Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation |
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Authors: | Bing Sun |
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Affiliation: | Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China |
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Abstract: | 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. |
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Keywords: | Kuramoto-Sivashinsky equation Optimal boundary control Maximum principle Necessary condition |
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