Email this article On a Boundary Controllability Problem for a System Governed by the Two-Dimensional Wave Equation
- Authors: Romanov I.V.1, Shamaev A.S.2,3
-
Affiliations:
- National Research University Higher School of Economics
- Institute for Problems in Mechanics, Russian Academy of Sciences
- Moscow State University
- Issue: Vol 58, No 1 (2019)
- Pages: 105-112
- Section: Control of Systems with Distributed Parameters
- URL: https://journals.rcsi.science/1064-2307/article/view/220298
- DOI: https://doi.org/10.1134/S1064230719010131
- ID: 220298
Cite item
Open Access
Access granted
Subscription Access
Abstract
The boundary controllability of oscillations of a plane membrane is studied. The magnitude of the control is bounded. The controllability problem of driving the membrane to rest is considered. The method of proof proposed in this paper can be applied to any dimension but only the two-dimensional case is considered for simplicity.
About the authors
I. V. Romanov
National Research University Higher School of Economics
Author for correspondence.
Email: romm1@list.ru
Russian Federation, Moscow, 109028
A. S. Shamaev
Institute for Problems in Mechanics, Russian Academy of Sciences; Moscow State University
Author for correspondence.
Email: sham@rambler.ru
Russian Federation, Moscow; Moscow
