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Optimal control and optimal trajectories of regional macroeconomic dynamics based on the Pontryagin maximum principle

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Abstract

The Pontryagin maximum principle is used to prove a theorem concerning optimal control in regional macroeconomics. A boundary value problem for optimal trajectories of the state and adjoint variables is formulated, and optimal curves are analyzed. An algorithm is proposed for solving the boundary value problem of optimal control. The performance of the algorithm is demonstrated by computing an optimal control and the corresponding optimal trajectories.

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References

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Authors and Affiliations

  1. Pacific Ocean State University, Tikhookeanskaya ul. 136, Khabarovsk, 680035, Russia

    V. K. Bulgakov & V. V. Strigunov

Authors
  1. V. K. Bulgakov
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  2. V. V. Strigunov
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Correspondence to V. K. Bulgakov.

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Original Russian Text © V.K. Bulgakov, V.V. Strigunov, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 5, pp. 776–790.

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Bulgakov, V.K., Strigunov, V.V. Optimal control and optimal trajectories of regional macroeconomic dynamics based on the Pontryagin maximum principle. Comput. Math. and Math. Phys. 49, 748–761 (2009). https://doi.org/10.1134/S0965542509050029

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  • DOI: https://doi.org/10.1134/S0965542509050029

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