Exact bounded boundary controllability of vibrations of a two-dimensional membrane

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作者
I. V. Romanov
A. S. Shamaev
机构
[1] National Research University Higher School of Economics,Trapeznikov Institute of Control Sciences
[2] Russian Academy of Sciences,Ishlinskii Institute for Problems in Mechanics
[3] Russian Academy of Sciences,Faculty of Mechanics and Mathematics
[4] Moscow State University,undefined
来源
Doklady Mathematics | 2016年 / 94卷
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摘要
The boundary control of vibrations of a plane membrane is considered. A constraint is imposed on the absolute value of the control function. The goal of the control is to drive the membrane to rest. The proof technique used in this paper can be applied to a membrane of any dimension, but the two-dimensional case is considered for simplicity and illustrative purposes.
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页码:607 / 610
页数:3
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