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On a Boundary Controllability Problem for a System Governed by the Two-Dimensional Wave Equation

  • CONTROL OF SYSTEMS WITH DISTRIBUTED PARAMETERS
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Abstract

The boundary controllability of oscillations of a plane membrane is studied. The magnitude of the control is bounded. The controllability problem of driving the membrane to rest is considered. The method of proof proposed in this paper can be applied to any dimension but only the two-dimensional case is considered for simplicity.

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REFERENCES

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ACKNOWLEDGMENTS

This work was supported by the Russian Science Foundation, project no. 16-11-10343.

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Authors and Affiliations

  1. National Research University Higher School of Economics, 109028, Moscow, Russia

    I. V. Romanov

  2. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    A. S. Shamaev

  3. Moscow State University, Moscow, Russia

    A. S. Shamaev

Authors
  1. I. V. Romanov
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  2. A. S. Shamaev
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Corresponding authors

Correspondence to I. V. Romanov or A. S. Shamaev.

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Translated by A. Klimontovich

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Romanov, I.V., Shamaev, A.S. On a Boundary Controllability Problem for a System Governed by the Two-Dimensional Wave Equation. J. Comput. Syst. Sci. Int. 58, 105–112 (2019). https://doi.org/10.1134/S1064230719010131

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  • DOI: https://doi.org/10.1134/S1064230719010131

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