An approach to the analysis of human resource capacity of the industrial enterprise and one of its departments from the perspective of systems theory. Using the machine systems engineering ensure that a human resource capacity of the enterprise as a complex multi-level dynamic system. The use of elements of graph theory, pattern recognition theory allowed to plan ways of formalization of mathematical representation of this system in the form required for the establishment of an appropriate expert system. Representation structures in the form of graphs allows us to analyse the quality of relationships between the individual levels of human resources and between its elements within each level. When analysing the dynamics of the state units of personnel potential at the level of the subsystem to use the space of states with the corresponding classes.