 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 58, Issue 8 / 2023 | Next article >> |
| T.N. Bobyleva, I.A. Gusev, and A.S. Shamaev, "Limited and Smooth Controls of Oscillations in Systems Given by Differential and Integro-Differential Equations," Mech. Solids. 58 (8), 2818-2825 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
8 |
Pages |
2818-2825 |
| DOI |
10.3103/S0025654423080058 |
| Title |
Limited and Smooth Controls of Oscillations in Systems Given by Differential and Integro-Differential Equations |
| Author(s) |
T.N. Bobyleva (Moscow State University of Civil Engineering, Moscow, 129337 Russia, tatyana2211@outlook.com)
I.A. Gusev (Moscow State University, Moscow, 199991 Russia, gusevilya94@yandex.ru)
A.S. Shamaev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, sham@rambler.ru) |
| Abstract |
The paper considers the problem of damping vibrations of a membrane and a plate with the
help of forces distributed over their entire area. The proposed method allows us to consider restrictions
not only on the absolute value of the control, but also on the absolute value of the derivatives of the
functions that specify the control. Sufficient conditions are given for the initial conditions under which
the problem of bringing the system to rest in a finite time is solvable, and the time of bringing to rest is
estimated. |
| Keywords |
control, oscillatory system, distributed and concentrated forces, small control forces, integrodifferential systems |
| Received |
29 May 2023 | Revised |
02 August 2023 | Accepted |
10 August 2023 |
| Link to Fulltext |
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