We consider an optimal control problem on a finite time-interval for a three-sector economic control object. We reduce the economic system to an optimal control problem for a nonlinear system with coefficients independent of the control object state and find a nonlinear synthesizing control based on the feedback principle and certain constraints on control. The results obtained for the nonlinear system are used to construct the control parameters in the mathematical model of a three-sector economic control object. We find an optimal distribution between the labor and investment resources satisfying the balance relations. Bibliography: 3 titles. Illustrations: 2 figures.
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Z. N. Murzabekov, “The synthesis of the proportional-differential regulators for the systems with fixed ends of trajectories under two-sided constraints on control values”, Asian J. Control 18, No. 2, 494–501 (2016).
Sh. A. Aipanov and Z. N. Murzabekov, “Analytical solution of a linear quadratic optimal control problem with control value constraints,” J. Comput. Syst. Sci. Int. 53, No. 1, 84–91 (2014).
V. A. Kolemaev, “Optimal balanced growth of open three-sector economic model” [in Russian], Appl. Econom. No. 3, 15–42 (2008).
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Translated from Problemy Matematicheskogo Analiza 104, 2020, pp. 69-74.
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Murzabekov, Z.N., Mirzakhmedova, G.A. Construction of Control with Constraints for Nonlinear Systems with Coefficients Depending on the Control Object State. J Math Sci 250, 76–82 (2020). https://doi.org/10.1007/s10958-020-04999-4
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DOI: https://doi.org/10.1007/s10958-020-04999-4