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Boundary Control of String Vibrations in a Subcritical Time under a Medium Resistance at the Right End

  • Control Theory
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Abstract

We study the problem of boundary control of string vibrations on a subcritical time interval. The control is performed by displacements at one end of the string, while a homogeneous boundary condition with a noncharacteristic directional derivative is posed at the other end. The problem is studied in the classical sense. Necessary and sufficient conditions for the existence of a unique control are obtained, and the control itself is constructed in explicit analytical form.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    E. I. Moiseev & A. A. Frolov

  2. Dorodnitsyn Computing Center of Federal Research Center “Informatics and Control” of the Russian Academy of Sciences, Moscow, 119333, Russia

    A. A. Frolov

Authors
  1. E. I. Moiseev
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  2. A. A. Frolov
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Correspondence to E. I. Moiseev or A. A. Frolov.

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Moiseev, E.I., Frolov, A.A. Boundary Control of String Vibrations in a Subcritical Time under a Medium Resistance at the Right End. Diff Equat 55, 541–552 (2019). https://doi.org/10.1134/S0012266119040128

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  • DOI: https://doi.org/10.1134/S0012266119040128

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