 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| V.R. Barseghyan, "The Problem of Optimal Control of Membrane Oscillations with Non-Separated Multipoint Conditions at Intermediate Times," Mech. Solids. 57 (3), 515-523 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
3 |
Pages |
515-523 |
| DOI |
10.3103/S0025654422030050 |
| Title |
The Problem of Optimal Control of Membrane Oscillations with Non-Separated Multipoint Conditions at Intermediate Times |
| Author(s) |
V.R. Barseghyan (Institute of Mechanics of National Academy of Sciences of Armenia, Yerevan, 0019 Armenia; Yerevan State University, Yerevan, 0025 Armenia, barseghyan@sci.am) |
| Abstract |
The problem of optimal control of oscillations of a rectangular membrane with given initial and final conditions and non-separated multipoint conditions at intermediate times and with a quality criterion given over the entire time interval is considered. Using the method of separation of variables, the problem is reduced to the problem of optimal control of ordinary differential equations with given initial, final, and unseparated multipoint intermediate conditions. A necessary and sufficient condition for complete controllability is formulated. Using the methods of the theory of optimal control of finite-dimensional systems with non-separated multipoint intermediate conditions, an optimal control action is constructed. |
| Keywords |
membrane oscillations, optimal vibration control, intermediate values, non-separated multipoint conditions |
| Received |
07 July 2020 | Revised |
20 May 2021 | Accepted |
24 May 2021 |
| Link to Fulltext |
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