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Optimal control of transverse vibration of a moving string with time-varying lengths

  • * Corresponding author: Bing Sun

    * Corresponding author: Bing Sun

The author is supported by the National Natural Science Foundation of China grant 11471036.
This article was recruited by Sergey Dashkovskiy

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  • 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.

    Mathematics Subject Classification: Primary: 49B22, 49K20, 74K05; Secondary: 93C20.


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