International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

In the paper are presented theoretical analysis of the methods for industrial processes modeling and a new approach to modeling and simulation of industrial processes in cases of lack of information on the mechanism of the process.

A theoretical analysis of the stability of the non-equilibrium industrial processes is presented. A unified approach is proposed for the creation of the mathematical models of the processes that allows the determination of the velocities at which the processes move to their thermodynamic equilibriums and their use for mathematical analysis of processes velocities stability. For this purpose is used mathematical stability theory, evolution (autonomous) equations, bifurcation theory (stable focuses, stable cycles), parameter eigenvalues and eigenfunctions.