Abstract
The input–output (IO) models proposed by W.W. Leontief are an effective tool for scientific modeling of various economic processes. At the same time, dynamic IO models are of particular importance. They are used to analyze macroeconomic trends. The authors of this work are confident that the theoretical and applied results of modern mathematical control theory can be effectively used in dynamic IO models. It is shown that the process of implementing investment programs is equivalent to the problem of constructing program controls, and their corrections in the presence of some disturbances can be modeled as problems of synthesis of stabilizing feedbacks. Moreover, the notions of an investment scenario and a group of acceptable scenarios are introduced. In the framework of the proposed model, the problem of choosing the structure of the control system is discussed. The results of numerical experiments are presented. In conclusion, the problem of multi-program control is formulated.
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Smirnov, N.V., Peresada, V.P., Postnov, K.V., Smirnova, T.E., Zholobov, Y.V. (2022). Dynamic Input–Output Models: Analysis of Possibilities and Trends Control. In: Smirnov, N., Golovkina, A. (eds) Stability and Control Processes. SCP 2020. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-87966-2_71
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