Optimal distributed control problem for the modified Swift-Hohenberg equations

Bing Sun

Optimal distributed control problem for the modified Swift-Hohenberg equations

Bing Sun^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Article number	131
Journal	Electronic Journal of Differential Equations
Volume	2018
Publication status	Published - 27 Jun 2018

Keywords

Maximum principle
Necessary optimality condition
Optimal distributed control
Swift-Hohenberg equation

Cite this

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title = "Optimal distributed control problem for the modified Swift-Hohenberg equations",

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",

month = jun,

day = "27",

language = "English",

volume = "2018",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Optimal distributed control problem for the modified Swift-Hohenberg equations

AU - Sun, Bing

PY - 2018/6/27

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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

UR - https://www.scopus.com/pages/publications/85049557449

M3 - Article

AN - SCOPUS:85049557449

SN - 1072-6691

VL - 2018

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 131

ER -

Optimal distributed control problem for the modified Swift-Hohenberg equations

Abstract

Keywords

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