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


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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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E. Moiseev

Lomonosov Moscow State University

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Email: cmc@cs.msu.su
俄罗斯联邦, Moscow, 119991

A. Frolov

Lomonosov Moscow State University; Dorodnitsyn Computing Center of Federal Research Center “Informatics and Control” of the Russian Academy of Sciences

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Email: a.a.froloff@mail.ru
俄罗斯联邦, Moscow, 119991; Moscow, 119333

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