Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
Walter Alt, Roland Herzog, Nataliya Metla, Arnd Rösch · Optimization · 2009
A family of linear-quadratic optimal control problems with pointwise mixed state-control constraints governed by linear elliptic partial differential equations is considered. All data depend on a vector parameter of perturbations. Lipschitz stability with respect to perturbations of the optimal control, the state and adjoint variables, and the Lagrange multipliers is established.