The turnpike solutions in the quantum systems control problem

The optimization problem in a spin chain on the basis of Shr${o}$dinger equation is considered. The hamiltonian of the equation contains a combination of linear and nonlinear controls. Using the the degenerate problems theory, the problem is reduced to a regular derived problem. This transformation essentially increases the effectiveness of its investigation by iterative methods. The procedure is demonstrated in computational experiments with the use of visual example. (in Russian)