Nonlinear Impulsive Systems: 2D Stability Analysis Approach - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Automatica Year : 2017

Nonlinear Impulsive Systems: 2D Stability Analysis Approach

Abstract

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.

Domains

Automatic
Fichier principal
Vignette du fichier
_HS_2D.pdf (456.01 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01437308 , version 1 (17-01-2017)

Identifiers

Cite

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⟩
202 View
477 Download

Altmetric

Share

Gmail Facebook X LinkedIn More