Boundary Controllability for Finite-Differences Semidiscretizations of a Clamped Beam Equation

DOI10.1137/16M1076976zbMath1361.93009OpenAlexW2386547196MaRDI QIDQ5347541

Nicolae Cîndea, Ionel Rovenţa, Sorin Micu

Publication date: 24 May 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1076976

zbMATH Keywords

filtrationboundary controllabilitycontrol approximationclamped beam equationfinite-difference semidiscretization

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Controllability (93B05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (8)

New versions of uniformly convex functions via quadratic complete homogeneous symmetric polynomials ⋮ An application of moment method to uniform boundary controllability property of a semidiscrete 1-d wave equation with a lower rate vanishing viscosity ⋮ A novel sensor design for a cantilevered Mead-Marcus-type sandwich beam model by the order-reduction technique ⋮ Uniformly exponentially stable approximations for Timoshenko beams ⋮ Uniformly semidiscretized approximation for exact observability and controllability of one-dimensional Euler-Bernoulli beam ⋮ A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam ⋮ Optimal approximation of internal controls for a wave-type problem with fractional Laplacian using finite-difference method ⋮ Singular asymptotic expansion of the exact control for the perturbed wave equation

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