Exponential stability criteria for neural ...
Document type :
Communication dans un congrès avec actes
Title :
Exponential stability criteria for neural network based control of nonlinear systems
Author(s) :
Jain, Ayush Kumar [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Fiter, Christophe [Auteur]
Université de Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Berdjag, Denis [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Polet, Philippe [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Fiter, Christophe [Auteur]

Université de Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Berdjag, Denis [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Polet, Philippe [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Conference title :
2020 American Control Conference (ACC)
City :
Denver
Country :
Etats-Unis d'Amérique
Start date of the conference :
2020-07-01
Publisher :
IEEE
English keyword(s) :
"Stability criteria"
"Neural networks"
"Numerical stability"
"Closed loop systems"
"Nonlinear systems"
"Neural networks"
"Numerical stability"
"Closed loop systems"
"Nonlinear systems"
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
This paper investigates the problem of exponential stability of neural network controlled sampled-data systems. The stability of the closed loop system is formulated using Lyapunov-Krasovskii approach. Using a time-dependent ...
Show more >This paper investigates the problem of exponential stability of neural network controlled sampled-data systems. The stability of the closed loop system is formulated using Lyapunov-Krasovskii approach. Using a time-dependent Lyapunov function, novel conditions are proposed to guarantee the exponential stability of a continuous aperiodically sampled nonlinear system. The stability conditions are derived in terms of solvable Linear Matrix Inequalities. Numerical results are provided to illustrate the effectiveness of the proposed approach.Show less >
Show more >This paper investigates the problem of exponential stability of neural network controlled sampled-data systems. The stability of the closed loop system is formulated using Lyapunov-Krasovskii approach. Using a time-dependent Lyapunov function, novel conditions are proposed to guarantee the exponential stability of a continuous aperiodically sampled nonlinear system. The stability conditions are derived in terms of solvable Linear Matrix Inequalities. Numerical results are provided to illustrate the effectiveness of the proposed approach.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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