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Differential Equations

, Volume 55, Issue 4, pp 541–552 | Cite as

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

  • E. I. MoiseevEmail author
  • A. A. FrolovEmail author
Control Theory

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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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.Dorodnitsyn Computing Center of Federal Research Center “Informatics and Control” of the Russian Academy of SciencesMoscowRussia

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