On some nonlinear optimal control problems with vector-valued affine control constraints

Abstract:

We investigate a class of nonlinear optimal control problems with pointwise affine control constraints. Necessary optimality conditions of first order and sufficient second-order conditions are obtained. For the numerical solution of the optimal control problems a semismooth Newton method is proposed. Local superlinear convergence of the infinite-dimensional method is proved. Finally, the properties of the method are tested numerically by controlling the Navier-Stokes equations with affine constraints.

Año de publicación:

2009

Keywords:

• Affine control constraints
• Optimal Control
• Semi-smooth Newton methods

Fuente:

google

scopus