TY - JOUR
T1 - Pontryagin's maximum principle for optimal boundary control of a generalised Korteweg-de Vries equation
AU - Sun, Bing
PY - 2010/6
Y1 - 2010/6
N2 - In this article, the optimal boundary control for a generalised Korteweg-de Vries equation is considered. The Dubovitskii and Milyutin functional analytical approach is adopted in the 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 article, the optimal boundary control for a generalised Korteweg-de Vries equation is considered. The Dubovitskii and Milyutin functional analytical approach is adopted in the 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 - Korteweg-de Vries equation
KW - Maximum principle
KW - Necessary condition
KW - Optimal boundary control
UR - http://www.scopus.com/inward/record.url?scp=77952948732&partnerID=8YFLogxK
U2 - 10.1080/00207720903151300
DO - 10.1080/00207720903151300
M3 - Article
AN - SCOPUS:77952948732
SN - 0020-7721
VL - 41
SP - 699
EP - 708
JO - International Journal of Systems Science
JF - International Journal of Systems Science
IS - 6
ER -