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^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

22 Citations (Scopus)

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.

Original language	English
Pages (from-to)	325-332
Number of pages	8
Journal	Nonlinear Analysis: Real World Applications
Volume	13
Issue number	1
DOIs	https://doi.org/10.1016/j.nonrwa.2011.07.037
Publication status	Published - Feb 2012

Keywords

DullinGottwaldHolm equation
Maximum principle
Necessary optimality condition
Optimal control

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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.",

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KW - Optimal control

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Maximum principle for optimal distributed control of the viscous DullinGottwaldHolm equation

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Keywords

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