Optimal distributed control problem for the modified Swift-Hohenberg equations

Bing Sun

Optimal distributed control problem for the modified Swift-Hohenberg equations

Bing Sun^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

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.

源语言	英语
文章编号	131
期刊	Electronic Journal of Differential Equations
卷	2018
出版状态	已出版 - 27 6月 2018

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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.",

keywords = "Maximum principle, Necessary optimality condition, Optimal distributed control, Swift-Hohenberg equation",

author = "Bing Sun",

note = "Publisher Copyright: {\textcopyright} 2018 Texas State University.",

year = "2018",

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N2 - 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.

AB - 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.

KW - Maximum principle

KW - Necessary optimality condition

KW - Optimal distributed control

KW - Swift-Hohenberg equation

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VL - 2018

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

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Optimal distributed control problem for the modified Swift-Hohenberg equations

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