Exact Boundary Controllability of the Linear Biharmonic Schrodinger Equation with Variable Coefficients

被引：1

作者：

Ammari, Kais ^{[1
]}

Bouzidi, Hedi ^{[1
]}

机构：

[1] Univ Monastir, Fac Sci Monastir, Dept Math, LR Anal & Control PDEs, LR22ES03, Monastir 5019, Tunisia

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2023年 / 29卷 / 03期

关键词：

Biharmonic Schrodinger; Boundary control; Fourier series; Riesz basis; WELL-POSEDNESS; STABILIZATION;

D O I：

10.1007/s10883-022-09609-x

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the exact boundary controllability of the linear fourth-order Schrodinger 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.

引用

页码：703 / 719

页数：17

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