The article describes the static and dynamic characteristics necessary for the assessment of the properties of the technological system. It is shown, that the basic static and dynamic characteristics are the stiffness of the bearing systems of the machine, the geometric precision and accuracy of the sizes and the form of the processed product. In the paper a method of constructing dynamic models of small dimensionality, on the basis of which the modeling and management of technological systems of mechanical processing. The dynamic characteristics of the techno-logical system of defined areas of sustainability of the process of cutting.