Optimal Boundary Control of String Vibrations with Given Shape of Deflection at a Certain Moment of Time

V Barseghyan,S Solodusha

doi:10.1007/978-3-030-77876-7_20

Optimal Boundary Control of String Vibrations with Given Shape of Deflection at a Certain Moment of Time

V Barseghyan, S Solodusha

https://doi.org/10.1007/978-3-030-77876-7_20

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Publication Date: Jan 1, 2021

Citations: 10

Affiliation: National Academy of Sciences of Armenia, Yerevan State University, Melentiev Energy Systems Institute

#Boundary Control Of String Vibrations #Problem Of Optimal Boundary Control + Show 8 more

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Abstract

We consider the problem of optimal boundary control of string vibrations with given initial and final conditions and a given value of the string deflection function at some intermediate time moment and with a quality criterion given over the entire time interval. It is controlled by the displacement of one end while the other end is fixed. A constructive approach to constructing the optimal boundary control action is proposed. A computational experiment was carried out with the construction of the corresponding graphs and their comparative analysis, which confirm the results obtained.

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