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

  • I. V. RomanovEmail author
  • A. S. ShamaevEmail author
CONTROL OF SYSTEMS WITH DISTRIBUTED PARAMETERS

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.

Notes

ACKNOWLEDGMENTS

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

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.National Research University Higher School of EconomicsMoscowRussia
  2. 2.Institute for Problems in Mechanics, Russian Academy of SciencesMoscowRussia
  3. 3.Moscow State UniversityMoscowRussia

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