Generalized Lyapunov Exponents of Homogeneous Systems - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2019

Generalized Lyapunov Exponents of Homogeneous Systems

Résumé

The paper deals the method of Lyapunov exponents for a class of a generalized homogeneous systems. Homogeneous systems may have some sup-exponential and super-exponential grows. In this case, the method of Lyapunov exponents becomes non-informative, e.g. all Lyapunov exponents may equal to zero but the system is globally uniformly asymptotically stable. In this paper we propose an approach which allows us to analyze a behavior of such homogeneous systems by means of the method of Lyapunov exponents.

Domaines

Automatique
Fichier principal
Vignette du fichier
main.pdf (282.93 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02285137 , version 1 (12-09-2019)

Identifiants

  • HAL Id : hal-02285137 , version 1

Citer

Andrey Polyakov, Sergiy Zhuk. Generalized Lyapunov Exponents of Homogeneous Systems. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02285137⟩
75 Consultations
238 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More