 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| V.R. Barseghyan, "The Control Problem for Stepwise Changing Linear Systems of Loaded Differential Equations with Unseparated Multipoint Intermediate Conditions," Mech. Solids. 53 (6), 615-622 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
6 |
Pages |
615-622 |
| DOI |
10.3103/S0025654418060031 |
| Title |
The Control Problem for Stepwise Changing Linear Systems of Loaded Differential Equations with Unseparated Multipoint Intermediate Conditions |
| Author(s) |
V.R. Barseghyan (Yerevan State University, Alex Manoogian str. 1, Yerevan, 0025 Armenia; Institute of Mechanics of NAS RA, Marshal Baghramian ave. 24 B, Yerevan, 0019 Armenia, barseghyan@sci.am) |
| Abstract |
The control problem for stepwise changing linear systems of loaded differential equations with given initial, final, and nonseparated (non-local) multipoint intermediate conditions and optimal control with a quality criterion specified for the entire time interval is considered. The necessary and sufficient condition for the complete controllability, the conditions for the existence of programmed control and motion, are formulated. An explicit form of control action is constructed for the control problem, and a method for solving the optimal control problem is proposed. |
| Keywords |
stepwise changing systems, loaded differential equations, unseparated multipoint conditions, control, complete controllability |
| References |
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| 16. | E.A. Bakirova and Zh.M. Kadirbayeva,
"On a Solvability of Linear Multipoint Boundary Value Problem for the Loaded Differential Equations,"
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No. 5, 168-175 (2016). |
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(Nauka, Moscow, 1968) [in Russian]. |
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|
| Received |
12 April 2017 |
| Link to Fulltext |
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