Email this article Exact bounded boundary controllability of vibrations of a two-dimensional membrane
- Authors: Romanov I.V.1,2, Shamaev A.S.3,4
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Affiliations:
- National Research University Higher School of Economics
- Trapeznikov Institute of Control Sciences
- Ishlinskii Institute for Problems in Mechanics
- Faculty of Mechanics and Mathematics
- Issue: Vol 94, No 2 (2016)
- Pages: 607-610
- Section: Control Theory
- URL: https://journal-vniispk.ru/1064-5624/article/view/224465
- DOI: https://doi.org/10.1134/S1064562416050057
- ID: 224465
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Abstract
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.
About the authors
I. V. Romanov
National Research University Higher School of Economics; Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: romm1@list.ru
Russian Federation, Myasnitskaya ul. 20, Moscow, 101000; Profsoyuznaya ul. 65, Moscow, 117997
A. S. Shamaev
Ishlinskii Institute for Problems in Mechanics; Faculty of Mechanics and Mathematics
Email: romm1@list.ru
Russian Federation, pr. Vernadskogo 101-1, Moscow, 119526; Moscow, 119991
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