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

Ríos, Hector; HETEL, Laurentiu; Efimov, Denis

Document type :

Rapport de recherche

Title :

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

Author(s) :

Ríos, Hector [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
HETEL, Laurentiu [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Efimov, Denis [Auteur]

Non-Asymptotic estimation for online systems [NON-A]

Institution :

Inria Lille - Nord Europe

Publication date :

2016-02-01

English keyword(s) :

Impulsive systems
Exponential stability
2D Systems

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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