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

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Mathematical Optimization Theory and Operations Research (MOTOR 2021)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12755))

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.

The research of S. Solodusha was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation (Project FWEU-2021-0006, theme No. AAAA-A21-121012090034-3).

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Author information

Authors and Affiliations

  1. Institute of Mechanics NAS RA, Yerevan, Armenia

    V. Barseghyan

  2. Yerevan State University, Yerevan, Armenia

    V. Barseghyan

  3. Melentiev Energy Systems Institute SB RAS, Irkutsk, Russia

    S. Solodusha

Authors
  1. V. Barseghyan
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  2. S. Solodusha
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Corresponding authors

Correspondence to V. Barseghyan or S. Solodusha .

Editor information

Editors and Affiliations

  1. University of Florida, Gainesville, FL, USA

    Panos Pardalos

  2. Krasovsky Institute of Mathematics and Mechanics, Ekaterinburg, Russia

    Michael Khachay

  3. Matrosov Institute for System Dynamics and Control Theory, Irkutsk, Russia

    Alexander Kazakov

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Barseghyan, V., Solodusha, S. (2021). Optimal Boundary Control of String Vibrations with Given Shape of Deflection at a Certain Moment of Time. In: Pardalos, P., Khachay, M., Kazakov, A. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2021. Lecture Notes in Computer Science(), vol 12755. Springer, Cham. https://doi.org/10.1007/978-3-030-77876-7_20

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

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-77875-0

  • Online ISBN: 978-3-030-77876-7

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