Optimal boundary displacement control at one end of a string with a medium exerting resistance at the other end

DOI10.1134/S0012266113100133zbMath1301.49013MaRDI QIDQ2251774

E. I. Moiseev, A. A. Kholomeeva

Publication date: 15 July 2014

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

zbMATH Keywords

optimal boundary controlinitial and boundary conditionselastic vibrating string

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Strings (74K05)

Related Items (5)

Boundary control of forced string vibrations by first directional derivatives on a short time interval ⋮ Optimal control of string vibrations with nonseparate state function conditions at given intermediate instants ⋮ Boundary Control of String Vibrations with Given Values of the Deflection Function at Intermediate Moments of Time ⋮ Boundary displacement control for the oscillation process with boundary conditions of damping type for a time less than critical ⋮ Boundary control of string vibrations in a subcritical time under a medium resistance at the right end

Cites Work

• On an optimal boundary control problem with a dynamic boundary condition
• Optimal boundary control by the displacement of one endpoint of the string with the other endpoint being free in an arbitrarily large time interval
• Pseudospectra for the wave equation with an absorbing boundary
• Solvability of the mixed problem for the wave equation with a dynamic boundary condition
• Boundary control of an anti-stable wave equation with anti-damping on the uncontrolled boundary
• Optimization of boundary controls of string vibrations
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation

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