Optimal distributed control problem for the modified Swift-Hohenberg equations

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.

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