A relaxed characterization of ISS for periodic systems with multiple invariant sets

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

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1016/j.ejcon.2017.04.002

Titre :

A relaxed characterization of ISS for periodic systems with multiple invariant sets

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 revue :

European Journal of Control

Pagination :

1-7

Éditeur :

Elsevier

Date de publication :

2017-12-01

ISSN :

0947-3580

Discipline(s) HAL :

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

Résumé en anglais : [en]

A necessary and sufficient criterion to establish input-to-state stability (ISS) of nonlinear dynamical systems, the dynamics of which are periodic with respect to certain state variables and which possess multiple invariant ...
Lire la suite >A necessary and sufficient criterion to establish input-to-state stability (ISS) of nonlinear dynamical systems, the dynamics of which are periodic with respect to certain state variables and which possess multiple invariant solutions (equilibria, limit cycles, etc.), is provided. Unlike standard Lyapunov approaches, the condition is relaxed and formulated via a sign-indefinite function with sign-definite derivative, and by taking the system's periodicity explicitly into account. The new result is established by using the framework of cell structure and it complements the ISS theory of multistable dynamics for periodic systems. The efficiency of the proposed approach is illustrated via the global analysis of a nonlinear pendulum with 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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