Julian Edward

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20242026

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math.OC2026

Boundary null controllability of weakly coupled structurally damped beams

Julian Edward, Yacouba Simpore

We prove boundary null controllability in any positive time for a finite system of Euler--Bernoulli beams with possibly non-diagonalizable coupling. For $0 < ρ < 2$ , a Fourier--Jordan…

math.OC2026

Boundary null-controllability for the beam equation with classical structural damping

Sergei Avdonin, Julian Edward

Let $Δ$ be the Dirichlet Laplacian on the interval $(0, π)$ , and let $T > 0$ . We prove a well-posedness results for the structurally damped beam equation $$u_{tt}+Δ^2 u-ρΔu_t=0, x\in…

math.OC2024

Null-controllability for the beam equation with structural damping. Part 1. Distributed control

Sergei Avdonin, Julian Edward, Sergei Ivanov

Let $Δ$ be the Dirichlet Laplacian on the interval $(0, π)$ . The null controllability properties of the equation $u_{tt} + Δ^{2} u + ρ (Δ)^{α} u_{t} = F (x, t)$ are studied. Let $T > 0$ , and assume…