Optimal boundary control of Saint-Venant equations with arbitrary friction and space-varying slope

Yang Yang Wang, Bing Sun*

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

1 引用 (Scopus)

摘要

This paper is concerned with the optimal boundary control for the one-dimensional Saint-Venant equations with arbitrary friction and space-varying slope. By the Dubovitskii and Milyutin functional analytical approach, the Pontryagin maximum principles of the optimal control systems equipped with two boundary control variables are investigated and the first-order necessary optimality conditions are presented in both the fixed and the free final horizon cases, respectively. Finally, a remark on numerical solution is made for illustrating how to apply the obtained results to the investigational optimal boundary control problem.

源语言英语
页(从-至)881-907
页数27
期刊IMA Journal of Mathematical Control and Information
38
3
DOI
出版状态已出版 - 1 9月 2021

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