Stability Analysis for Impulsive Systems: 2D Vector Lyapunov Function Approach

Hector Ríos (1) , L Hetel (2) , Denis Efimov (1)

1 NON-A - Non-Asymptotic estimation for online systems
2 SyNeR - Systèmes Non Linéaires et à Retards

This paper contributes to the stability analysis for impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The new method relies on a 2D time domain representation. The result is illustrated for the exponential stability of linear impulsive systems based on LMIs. The obtained results provide some notions of minimum and maximum dwell-time. Some examples illustrate the feasibility of the proposed approach.

Mots clés: Impulsive systems; Exponential stability; 2D Systems

Domaines: Automatique / Robotique

Hector Ríos, L Hetel, Denis Efimov. Stability Analysis for Impulsive Systems: 2D Vector Lyapunov Function Approach. [Research Report] Inria Lille - Nord Europe. 2016. ⟨hal-01280321⟩