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.
| Original language | English |
|---|---|
| Pages (from-to) | 881-907 |
| Number of pages | 27 |
| Journal | IMA Journal of Mathematical Control and Information |
| Volume | 38 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Sept 2021 |
Keywords
- Saint-Venant equations
- maximum principle
- necessary optimality condition
- optimal control