Abstract. This paper considers a management model for a reproduction system with the synchronous change of the technological matrix during its restructuring. Such models can be characterized as models with combined (direct and indirect) control links. In the case of production resource reserves, the processes of changing control parameters and transforming technological links should be simultaneous. Invariants are obtained for the relationship between the volume of inputs and outputs of a multi-sector (diversified) economy. As a result, the formalized representation of the structural management model of a reproduction system is modified, and the linear reproduction model is replaced by a nonlinear one. The results of numerical calculations using this model and the real data of a diversified economy are presented. Based on the results, the obtained model is compared with the original restructuring model of a reproduction system.
Keywords: structural management, nonlinear model, reproduction system, transformation of the technological matrix, optimal restructuring process.