The Bang-Bang principle of time optimal controls for the heat equation with internal controls

被引：31
|
作者：
Wang, Gengsheng [1 ]
Wang, Lijuan [1 ]
机构：
[1] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 11-12期
基金：
中国国家自然科学基金;
关键词：
time optimal control; heat equation; unique continuation; Bang-Bang property;
D O I：
10.1016/j.sysconle.2007.06.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
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页码：709 / 713
页数：5
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