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Optimal control in a macroeconomic problem

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Abstract

The Pontryagin maximum principle is used to develop an original algorithm for finding an optimal control in a macroeconomic problem. Numerical results are presented for the optimal control and optimal trajectory of the development of a regional economic system. For an optimal control satisfying a certain constraint, an invariant of a macroeconomic system is derived.

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References

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Authors and Affiliations

  1. Far East State University of Communication Means, ul. Serysheva 47, Khabarovsk, 680056, Russia

    V. K. Bulgakov & G. L. Shatov

Authors
  1. V. K. Bulgakov
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  2. G. L. Shatov
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Correspondence to V. K. Bulgakov.

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Original Russian Text © V.K. Bulgakov, G.L. Shatov, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 8, pp. 1308–1322.

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Bulgakov, V.K., Shatov, G.L. Optimal control in a macroeconomic problem. Comput. Math. and Math. Phys. 47, 1253–1267 (2007). https://doi.org/10.1134/S0965542507080040

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  • DOI: https://doi.org/10.1134/S0965542507080040

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