Computing the domain of attraction for hybrid nonlinear system

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.