Construction of Control with Constraints for Nonlinear Systems with Coefficients Depending on the Control Object State

Construction of Control with Constraints for Nonlinear Systems with Coefficients Depending on the Control Object State

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...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-10, Vol.250 (1), p.76-82
Hauptverfasser: Murzabekov, Z. N., Mirzakhmedova, G. A.
Format: Artikel
Sprache:eng
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Analysis
Control systems
Differential equations
Economic models
Mathematics
Mathematics and Statistics
Nonlinear control
Nonlinear systems
Optimal control
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creator Murzabekov, Z. N.
Mirzakhmedova, G. A.
description 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.
doi_str_mv 10.1007/s10958-020-04999-4
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subjects Analysis
Control systems
Differential equations
Economic models
Mathematics
Mathematics and Statistics
Nonlinear control
Nonlinear systems
Optimal control
title Construction of Control with Constraints for Nonlinear Systems with Coefficients Depending on the Control Object State
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