Optimal boundary control of Saint-Venant equations with arbitrary friction and space-varying slope-Reference-Cited by-同舟云学术

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

Published:2021-06-03 Issue:3 Volume:38 Page:881-907
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Wang Yang-Yang¹,Sun Bing¹²

Affiliation:

1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China

2. Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 100081, P.R. China

Abstract

Abstract 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.

Funder

National Natural Science Foundation of China

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://academic.oup.com/imamci/article-pdf/38/3/881/40076684/dnab016.pdf

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