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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 241–249 (Mi timm1018)  
On an optimal control problem for a nonlinear system

P. G. Surkovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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Abstract: 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.
Received: 20.02.2013
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: P. G. Surkov, “On an optimal control problem for a nonlinear system”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 241–249
Citation in format AMSBIB
\Bibitem{Sur13}
\by P.~G.~Surkov
\paper On an optimal control problem for a nonlinear system
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 4
\pages 241--249
\mathnet{http://mi.mathnet.ru/timm1018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364382}
\elib{https://elibrary.ru/item.asp?id=20640522}
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