On Finite-Time Stabilization of Evolution Equations: A Homogeneous Approach

Polyakov, Andrey; Coron, Jean-Michel; Rosier, Lionel

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]

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 >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Commande et estimation en temps fini pour les Systèmes de Systèmes

Collections :