On the Design of Lyapunov Functions for State-Dependent Impulsive

Authors:	Burlion Laurent, L2S-CNRS, France Ahmed-Ali Tarek, ENSIETA, France Lamnabhi-Lagarrigue Françoise, L2S-CNRS, France
Topic:	1.3 Discrete Event and Hybrid Systems
Session:	Discrete Event and Hybrid Systems
Keywords:	Nonlinear systems, Hybrid systems, Lyapunov methods

Abstract

In this paper, we use viability tools to design Lyapunov functionsfor nonlinear state-dependent impulsive dynamical systems : themain idea is to partition the continuous state space . Theapproach enables to address fundamental issues in Hybrid systemssuch as accessibility and controllability.