Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval
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Publication:843648
DOI10.1134/S0012266107110122zbMath1180.74042OpenAlexW1968036642MaRDI QIDQ843648
Publication date: 15 January 2010
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266107110122
Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05)
Related Items (5)
An analytic form of optimal boundary controls of longitudinal oscillations of a rod consisting of two fragments with different densities and elasticities but equal impedances ⋮ Solvability of mixed problems for the string oscillation equation in the space \(W_{p}^{1}\), with \(p \geq 1\) ⋮ Classical solution of a problem with an integral condition for the one-dimensional wave equation ⋮ Estimation of the time-dependent body force needed to exert on a membrane to reach a desired state at the final time ⋮ Mixed problems describing longitudinal oscillations of a rod consisting of two segments with different densities and different elasticities but equal impedances
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