Sergei Avdonin

activity

20222024

most citedExact controllability for wave equation on general quantum graphs with non-smooth controls

1 citations · 1 across the 3 of their papers we have counts for

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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…

math.OC2023★ 1 cited

Exact controllability for wave equation on general quantum graphs with non-smooth controls

Sergei A. Avdonin, Julian K. Edward

In this paper we study the exact controllability problem for the wave equation on a finite metric graph with the Kirchhoff-Neumann matching conditions. Among all vertices and edges…