Null-controllability of linear hyperbolic systems in one dimensional space - Inria EPFL Access content directly
Journal Articles Systems and Control Letters Year : 2021

Null-controllability of linear hyperbolic systems in one dimensional space

Abstract

This paper is devoted to the controllability of a general linear hyperbolic system in one space dimension using boundary controls on one side. Under precise and generic assumptions on the boundary conditions on the other side, we previously established the optimal time for the null and the exact controllability for this system for a generic source term. In this work, we prove the null-controllability for any time greater than the optimal time and for any source term. Similar results for the exact controllability are also discussed.
Fichier principal
Vignette du fichier
v1.pdf (376.12 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02334761 , version 1 (27-10-2019)

Identifiers

Cite

Jean-Michel Coron, Hoai-Minh Nguyen. Null-controllability of linear hyperbolic systems in one dimensional space. Systems and Control Letters, 2021, 148, ⟨10.1016/j.sysconle.2020.104851⟩. ⟨hal-02334761⟩
80 View
61 Download

Altmetric

Share

Gmail Facebook X LinkedIn More