OPTIMAL CONTROL OF TRANSVERSE VIBRATION OF A MOVING STRING WITH TIME-VARYING LENGTHS

Bing Sun

doi:10.3934/mcrf.2021042

OPTIMAL CONTROL OF TRANSVERSE VIBRATION OF A MOVING STRING WITH TIME-VARYING LENGTHS

Bing Sun^*

^*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

1 引用（Scopus）

摘要

In this article, we are concerned with optimal control for the transverse vibration of a moving string with time-varying lengths. In the fixed final time horizon case, the Pontryagin maximum principle is established for the investigational system with a moving boundary, owing to the Dubovitskii and Milyutin functional analytical approach. A remark then follows for discussing the utilization of obtained necessary optimality condition.

源语言	英语
页（从-至）	733-746
页数	14
期刊	Mathematical Control and Related Fields
卷	12
期	3
DOI	https://doi.org/10.3934/mcrf.2021042
出版状态	已出版 - 9月 2022

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Sun, B. (2022). OPTIMAL CONTROL OF TRANSVERSE VIBRATION OF A MOVING STRING WITH TIME-VARYING LENGTHS. Mathematical Control and Related Fields, 12(3), 733-746. https://doi.org/10.3934/mcrf.2021042

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abstract = "In this article, we are concerned with optimal control for the transverse vibration of a moving string with time-varying lengths. In the fixed final time horizon case, the Pontryagin maximum principle is established for the investigational system with a moving boundary, owing to the Dubovitskii and Milyutin functional analytical approach. A remark then follows for discussing the utilization of obtained necessary optimality condition.",

keywords = "Optimal control, maximum principle, moving boundary, necessary optimality condition, time-varying length, transverse vibration",

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AB - In this article, we are concerned with optimal control for the transverse vibration of a moving string with time-varying lengths. In the fixed final time horizon case, the Pontryagin maximum principle is established for the investigational system with a moving boundary, owing to the Dubovitskii and Milyutin functional analytical approach. A remark then follows for discussing the utilization of obtained necessary optimality condition.

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KW - moving boundary

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OPTIMAL CONTROL OF TRANSVERSE VIBRATION OF A MOVING STRING WITH TIME-VARYING LENGTHS

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