Exact bounded boundary controllability of vibrations of a two-dimensional membrane
- Autores: Romanov I.V.1,2, Shamaev A.S.3,4
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Afiliações:
- National Research University Higher School of Economics
- Trapeznikov Institute of Control Sciences
- Ishlinskii Institute for Problems in Mechanics
- Faculty of Mechanics and Mathematics
- Edição: Volume 94, Nº 2 (2016)
- Páginas: 607-610
- Seção: 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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Resumo
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.
Sobre autores
I. Romanov
National Research University Higher School of Economics; Trapeznikov Institute of Control Sciences
Autor responsável pela correspondência
Email: romm1@list.ru
Rússia, 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
Rússia, pr. Vernadskogo 101-1, Moscow, 119526; Moscow, 119991
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