The proposed article is devoted to artificial material systems operating in conditions of information scarcity for effective management. The problem is considered on the example of rotors operating in conditions of icing of surfaces of turbine units used in aviation and the thermal power complex. The analysis of measures to ensure the dynamic stability of rotors, whose surfaces are subject to icing, leading to an uncontrolled increase in local imbalances, is carried out. The relevance of the problem is due to both the general trend of scientific and technological progress aimed at improving technologies and types of products, and modern challenges of the economy. These should primarily include meeting the need for technological processes and types of products that are as close as possible to the requests in terms of the resource of work, cost, cost of operation and disposal. At the same time, the situation at the production site is complicated by the hostile attitude of the so-called Western countries to the development of Russian industry, especially in aviation, the thermal power complex, defense, elec-tronics, etc. All this creates a complex scientific and technical contradiction, burdened by a shortage of material support: financial inse-curity and the absence of a number of components supplied by previously unfriendly countries. Based on the results of the analysis of the dynamic state of the systems, the direction of its technological support is determined. Two methods are proposed to ensure the dynamic stability of the most problematic elements of rotors: wheels of centrifugal and axial compressors (turbines). At the same time, the method of precision preparation of rotor elements for assembly is designed to ensure the installation of the element on the shaft with minimized eccentricity of the forming seal and without imbalance, and the method of eccentricity-virtual assembly of turbine wheels is designed to balance the rotor with a pre–known imbalance. The application of the developed methods makes it possible to solve the formulated scientific and technical contradiction, significantly improve the quality of prod-ucts, reduce the labor intensity and cost of production. Technological processes using these methods have been tested in industrial conditions.