The stability estimates in two-dimensional cloaking problem

We consider control problem for 2-D model of scattering E-polarized electromagnetic waves in unbounded medium containing dielectric obstacle with coated boundary. This problem arises when creating means of cloaking material objects. The role of control in control problem under study is played by boundary conductivity. Solvability of direct and control problems is proved and the optimality system is deduced. The uniqueness and stability of optimal solutions with respect to certain perturbations of both cost functional and incident wave are established.