The paper presents a description of the method for parametrization the kernels of the Volterra-Wiener series using the functional derivative. The method is considered in detail using the example of the nonlinear differential Riccati equation and is confirmed by system identification.

Keywords: Volterra-Wiener functional series, parametrization, Riccati equation, system identification

The paper describes a method for a measuring amplitude-frequency characteristics using a random broadband signal as a test signal. The results of an experimental verification of the proposed method are given, as the hardware implementation of the meter.

Keywords: measuring instrument amplitude-frequency characteristics, identification, Wiener-Hopf equation, discrete fourier transform

This article includes a short description of correlation method of identification system in applying for electromechanical stabilization system of video camera. It also includes experimental confirmation of the calculation results. The simulation model of the device is developed on the basis of the results obtained.

Keywords: identification, problem of "black box", Volterra-Wiener series, impulse response, simulation modeling

The article describes the problems of mathematical modeling of large systems. Scientific novelty of the work consists in the implementation of a new numerical method for solving systems of linear algebraic equations. This method is based on a targeted random search and stochastic calculations whith using of cloud technologies.

Keywords: system of linear algebraic equations, cloud computing, self-organization, metric