Оптимизационный метод в двумерных задачах магнитной маскировки

We consider the optimization problem for the 2D model of magnetic scattering by a permeable obstacle having the form of a circular ring. Problems of this type arise while developing the design technologies of magnetic cloaking devices using the optimization method. The solvability of direct and control problems for the magnetic scattering model under study is proved. The sufficient conditions which provide local uniqueness and stability of optimal solutions are established.