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IssuesArchive of Issues2019-8pp.1216-1226

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V.R. Barseghyan, "Control Problem of String Vibrations with Inseparable Multipoint Conditions at Intermediate Points in Time," Mech. Solids. 54 (8), 1216-1226 (2019)
Year 2019 Volume 54 Number 8 Pages 1216-1226
DOI 10.3103/S0025654419080120
Title Control Problem of String Vibrations with Inseparable Multipoint Conditions at Intermediate Points in Time
Author(s) V.R. Barseghyan (Yerevan State University, Alex Manoogian 1, Yerevan, 375025 Republic of Armenia; Institute of Mechanics, National Academy of Sciences of Republic of Armenia, Marshal Baghramian ave. 24b, Erevan, 0019 Republic of Armenia, barseghyan@sci.am)
Abstract The problem of controlling the vibrations of a string with given inseparable values of the deflection function and velocities at intermediate times is considered. By the method of separation of variables, the problem reduces to the problem of controlling ordinary differential equations with given initial, final, and unseparated multipoint intermediate conditions. The problem is solved using methods of the theory of control of finite-dimensional systems with multipoint intermediate conditions. As an application of the proposed approach, a control action is constructed for the control problem of string vibrations with specified unseparated conditions on the values of the deflection function and string velocities at two intermediate points in time.
Keywords vibration control, string vibration, intermediate values, inseparable multipoint conditions, control
Received 19 February 2019
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