Is given a method of multicriteria evaluation of building materials (a complex system) based on parametric identification. By invariants of the matrix (natural frequencies, dimensionless damping coefficients, trace of a matrix, determinant) of system of differential equations (describing the kinetic processes of formation of physical and mechanical characteristics) is developed the functional of material quality. Areas of equal quality of material are determined by the functional. Classification of systems by roots of a characteristic polynom is made. The offered approach can be used also for objectification of assessment by the operator of quality of an object of ergatic system in the course of normal operation.

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