Optimal boundary control by displacement at one end of a string under a given elastic force at the other end

DOI10.1134/S0081543812020125zbMath1295.93039MaRDI QIDQ742011

A. A. Kholomeeva, E. I. Moiseev

Publication date: 17 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

optimal controlboundary controlwave equationhyperbolic equations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Wave equation (35L05)

Related Items (2)

The problem of two-dimensional string vibrations with a nonlinear condition ⋮ Estimation of the time-dependent body force needed to exert on a membrane to reach a desired state at the final time

Cites Work

• Optimal boundary control by an elastic force at one end and a displacement at the other end for an arbitrary sufficiently large time interval in the string vibration problem
• Optimal boundary control by a displacement in \(W'p\) of a string with free end
• Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Optimization of boundary controls of string vibrations
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