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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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. 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.

Original language	English
Pages (from-to)	1335-1343
Number of pages	9
Journal	International Journal of Control
Volume	92
Issue number	6
DOIs	https://doi.org/10.1080/00207179.2017.1393103
Publication status	Published - 3 Jun 2019

Keywords

Micro beam
boundary control
exact controllability
spectral analysis

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10.1080/00207179.2017.1393103

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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.

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KW - exact controllability

KW - spectral analysis

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Exact controllability of a micro beam with boundary bending moment

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Keywords

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