AN OPTIMAL CONTROL PROBLEM FOR A KIRCHHOFF-TYPE EQUATION

作者：Delgado M^*; Figueiredo G M; Gayte I; Morales Rodrigo C

来源：ESAIM: Control, Optimisation and Calculus of Variations , 2017, 23(3): 773-790.

DOI：10.1051/cocv/2016013

• Optimal control
• optimality system
• adjoint problem
• Euler-Lagrange equation
• Kirchhoff equation

In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality conditions is the Dubovitskii-Milyoutin formalism because the classical arguments do not work. We obtain a characterization of the optimal control by a partial differential system which is solved numerically.

• 出版日期2017-9