Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation

Bing Sun

doi:10.1016/j.jfranklin.2009.10.008

Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation

Bing Sun^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

12 Citations (Scopus)

Abstract

In this paper, the optimal boundary control for the Kuramoto-Sivashinsky equation is considered. The Dubovitskii and Milyutin functional analytical approach is adopted in investigation of Pontryagin's maximum principles of the system in both fixed and free final horizon cases. The necessary conditions are, respectively, presented for the optimal boundary control problems in these two cases.

Original language	English
Pages (from-to)	467-482
Number of pages	16
Journal	Journal of the Franklin Institute
Volume	347
Issue number	2
DOIs	https://doi.org/10.1016/j.jfranklin.2009.10.008
Publication status	Published - Mar 2010

Keywords

Kuramoto-Sivashinsky equation
Maximum principle
Necessary condition
Optimal boundary control

Access to Document

10.1016/j.jfranklin.2009.10.008

Cite this

@article{e9d7ac0b22734798b2c89bce7fba72b6,

title = "Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation",

abstract = "In this paper, the optimal boundary control for the Kuramoto-Sivashinsky equation is considered. The Dubovitskii and Milyutin functional analytical approach is adopted in investigation of Pontryagin's maximum principles of the system in both fixed and free final horizon cases. The necessary conditions are, respectively, presented for the optimal boundary control problems in these two cases.",

keywords = "Kuramoto-Sivashinsky equation, Maximum principle, Necessary condition, Optimal boundary control",

author = "Bing Sun",

year = "2010",

month = mar,

doi = "10.1016/j.jfranklin.2009.10.008",

language = "English",

volume = "347",

pages = "467--482",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

publisher = "Elsevier Ltd.",

number = "2",

}

TY - JOUR

T1 - Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation

AU - Sun, Bing

PY - 2010/3

Y1 - 2010/3

N2 - In this paper, the optimal boundary control for the Kuramoto-Sivashinsky equation is considered. The Dubovitskii and Milyutin functional analytical approach is adopted in investigation of Pontryagin's maximum principles of the system in both fixed and free final horizon cases. The necessary conditions are, respectively, presented for the optimal boundary control problems in these two cases.

AB - In this paper, the optimal boundary control for the Kuramoto-Sivashinsky equation is considered. The Dubovitskii and Milyutin functional analytical approach is adopted in investigation of Pontryagin's maximum principles of the system in both fixed and free final horizon cases. The necessary conditions are, respectively, presented for the optimal boundary control problems in these two cases.

KW - Kuramoto-Sivashinsky equation

KW - Maximum principle

KW - Necessary condition

KW - Optimal boundary control

UR - http://www.scopus.com/inward/record.url?scp=75149173792&partnerID=8YFLogxK

U2 - 10.1016/j.jfranklin.2009.10.008

DO - 10.1016/j.jfranklin.2009.10.008

M3 - Article

AN - SCOPUS:75149173792

SN - 0016-0032

VL - 347

SP - 467

EP - 482

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 2

ER -

Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this