Optimization in the class \(W_2^2\) of the boundary control by displacements at one endpoint of a string with the other endpoint being fixed

DOI10.1134/S0012266109070039zbMath1175.49004MaRDI QIDQ1033659

E. I. Moiseev, A. A. Kholomeeva

Publication date: 6 November 2009

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

generalized solutionsstring vibrationsoptimal boundary control

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Vibrations in dynamical problems in solid mechanics (74H45) Control of mechanical systems (70Q05) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Optimization of the boundary control of string vibrations in the excitation problem with a fixed endpoint in the class \(W_{2}^{2}\)

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