Geodesic
On an optimal control problem for a nonlinear system
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 241-249

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We consider a regional economic growth model described by a system of nonlinear differential equations and pose a problem of finding an optimal control for maximizing the wealth of the region. The problem is analyzed by means of the Pontryagin maximum principle. A numerical solution for a specific region is found, and the results are compared with the basic scenario data of the integrated assessment model MERGE.
Keywords: integrated assessment model for evaluating greenhouse gas reduction policies, optimal control, Pontryagin maximum principle. 
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     author = {P. G. Surkov},
     title = {On an optimal control problem for a nonlinear system},
     journal = {Trudy Instituta matematiki i mehaniki},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a24/}
}
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P. G. Surkov. On an optimal control problem for a nonlinear system. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 241-249. http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a24/