Relaxing the conditions of ISS for multistable periodic systems

Efimov, Denis; Schiffer, Johannes; Barabanov, Nikita; Ortega, Romeo

Type de document :

Communication dans un congrès avec actes

DOI :

10.1016/j.ifacol.2017.08.1365

Titre :

Relaxing the conditions of ISS for multistable periodic systems

Auteur(s) :

Efimov, Denis [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Schiffer, Johannes [Auteur]
University of Leeds
Barabanov, Nikita [Auteur]
University of North Dakota [Grand Forks] [UND]
Ortega, Romeo [Auteur]
Laboratoire des signaux et systèmes [L2S]

Titre de la manifestation scientifique :

IFAC 2017 - 20th World Congress of the International Federation of Automatic Control

Ville :

Toulouse

Pays :

France

Date de début de la manifestation scientifique :

2017-07-10

Mot(s)-clé(s) en anglais :

Input-to-state stability
Periodic system
Multistable system

Discipline(s) HAL :

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

Résumé en anglais : [en]

The input-to-state stability property of nonlinear dynamical systems with multiple invariant solutions is analyzed under the assumption that the system equations are periodic with respect to certain state variables. It is ...
Lire la suite >The input-to-state stability property of nonlinear dynamical systems with multiple invariant solutions is analyzed under the assumption that the system equations are periodic with respect to certain state variables. It is shown that stability can be concluded via a sign-indefinite function, which explicitly takes the systems' periodicity into account. The presented approach leverages some of the difficulties encountered in the analysis of periodic systems via positive definite Lyapunov functions proposed in Angeli and Efimov (2013, 2015). The new result is established based on the framework of cell structure introduced in Leonov (1974) and illustrated via the global analysis of a nonlinear pendulum with a constant persistent input.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

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

Source :

Harvested from HAL

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