Email this article Boundary Control of String Vibrations in a Subcritical Time under a Medium Resistance at the Right End
- Authors: Moiseev E.I.1, Frolov A.A.1,2
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Affiliations:
- Lomonosov Moscow State University
- Dorodnitsyn Computing Center of Federal Research Center “Informatics and Control” of the Russian Academy of Sciences
- Issue: Vol 55, No 4 (2019)
- Pages: 541-552
- Section: Control Theory
- URL: https://journals.rcsi.science/0012-2661/article/view/155001
- DOI: https://doi.org/10.1134/S0012266119040128
- ID: 155001
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Abstract
We study the problem of boundary control of string vibrations on a subcritical time interval. The control is performed by displacements at one end of the string, while a homogeneous boundary condition with a noncharacteristic directional derivative is posed at the other end. The problem is studied in the classical sense. Necessary and sufficient conditions for the existence of a unique control are obtained, and the control itself is constructed in explicit analytical form.
About the authors
E. I. Moiseev
Lomonosov Moscow State University
Author for correspondence.
Email: cmc@cs.msu.su
Russian Federation, Moscow, 119991
A. A. Frolov
Lomonosov Moscow State University; Dorodnitsyn Computing Center of Federal Research Center “Informatics and Control” of the Russian Academy of Sciences
Author for correspondence.
Email: a.a.froloff@mail.ru
Russian Federation, Moscow, 119991; Moscow, 119333
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