Optimal boundary control by the displacement of one endpoint of the string with the other endpoint being free in an arbitrarily large time interval

DOI10.1134/S0012266107100084zbMath1144.49023MaRDI QIDQ946103

E. I. Moiseev, Vladimir Il'in

Publication date: 22 September 2008

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

zbMATH Keywords

wave equationoptimal boundary control probelmvibration of strings

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Wave equation (35L05) Strings (74K05)

Related Items (6)

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 ⋮ On an optimal boundary control problem with a dynamic boundary condition ⋮ Classical solution of a problem with an integral condition for the one-dimensional wave equation ⋮ Optimal boundary displacement control at one end of a string with a medium exerting resistance at the other end ⋮ Optimization of the boundary control of string vibrations at one string end with a given mode at the other end ⋮ 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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