Geodesic
Optimal control and optimal trajectories of regional macroeconomic dynamics based on the Pontryagin maximum principle
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 776-790

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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. 
@article{ZVMMF_2009_49_5_a1,
     author = {V. K. Bulgakov and V. V. Strigunov},
     title = {Optimal control and optimal trajectories of regional macroeconomic dynamics based on the {Pontryagin} maximum principle},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {776--790},
     publisher = {mathdoc},
     volume = {49},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a1/}
}
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V. K. Bulgakov; V. V. Strigunov. Optimal control and optimal trajectories of regional macroeconomic dynamics based on the Pontryagin maximum principle. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 776-790. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a1/