Exact controllability of a micro beam with boundary bending moment

Yu Long Zhang; Jun Min Wang

doi:10.1080/00207179.2017.1393103

Exact controllability of a micro beam with boundary bending moment

Yu Long Zhang
, Jun Min Wang^*

^*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

8 引用（Scopus）

摘要

In this paper, we show the exact controllability of a micro beam with boundary bending moment at time T > 0, which gives a confirmative answer to the open problem proposed by P. Guzmán and J. Zhu. The semi-group approach is adopted in investigation. The asymptotic spectral expression of the micro beam system is presented to verify an observability inequality for the dual system. By the duality principle, the exact controllability of the system is then established.

源语言	英语
页（从-至）	1335-1343
页数	9
期刊	International Journal of Control
卷	92
期	6
DOI	https://doi.org/10.1080/00207179.2017.1393103
出版状态	已出版 - 3 6月 2019

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abstract = "In this paper, we show the exact controllability of a micro beam with boundary bending moment at time T > 0, which gives a confirmative answer to the open problem proposed by P. Guzm{\'a}n and J. Zhu. The semi-group approach is adopted in investigation. The asymptotic spectral expression of the micro beam system is presented to verify an observability inequality for the dual system. By the duality principle, the exact controllability of the system is then established.",

keywords = "Micro beam, boundary control, exact controllability, spectral analysis",

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AU - Wang, Jun Min

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AB - In this paper, we show the exact controllability of a micro beam with boundary bending moment at time T > 0, which gives a confirmative answer to the open problem proposed by P. Guzmán and J. Zhu. The semi-group approach is adopted in investigation. The asymptotic spectral expression of the micro beam system is presented to verify an observability inequality for the dual system. By the duality principle, the exact controllability of the system is then established.

KW - Micro beam

KW - boundary control

KW - exact controllability

KW - spectral analysis

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Exact controllability of a micro beam with boundary bending moment

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