摘要
In this paper, the optimal boundary control for the Kuramoto-Sivashinsky equation is considered. The Dubovitskii and Milyutin functional analytical approach is adopted in investigation of Pontryagin's maximum principles of the system in both fixed and free final horizon cases. The necessary conditions are, respectively, presented for the optimal boundary control problems in these two cases.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 467-482 |
| 页数 | 16 |
| 期刊 | Journal of the Franklin Institute |
| 卷 | 347 |
| 期 | 2 |
| DOI | |
| 出版状态 | 已出版 - 3月 2010 |
指纹
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Sun, B. (2010). Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation. Journal of the Franklin Institute, 347(2), 467-482. https://doi.org/10.1016/j.jfranklin.2009.10.008