Nonlinear Impulsive Systems: 2D Stability Analysis Approach

Héctor Ríos (1) , Laurentiu Hetel (2) , Denis Efimov (3)

1 UC Santa Barbara - University of California [Santa Barbara]
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 NON-A - Non-Asymptotic estimation for online systems

This paper contributes to the stability analysis for nonlinear impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The new method relies on a 2D time domain representation. Different types of stability notions for a class of nonlinear impulsive systems are studied using a vector Lyapunov function approach. The results are applied to analyze the stability of a class of Lipschitz nonlinear impulsive systems based on Linear Matrix Inequalities. Some numerical examples illustrate the feasibility of the proposed approach.

Mots clés: Nonlinear impulsive systems; Stability; 2D systems

Domaines: Automatique / Robotique

Héctor Ríos, Laurentiu Hetel, Denis Efimov. Nonlinear Impulsive Systems: 2D Stability Analysis Approach. Automatica, 2017, 80, pp.32-40. ⟨10.1016/j.automatica.2017.01.010⟩. ⟨hal-01437308⟩