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

DOI10.1134/S0012266109050140zbMath1172.49004OpenAlexW2049193207MaRDI QIDQ731540

A. A. Kholomeeva, E. I. Moiseev

Publication date: 8 October 2009

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

Full work available at URL: https://doi.org/10.1134/s0012266109050140

zbMATH Keywords

generalized solutions of the wave equationoptimal boundary control of string vibrations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

Observability inequalities in Sobolev spaces for the wave equation with variable coefficients ⋮ On boundary control problems for the Klein-Gordon-Fock equation with an integrable coefficient ⋮ 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

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