Exact boundary controllability of the linear Biharmonic Schr\"odinger equation with variable coefficients
Analysis of PDEs
2022-01-03 v1 Optimization and Control
Abstract
In this paper, we study the exact boundary controllability of the linear fourth-order Schr\"odinger equation, with variable physical parameters and clamped boundary conditions on a bounded interval. The control acts on the first spatial derivative at the left endpoint. We prove that this control system is exactly controllable at any time . The proofs are based on a detailed spectral analysis and on the use of nonharmonic Fourier series.
Keywords
Cite
@article{arxiv.2112.15196,
title = {Exact boundary controllability of the linear Biharmonic Schr\"odinger equation with variable coefficients},
author = {Kaïs Ammari and Hedi Bouzidi},
journal= {arXiv preprint arXiv:2112.15196},
year = {2022}
}