Title :
Calculating regions of stability with evolutionary algorithms using R-functions
Author :
Rick Voßwinkel;Hendrik Richter
Author_Institution :
Department of Electrical Engineering and Information Technology, HTWK Leipzig University of Applied Sciences, Germany
fDate :
7/1/2015 12:00:00 AM
Abstract :
In this paper an algorithm is introduced which calculates the region of stability (ROS) of a nonlinear dynamical system. The search for a maximum ROS is based on Lyapunov stability theory, formulated as a constraint optimisation problem. This multimodal problem is solved by a cascaded evolutionary algorithm. R-functions are used to enhance the estimation of contour and size of the ROS.
Keywords :
"Lyapunov methods","Evolutionary computation","Optimization","Estimation","Polynomials","Sociology","Statistics"
Conference_Titel :
Control Conference (ECC), 2015 European
DOI :
10.1109/ECC.2015.7330893
