TY - JOUR
T1 - An optimal distributed control problem of the viscous generalized Camassa-Holm equation
AU - Sun, Bing
PY - 2013/6
Y1 - 2013/6
N2 - In this work, an optimal distributed control problem of the viscous generalized Camassa-Holm equation is considered. By the Dubovitskii and Milyutin functional analytical approach, we prove the Pontryagin maximum principle of the investigational system. The necessary condition for optimality is established for the controlled object in the fixed final horizon case and, subsequently, a remark on how to apply the obtained results is made as an illustration.
AB - In this work, an optimal distributed control problem of the viscous generalized Camassa-Holm equation is considered. By the Dubovitskii and Milyutin functional analytical approach, we prove the Pontryagin maximum principle of the investigational system. The necessary condition for optimality is established for the controlled object in the fixed final horizon case and, subsequently, a remark on how to apply the obtained results is made as an illustration.
KW - Camassa-Holm equation
KW - Maximum principle
KW - necessary optimality condition
KW - optimal distributed control
UR - http://www.scopus.com/inward/record.url?scp=84878387586&partnerID=8YFLogxK
U2 - 10.1177/0142331212458520
DO - 10.1177/0142331212458520
M3 - Article
AN - SCOPUS:84878387586
SN - 0142-3312
VL - 35
SP - 409
EP - 416
JO - Transactions of the Institute of Measurement and Control
JF - Transactions of the Institute of Measurement and Control
IS - 4
ER -