TY - JOUR
T1 - Maximum principle for optimal distributed control of the viscous DullinGottwaldHolm equation
AU - Sun, Bing
PY - 2012/2
Y1 - 2012/2
N2 - 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.
AB - 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.
KW - DullinGottwaldHolm equation
KW - Maximum principle
KW - Necessary optimality condition
KW - Optimal control
UR - http://www.scopus.com/inward/record.url?scp=80052792327&partnerID=8YFLogxK
U2 - 10.1016/j.nonrwa.2011.07.037
DO - 10.1016/j.nonrwa.2011.07.037
M3 - Article
AN - SCOPUS:80052792327
SN - 1468-1218
VL - 13
SP - 325
EP - 332
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
IS - 1
ER -