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The paper presents control systems intended for materials flow equalization (or materials flow demanded relation) among consumers in various distribution systems. These are water-supply systems, district heating systems, ventilation systems, irrigation systems, boiler burning systems and other systems where the equalization or the relation of materials flow is necessary. All possible types of distribution network configurations are considered: linear, closed and radial networks. Two types of control systems are described and compared for the example of a district heating system. The first type of system functions on the base consumer's (unit's) PID controllers with two types of signal links: successive and parallel. The second system functions on the base unit's fuzzy logic controllers. The MatLab modeling results and recommendations for the choice of system parameters and their calculations are also considered.