On Finite-Time Stabilization of Evolution ...
Document type :
Communication dans un congrès avec actes
Title :
On Finite-Time Stabilization of Evolution Equations: A Homogeneous Approach
Author(s) :
Polyakov, Andrey [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Non-Asymptotic estimation for online systems [NON-A]
Coron, Jean-Michel [Auteur]
Laboratoire Jacques-Louis Lions [LJLL]
Rosier, Lionel [Auteur]
Centre Automatique et Systèmes [CAS]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Non-Asymptotic estimation for online systems [NON-A]
Coron, Jean-Michel [Auteur]
Laboratoire Jacques-Louis Lions [LJLL]
Rosier, Lionel [Auteur]
Centre Automatique et Systèmes [CAS]
Conference title :
IEEE Conference on Decision and Control 2016
City :
Las Vegas
Country :
Etats-Unis d'Amérique
Start date of the conference :
2016-12-12
HAL domain(s) :
Informatique [cs]/Automatique
English abstract : [en]
Generalized monotone dilation in a Banach space is introduced. Classical theorems on existence and uniqueness of solutions of nonlinear evolution equations are revised. A universal homogeneous feedback control for a ...
Show more >Generalized monotone dilation in a Banach space is introduced. Classical theorems on existence and uniqueness of solutions of nonlinear evolution equations are revised. A universal homogeneous feedback control for a finite-time stabilization of linear evolution equation in a Hilbert space is designed using homogeneity concept. The design scheme is demonstrated for distributed finite-time control of heat and wave equations.Show less >
Show more >Generalized monotone dilation in a Banach space is introduced. Classical theorems on existence and uniqueness of solutions of nonlinear evolution equations are revised. A universal homogeneous feedback control for a finite-time stabilization of linear evolution equation in a Hilbert space is designed using homogeneity concept. The design scheme is demonstrated for distributed finite-time control of heat and wave equations.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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