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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 5, Pages 776–790
(Mi zvmmf4684)
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This article is cited in 1 scientific paper (total in 1 paper)
Optimal control and optimal trajectories of regional macroeconomic dynamics based on the Pontryagin maximum principle
V. K. Bulgakov, V. V. Strigunov Pacific Ocean State University, Tikhookeanskaya ul. 136, Khabarovsk, 680035, Russia
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.
Key words:
optimal control - optimal trajectories - Pontryagin maximum principle, boundary value problem, integral curves, solution algorithm, numerical study.
Received: 17.10.2008
Citation:
V. K. Bulgakov, V. V. Strigunov, “Optimal control and optimal trajectories of regional macroeconomic dynamics based on the Pontryagin maximum principle”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009), 776–790; Comput. Math. Math. Phys., 49:5 (2009), 748–761
Linking options:
https://www.mathnet.ru/eng/zvmmf4684 https://www.mathnet.ru/eng/zvmmf/v49/i5/p776
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