Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions

The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solut...

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Autor principal:	Ionuţ Munteanu
Formato:	article
Lenguaje:	EN
Publicado:	Vilnius University Press 2021
Materias:	exponential stabilization parabolic equations nonlocal initial conditions feedback control contraction mapping theorem Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/83c845c1ae5a41b0b791d5f4dfd37d3f
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spelling	oai:doaj.org-article:83c845c1ae5a41b0b791d5f4dfd37d3f2021-12-02T17:26:40ZFeedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions10.15388/namc.2021.26.248091392-51132335-8963https://doaj.org/article/83c845c1ae5a41b0b791d5f4dfd37d3f2021-11-01T00:00:00Zhttps://www.journals.vu.lt/nonlinear-analysis/article/view/24809https://doaj.org/toc/1392-5113https://doaj.org/toc/2335-8963 The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solution of the closed-loop equation in a mild formulation via a kernel, then to apply a fixed point argument in a convenient space. Ionuţ MunteanuVilnius University Pressarticleexponential stabilizationparabolic equationsnonlocal initial conditionsfeedback controlcontraction mapping theoremAnalysisQA299.6-433ENNonlinear Analysis, Vol 26, Iss 6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	exponential stabilization parabolic equations nonlocal initial conditions feedback control contraction mapping theorem Analysis QA299.6-433
spellingShingle	exponential stabilization parabolic equations nonlocal initial conditions feedback control contraction mapping theorem Analysis QA299.6-433 Ionuţ Munteanu Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
description	The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solution of the closed-loop equation in a mild formulation via a kernel, then to apply a fixed point argument in a convenient space.
format	article
author	Ionuţ Munteanu
author_facet	Ionuţ Munteanu
author_sort	Ionuţ Munteanu
title	Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
title_short	Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
title_full	Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
title_fullStr	Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
title_full_unstemmed	Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
title_sort	feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
publisher	Vilnius University Press
publishDate	2021
url	https://doaj.org/article/83c845c1ae5a41b0b791d5f4dfd37d3f
work_keys_str_mv	AT ionutmunteanu feedbackexponentialstabilizationofthesemilinearheatequationwithnonlocalinitialconditions
_version_	1718380798879465472

Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions

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