@article{cb850d58f3aa4676ac195caed0f8fe74,
title = "OPTIMAL CONTROL OF TRANSVERSE VIBRATION OF A MOVING STRING WITH TIME-VARYING LENGTHS",
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",
author = "Bing Sun",
note = "Publisher Copyright: {\textcopyright} 2022, American Institute of Mathematical Sciences. All rights reserved.",
year = "2022",
month = sep,
doi = "10.3934/mcrf.2021042",
language = "English",
volume = "12",
pages = "733--746",
journal = "Mathematical Control and Related Fields",
issn = "2156-8472",
publisher = "American Institute of Mathematical Sciences",
number = "3",
}