 | | 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: | | 13205 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8140
|
| In English (Mech. Solids): | | 5065 |
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| T.N. Bobyleva and A.S. Shamaev, "Problems of Modern Control Theory and Optimization of Dynamics of Systems with Distributed Parameters in Mechanics and Physics," Mech. Solids. 60 (2), 932-939 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
932-939 |
| DOI |
10.1134/S0025654424606098 |
| Title |
Problems of Modern Control Theory and Optimization of Dynamics of Systems with Distributed Parameters in Mechanics and Physics |
| Author(s) |
T.N. Bobyleva (Moscow State University of Civil Engineering (National Research University), Moscow, 129337 Russia, bobyleva-tn@yandex.ru)
A.S. Shamaev (Ishlinsky Institute for Problems in Mechanics RAS, 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, integro-differential systems |
| Received |
30 October 2024 | Revised |
10 November 2024 | Accepted |
11 November 2024 |
| Link to Fulltext |
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