The Bang-Bang principle of time optimal controls for the heat equation with internal controls
The Bang-Bang principle of time optimal controls for the heat equation with internal controls
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DOI：
10.1016/j.sysconle.2007.06.001
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发表时间：
2007-11-01
影响因子：
2.6
通讯作者：
Wang, Lijuan
中科院分区：
文献类型：
--
作者：
Wang, Gengsheng;Wang, Lijuan
本文研究了以以0为中心的闭合球为目标集，由内控热方程控制的一类时间最优控制问题。我们利用庞特里亚金最大值原理和热方程解的一种特殊的唯一连续性，导出了问题时间最优控制的bang-bang性质。(C)2007 Elsevier B.V.保留所有权利。
In this paper, we study a certain time optimal control problem governed by the internal controlled heat equation and with a closed ball centered at 0 as the target set. We derive, by making use of Pontryagin's maximum principle and a special kind of unique continuation property for solutions of the heat equation, the bang-bang property for time optimal controls of the problem. (c) 2007 Elsevier B.V. All rights reserved.