Abstract

In this paper, we study the exact boundary controllability of the linear fourth-order Schrödinger equation, with variable physical parameters and clamped boundary conditions on a bounded interval. The control acts on the first spatial derivative at the right endpoint. We prove that this control system is exactly controllable at any time \(T>0\). The proofs are based on a detailed spectral analysis and the use of nonharmonic Fourier series.

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