Title :
Computing the domain of attraction for hybrid nonlinear system
Author :
Fai?al Hamidi;Mohamed Naceur Abdelkrim
Author_Institution :
Research Unity of Modeling Analysis and Commands of Systems, MACS, Gabes, Tunisia
Abstract :
In this paper we discuss the enlargement of the Domain of Attraction (DA) of nonlinear hybrid system. Combination of LMI with Genetic Algorithms (GA) results in a sufficient enlargement of DA. A common Lyapunov function is estimated by the GA and a lower bound is computed by LMI optimization. The proposed approach is validated by a switched van der Pool system.
Keywords :
"Lyapunov methods","Switches","Optimization","Switched systems","Nonlinear systems","Genetic algorithms","Stability analysis"
Conference_Titel :
Sciences and Techniques of Automatic Control and Computer Engineering (STA), 2015 16th International Conference on
DOI :
10.1109/STA.2015.7505224