On a kind of time optimal control problem of the heat equation

Abstract In this paper, we consider a kind of time-varying bang–bang property of time optimal boundary controls for the heat equation. The time-varying bang–bang property in the interior domain has been considered in some papers, but regarding the time optimal boundary control problem it is still un...

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Main Author:	Yifan Zhang
Format:	Article
Language:	English
Published:	SpringerOpen 2018-04-01
Series:	Advances in Difference Equations
Subjects:	Heat equation Time-varying Bang–bang property Time optimal control problem
Online Access:	http://link.springer.com/article/10.1186/s13662-018-1577-z

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spelling	doaj-bbd88c133239421d894972625c7ae81d2020-11-24T21:59:14ZengSpringerOpenAdvances in Difference Equations1687-18472018-04-012018111010.1186/s13662-018-1577-zOn a kind of time optimal control problem of the heat equationYifan Zhang0School of Mathematics and Statistics, Central South UniversityAbstract In this paper, we consider a kind of time-varying bang–bang property of time optimal boundary controls for the heat equation. The time-varying bang–bang property in the interior domain has been considered in some papers, but regarding the time optimal boundary control problem it is still unsolved. In this paper, we determine that there exists at least one solution to the time optimal boundary control problem with time-varying controls.http://link.springer.com/article/10.1186/s13662-018-1577-zHeat equationTime-varyingBang–bang propertyTime optimal control problem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yifan Zhang
spellingShingle	Yifan Zhang On a kind of time optimal control problem of the heat equation Advances in Difference Equations Heat equation Time-varying Bang–bang property Time optimal control problem
author_facet	Yifan Zhang
author_sort	Yifan Zhang
title	On a kind of time optimal control problem of the heat equation
title_short	On a kind of time optimal control problem of the heat equation
title_full	On a kind of time optimal control problem of the heat equation
title_fullStr	On a kind of time optimal control problem of the heat equation
title_full_unstemmed	On a kind of time optimal control problem of the heat equation
title_sort	on a kind of time optimal control problem of the heat equation
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2018-04-01
description	Abstract In this paper, we consider a kind of time-varying bang–bang property of time optimal boundary controls for the heat equation. The time-varying bang–bang property in the interior domain has been considered in some papers, but regarding the time optimal boundary control problem it is still unsolved. In this paper, we determine that there exists at least one solution to the time optimal boundary control problem with time-varying controls.
topic	Heat equation Time-varying Bang–bang property Time optimal control problem
url	http://link.springer.com/article/10.1186/s13662-018-1577-z
work_keys_str_mv	AT yifanzhang onakindoftimeoptimalcontrolproblemoftheheatequation
_version_	1725848099659710464

On a kind of time optimal control problem of the heat equation

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