Exact bounded boundary controllability of vibrations of a two-dimensional membrane
- 作者: Romanov I.V.1,2, Shamaev A.S.3,4
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隶属关系:
- National Research University Higher School of Economics
- Trapeznikov Institute of Control Sciences
- Ishlinskii Institute for Problems in Mechanics
- Faculty of Mechanics and Mathematics
- 期: 卷 94, 编号 2 (2016)
- 页面: 607-610
- 栏目: Control Theory
- URL: https://journals.rcsi.science/1064-5624/article/view/224465
- DOI: https://doi.org/10.1134/S1064562416050057
- ID: 224465
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详细
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.
作者简介
I. Romanov
National Research University Higher School of Economics; Trapeznikov Institute of Control Sciences
编辑信件的主要联系方式.
Email: romm1@list.ru
俄罗斯联邦, Myasnitskaya ul. 20, Moscow, 101000; Profsoyuznaya ul. 65, Moscow, 117997
A. Shamaev
Ishlinskii Institute for Problems in Mechanics; Faculty of Mechanics and Mathematics
Email: romm1@list.ru
俄罗斯联邦, pr. Vernadskogo 101-1, Moscow, 119526; Moscow, 119991
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