Optimal distributed control problem for the modified Swift-Hohenberg equations
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Date
2018-06-27
Authors
Sun, Bing
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the optimal distributed control for the modified Swift-Hohenberg equation. Using the Dubovitskii and Milyutin functional analytical approach, we prove the Pontryagin maximum principle of the controlled modified Swift-Hohenberg equation. A necessary optimality condition is established for the problem in fixed final time horizon case. Also we indicate how to utilize the obtained results.
Description
Keywords
Maximum principle, Optimal distributed control, Necessary optimality condition, Swift-Hohenberg equation
Citation
Sun, B. (2018). Optimal distributed control problem for the modified Swift-Hohenberg equations. Electronic Journal of Differential Equations, 2018(131), pp. 1-13.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.