Algorithm of Parameter Identification of Second-Order Dynamical System with Small Perturbations According to Experimental Data

The problem of identifying the parameters of the second-order linear dynamical systems with small perturbations according to experimental data is solved by reducing it to the problem of minimizing a quadratic functional with constraints in the form of nonlinear algebraic equations. The calculations were carried out on three experimental data sets corresponding to the three types of singular points of a linear system: the saddle, the node, and the center.