ; Bernhardsson, Bo
Author_Institution :
Autom. Control LTH & the LCCC Linnaeus Center, Lund Univ., Lund, Sweden
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;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039751
