Null controllability holds for the beam equation with structural damping ρ for all ρ ≤ 2 and almost all ρ > 2.
Triggiani, ”Optimal estimates of norms of fast controls in exact null controllability of two non-classical abstract parabolic systems”
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Boundary null-controllability for the beam equation with classical structural damping
Null controllability holds for the beam equation with structural damping ρ for all ρ ≤ 2 and almost all ρ > 2.