Conditions of self-oscillations in generalized Persidskii systems

Wang, Jian; Mendoza Avila, Jésus; Efimov, Denis; Aleksandrov, Alexander Yu; Fridman, Leonid

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1109/TAC.2021.3066581

Titre :

Conditions of self-oscillations in generalized Persidskii systems

Auteur(s) :

Wang, Jian [Auteur]
Hangzhou Dianzi University [HDU]
Mendoza Avila, Jésus [Auteur]
Universidad Nacional Autónoma de México = National Autonomous University of Mexico [UNAM]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Aleksandrov, Alexander Yu [Auteur]
Saint Petersburg State University [SPBU]
Fridman, Leonid [Auteur]
Universidad Nacional Autónoma de México = National Autonomous University of Mexico [UNAM]

Titre de la revue :

IEEE Transactions on Automatic Control

Éditeur :

Institute of Electrical and Electronics Engineers

Date de publication :

2021-03-17

ISSN :

0018-9286

Discipline(s) HAL :

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

Résumé en anglais : [en]

For a class of generalized Persidskii systems, whose dynamics are described by superposition of a linear part with multiple sector nonlinearities and exogenous perturbations, the conditions of practical stability, instability ...
Lire la suite >For a class of generalized Persidskii systems, whose dynamics are described by superposition of a linear part with multiple sector nonlinearities and exogenous perturbations, the conditions of practical stability, instability and oscillatory behavior in the sense of Yakubovich are established. For this purpose the conditions of local instability at the origin and global boundedness of solutions (practical input-to-state stability) are developed in the form of linear matrix inequalities. The proposed theory is applied to investigate robustness to unmodeled dynamics of nonlinear feedback controls in linear systems, and to determine the presence of oscillations in the models of neurons.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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