A remark on null exact controllability of the heat equation

被引：30
|
作者：
Zhang, X [1 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2001年 / 40卷 / 01期
关键词：
controllability; singular perturbation; heat equation; wave equation;
D O I：
10.1137/S0363012900371691
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
It is well known that the heat equation u(t)-Deltau=f chi (omega) in (0,T) x Omega with homogeneous Dirichlet boundary conditions is null exactly controllable for any T > 0 and any open nonempty subset of. In this note we show that this property may be obtained as a singular limit of the exact controllability properties of singularly perturbed damped wave equations with a changing controller.
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收藏
页码：39 / 53
页数：15
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