Maximum principle for optimal distributed control of the viscous DullinGottwaldHolm equation

Bing Sun

doi:10.1016/j.nonrwa.2011.07.037

Maximum principle for optimal distributed control of the viscous DullinGottwaldHolm equation

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

22 引用（Scopus）

摘要

In this paper, the optimal distributed control of the viscous DullinGottwaldHolm equation is investigated. Adopting the Dubovitskii and Milyutin functional analytical approach, we obtain the Pontryagin maximum principle of the system. The necessary optimality condition is established for an optimal control problem in fixed final horizon case. Finally, an illustrative example is also given.

源语言	英语
页（从-至）	325-332
页数	8
期刊	Nonlinear Analysis: Real World Applications
卷	13
期	1
DOI	https://doi.org/10.1016/j.nonrwa.2011.07.037
出版状态	已出版 - 2月 2012

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10.1016/j.nonrwa.2011.07.037

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abstract = "In this paper, the optimal distributed control of the viscous DullinGottwaldHolm equation is investigated. Adopting the Dubovitskii and Milyutin functional analytical approach, we obtain the Pontryagin maximum principle of the system. The necessary optimality condition is established for an optimal control problem in fixed final horizon case. Finally, an illustrative example is also given.",

keywords = "DullinGottwaldHolm equation, Maximum principle, Necessary optimality condition, Optimal control",

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AB - In this paper, the optimal distributed control of the viscous DullinGottwaldHolm equation is investigated. Adopting the Dubovitskii and Milyutin functional analytical approach, we obtain the Pontryagin maximum principle of the system. The necessary optimality condition is established for an optimal control problem in fixed final horizon case. Finally, an illustrative example is also given.

KW - DullinGottwaldHolm equation

KW - Maximum principle

KW - Necessary optimality condition

KW - Optimal control

UR - https://www.scopus.com/pages/publications/80052792327

U2 - 10.1016/j.nonrwa.2011.07.037

DO - 10.1016/j.nonrwa.2011.07.037

M3 - Article

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JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

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ER -

Maximum principle for optimal distributed control of the viscous DullinGottwaldHolm equation

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