An approach to the linear dynamic systems identification

In this paper, we propose an approach to the identification of linear stationary dynamic systems based on the results of measurements of the phase coordinates of the system at some time interval. Identification of matrix system according to the proposed approach is reduced to constructing and solving the matrix linear algebraic equation. Construction of the equation is based on a comparison of the Cauchy problem solution representation in the form of exponential matrix series and results of the interpolation problem solving of initial table-driven solutions. The results of numerical calculations are presented.