The complex systems of the construction and industrial complex in the study of their properties and the general laws of functioning by methods of mathematical modeling require a systematic approach. Modeling is a complex multi-stage process of researching systems aimed at identifying the properties and patterns inherent in the studied systems in order to improve these systems. This article discusses the mathematical model of a complex socio-economic system, taking into account the quality indicators presented to the processes of this system. The analysis and design of the innovation system in the framework of technical regulation of activities. The result is a fundamentally new model of technical regulation taking into account the time factor in axonometric form.

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The detailed analysis of the existing models of fi nancial stability for the space-air sector purposes is a subject of this article. Advantages and shortcomings of the existing models of fi nancial stability evaluation are revealed. The analytical conclusions have been drawn.