The problem of construction control for linear dynamical system according to reference law of motion

The article deals with the problem of optimal control for linear dynamical system with an integral quality criterion characterizing law of motion deviation from some reference law. We proposed an approach to solution of the problem based on mathematical programming with control constancy on the first interval and with simultaneous detection of control switching point; and showed the ways to find the subsequent switching points. The theoretical justification of the proposed approach was presented.