Conditions of self-oscillations in generalized Persidskii systems

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

Document type :

Article dans une revue scientifique

DOI :

10.1109/TAC.2021.3066581

Title :

Conditions of self-oscillations in generalized Persidskii systems

Author(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]

Journal title :

IEEE Transactions on Automatic Control

Publisher :

Institute of Electrical and Electronics Engineers

Publication date :

2021-03-17

ISSN :

0018-9286

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

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

Source :

Harvested from HAL

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