New approach of stability switched nonlinear system

In this paper we consider the problem of the stability of switched nonlinear systems. We use an optimization strategy based on Linear Matrix Inequality (LMI) and a genetic algorithm (GA), to compute the region of attraction of each subsystem. The feedback control will be designed to guarantee global stability by means the multiply Lyapunov functions under a switching signal. The implementation and efficacy of this approach are illustrated through simulations using a hybrid van der pool model.