EXACT CONTROLLABILITY FOR THE SCHRODINGER-EQUATION

被引：103
|
作者：
MACHTYNGIER, E
机构：
[1] Universidade Federal do Rio de, Janeiro, Rio de Janeiro
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1994年 / 32卷 / 01期
关键词：
SCHRODINGER EQUATION; BOUNDARY CONTROLLABILITY; INTERIOR CONTROLLABILITY;
D O I：
10.1137/S0363012991223145
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The exact controllability of Schrodinger equation in bounded domains,with Dirichlet boundary condition is studied. Both the boundary controllability and the internal controllability problems are considered. Concerning the boundary controllability, the paper proves the exact controllability in H-1(Omega) with L(2)-boundary control. On the other hand, the exact controllability in L(2)(Omega) is proved with L(2)-controls supported in a neighborhood of the boundary. Both results hold for an arbitrarily Small time. The method of proof combines both the HUM (Hilbert Uniqueness Method) and multiplier techniques.
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页码：24 / 34
页数：11
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