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

DOI10.1134/S0012266109060093zbMath1172.49002MaRDI QIDQ731555

L. I. Bloshanskaya, I. N. Smirnov

Publication date: 8 October 2009

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

zbMATH Keywords

boundary value problem for the wave equationclosed-form analytic expressionsstring vibration problem

Mathematics Subject Classification ID

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

Related Items (4)

Solvability of mixed problems for the string oscillation equation in the space \(W_{p}^{1}\), with \(p \geq 1\) ⋮ On the regularized solutions of optimal control problem in a hyperbolic system ⋮ Optimal boundary control of string vibrations with a model nonlocal boundary condition of one of two types ⋮ Optimal boundary control by displacement at one end of a string under a given elastic force at the other end

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