Exact controllability of the interconnected Schrödinger and wave equations with a boundary control at the wave equation

Fei Wang; Jun Min Wang; Xiao Hui Wu

doi:10.1016/j.jmaa.2022.126831

Exact controllability of the interconnected Schrödinger and wave equations with a boundary control at the wave equation

Fei Wang^*, Jun Min Wang, Xiao Hui Wu

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

In this paper, we are concerned with the exact controllability of a Schrödinger equation through boundary coupling a wave equation, in which a control is designed at the wave equation. By spectral analysis, we present the asymptotic expansion for the eigenvalues and the eigenfunctions of the corresponding dual system and obtain the observability inequality. Following the duality principle, we yield the exact controllability of the coupled system.

源语言	英语
文章编号	126831
期刊	Journal of Mathematical Analysis and Applications
卷	519
期	2
DOI	https://doi.org/10.1016/j.jmaa.2022.126831
出版状态	已出版 - 15 3月 2023

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title = "Exact controllability of the interconnected Schr{\"o}dinger and wave equations with a boundary control at the wave equation",

abstract = "In this paper, we are concerned with the exact controllability of a Schr{\"o}dinger equation through boundary coupling a wave equation, in which a control is designed at the wave equation. By spectral analysis, we present the asymptotic expansion for the eigenvalues and the eigenfunctions of the corresponding dual system and obtain the observability inequality. Following the duality principle, we yield the exact controllability of the coupled system.",

keywords = "Boundary control, Exact controllability, Schr{\"o}dinger equation, Wave equation",

author = "Fei Wang and Wang, {Jun Min} and Wu, {Xiao Hui}",

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AU - Wang, Fei

AU - Wang, Jun Min

AU - Wu, Xiao Hui

PY - 2023/3/15

Y1 - 2023/3/15

N2 - In this paper, we are concerned with the exact controllability of a Schrödinger equation through boundary coupling a wave equation, in which a control is designed at the wave equation. By spectral analysis, we present the asymptotic expansion for the eigenvalues and the eigenfunctions of the corresponding dual system and obtain the observability inequality. Following the duality principle, we yield the exact controllability of the coupled system.

AB - In this paper, we are concerned with the exact controllability of a Schrödinger equation through boundary coupling a wave equation, in which a control is designed at the wave equation. By spectral analysis, we present the asymptotic expansion for the eigenvalues and the eigenfunctions of the corresponding dual system and obtain the observability inequality. Following the duality principle, we yield the exact controllability of the coupled system.

KW - Boundary control

KW - Exact controllability

KW - Schrödinger equation

KW - Wave equation

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U2 - 10.1016/j.jmaa.2022.126831

DO - 10.1016/j.jmaa.2022.126831

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VL - 519

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

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ER -

Exact controllability of the interconnected Schrödinger and wave equations with a boundary control at the wave equation

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