On an optimal control problem for a nonlinear system

P. G. Surkov<sup>ab

a</sup> 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

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.

UDC: 517.929

Received: 20.02.2013

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