TY - JOUR
T1 - An optimal distributed control problem of the viscous Degasperis-Procesi equation
AU - Sun, Bing
N1 - Publisher Copyright:
© The Authors 2015. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
PY - 2016/9/1
Y1 - 2016/9/1
N2 - This paper is concerned with an optimal distributed control problem of the viscous Degasperis-Procesi equation. The Dubovitskii and Milyutin functional analytical approach is adopted in the investigation of the Pontryagin maximum principle of the system. The necessary condition for optimality is established for the problem in the fixed final horizon case and, subsequently, a remark on the applicability of the obtained results is made for illustration.
AB - This paper is concerned with an optimal distributed control problem of the viscous Degasperis-Procesi equation. The Dubovitskii and Milyutin functional analytical approach is adopted in the investigation of the Pontryagin maximum principle of the system. The necessary condition for optimality is established for the problem in the fixed final horizon case and, subsequently, a remark on the applicability of the obtained results is made for illustration.
KW - Degasperis-Procesi equation
KW - maximum principle
KW - necessary optimality condition
KW - optimal distributed control
UR - http://www.scopus.com/inward/record.url?scp=84987667442&partnerID=8YFLogxK
U2 - 10.1093/imamci/dnu059
DO - 10.1093/imamci/dnu059
M3 - Article
AN - SCOPUS:84987667442
SN - 0265-0754
VL - 33
SP - 589
EP - 601
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
IS - 3
ER -