Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind

DOI10.1134/S0012266110110091zbMath1210.49021MaRDI QIDQ2429702

A. A. Kholomeeva, E. I. Moiseev

Publication date: 1 April 2011

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

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Control of mechanical systems (70Q05) PDEs in connection with control and optimization (35Q93)

Related Items (11)

Boundary control by displacement at one end of a string and the integral condition on the other ⋮ Existence of solutions for nonlinear fractional \(q\)-difference integral equations with two fractional orders and nonlocal four-point boundary conditions ⋮ Problem of boundary control by an elastic force on one end with the other end fixed for the telegraph equation with a variable coefficient ⋮ Boundary control problem for a loaded string vibration equation ⋮ Solvability of mixed problems for the string oscillation equation in the space \(W_{p}^{1}\), with \(p \geq 1\) ⋮ Optimal boundary force control at one end of a string for a given displacement mode at the other end ⋮ Optimal boundary control of string vibrations with a model nonlocal boundary condition of one of two types ⋮ Optimal boundary control by a force at one end of a string with a given force mode at the other end ⋮ Optimal boundary displacement control of string vibrations with a nonlocal evenness condition of the second kind ⋮ The solution of initial-boundary value problems with non-local boundary conditions using exponential basis functions ⋮ Optimal boundary control by displacement at one end of a string under a given elastic force at the other end

Cites Work

• Optimal boundary control by a displacement in \(W'p\) of a string with free end

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