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Purpose: the article is devoted to the ways to create adaptive production systems, taking into account the experience of the economies that have successfully emerged from the terminal crisis. One of the tasks is to improve the adaptability of the production system or, at the best, of the socio-economic system as a whole, in a now situation of uncertainty and unpredictable social, technological, structural, economic dynamics.Methods: an approach is based on the provisions of systemic economic theory, specifically on the representation of the socio-economic system in the form of a tetrad, comprising several key subsystems (sectors) that exchange resources (powers) that they possess.Results: noticeable contemporary conditions and the characteristics of the global socio-economic system are identified as a terminal crisis, which is determined by the depth and breadth to cover the regions, countries, industries with serious changes of a new quality in the functioning of economic objects at the different hierarchy levels. Such a crisis, in contrast to a structural crisis, affects all social groups, spheres of subject affairs and actors relations. The paper argues the quite relevant issue of how to make a systemic transition to a new model and paradigm of the economy. With this purpose, we have identified three groups of factors on which a model of the economy in a post-pandemic world can be based at least. Theoretical grounds and practical conclusions are given in order to carry out system assembly (synthesis) of a production system based on the model of the tetrad.Conclusions and Relevance: it is shown that the synthesis of all types of systems – socio-economic, industrial, innovation system – should be carried out on the basis on systemic economic paradigm, taking into account both the new current phenomena and peculiarities on the different economic levels. According to the author conclusion, some of the principles, proposed to organize and manage the corporate systems by Deming, can be used to increase adaptive ability of the production systems at least at the micro level of the Russian economy, which will inevitably be being transformed in a post-pandemic world.