A variational approach to constrained null controllability for the heat equation

We treat the problem of constrained null controllability for heat equations on bounded smooth domains of the Euclidean space. The aim is to drive solutions to rest in a finite final time with control subject to lie in closed balls. The study is focused on both internal distributed and boundary contr...

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Bibliographic Details
Published inEuropean journal of control Vol. 52; pp. 42 - 48
Main Author Berrahmoune, Larbi
Format Journal Article
LanguageEnglish
Published Philadelphia Elsevier Ltd 01.03.2020
Elsevier Limited
Subjects
Closed balls
Constrained null controllability
Controllability
Domains
Euclidean geometry
Heat equation
Inequality
Partial differential equations
Steering
Steering control
Thermodynamics
Variational approach
Constrained null controllability
Heat equation
93B05
49J40
Steering control
35K05
93C20
Variational approach
Online AccessGet full text
ISSN0947-3580
1435-5671
DOI10.1016/j.ejcon.2019.09.006

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Summary:We treat the problem of constrained null controllability for heat equations on bounded smooth domains of the Euclidean space. The aim is to drive solutions to rest in a finite final time with control subject to lie in closed balls. The study is focused on both internal distributed and boundary controls on open subsets of the domain and its boundary respectively. Using a variational characterization, we present a constructive method to build the steering controls.
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ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2019.09.006