The article examines a functional-dynamic model of implementing intelligent digital platforms and solutions, whose governing role in the development of a macroeconomic system is taken into account using a feedback mechanism. The relevance of the study is demonstrated in the context of active digital transformation of industries. The mathematical form of the model under consideration is a system of nonlinear differential equations of an evolutionary type, similar to dynamic models of the development of biological communities. An analysis of a macrosystem influenced by innovative technologies is carried out. As such a system, a two-sector macrostructure is considered, simulating the impact through the implementation and use of intelligent digital platforms (IDP) of two related industries, which are the transport and logistics and manufacturing sectors. The objective of the work is to study the stable states of such a structure. The model allows for taking into account the influence of investments in IDPs based on the principle of their proportionality to the growth rates of return on assets in these industries. In the work, quantitative estimates of the parameters of the original model are adjusted. An analysis of the macrosystem is carried out under conditions of different development rates of the interacting industries. The stability of the system according to Lyapunov is studied. An asymptotic approximation ‒ a solution to the problem ‒ was constructed using A.B. Vasil’eva's boundary layer decomposition method. The results describe the process of self-organization in a stable model of interaction between two related industries, supported by integrated digital platforms.

Keywords: functional-dynamic model, intelligent digital platforms, two-sector macrostructure, transport and logistics industry, production, sustainability, inter-industry interaction, asymptotic analysis, boundary layer function method