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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2010 Volume 268, Pages 124–136 (Mi tm2864)

This article is cited in 3 papers

Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition

V. A. Il'inab

a Moscow State University, Moscow, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: An explicit analytic expression is obtained for optimal boundary controls exercised on one end of a string by a displacement or by an elastic force under a model nonlocal boundary condition of one of four types.

UDC: 517.977

Received in March 2009


 English version:
Proceedings of the Steklov Institute of Mathematics, 2010, 268, 117–129

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