Geodesic
Optimal control in a macroeconomic problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1308-1322

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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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     author = {V. K. Bulgakov and G. L. Shatov},
     title = {Optimal control in a~macroeconomic problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1308--1322},
     publisher = {mathdoc},
     volume = {47},
     number = {8},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a3/}
}
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V. K. Bulgakov; G. L. Shatov. Optimal control in a macroeconomic problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1308-1322. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a3/