Parametric optimization for a hyperbolic equation in divergence form with a pointwise state constraint: II

摘要

On the basis of the results of the first part of the paper, we consider necessary conditions for minimizing sequences in an optimal control problem with a pointwise state constraint of inequality type and with dynamics described by a linear hyperbolic equation in divergence form with the homogeneous Dirichlet boundary condition. The state constraint contains a function parameter that belongs to the class of continuous functions and occurs as an additive term. For the parametric optimization problem, we also consider regularity and normality conditions stipulated by the differential properties of its value function.