Feedback Control Techniques for a Discrete Dynamic Macroeconomic Model with Extra Taxation: An Algebraic Algorithmic Approach

Stelios Kotsios ()
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Stelios Kotsios: Unit of Mathematics and Computer Science, Department of Economics, National and Kapodistrian University of Athens, Sofokleous 1, 10559 Athens, Greece

Mathematics, 2023, vol. 11, issue 19, 1-12

Abstract: In this paper, a model matching feedback law design technique is applied to a macroeconomical model. We calculate, using computational algebra methodology, which paths of government expenditure and extra taxation will lead the system to a desired dynamic behavior. The solution is based on algebraic methods and the development, in computer algebra software, of appropriate symbolic algorithms that produce a class of feedback laws as solutions. A method for solving a linear algebraic system of polynomials equations is provided, as well as its application to the feedback law design.

Keywords: computational algebra; linear discrete dynamical systems; linear feedback; model matching; macroeconomical dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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