On the optimal control problem for two regions' macroeconomic model

被引：0

作者：

Surkov, Platon G. ^{[1
,2
]}

机构：

[1] Ural Fed Univ, Sch Econ & Management, Ul Mira 19, Ekaterinburg, Russia

[2] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia

来源：

ARCHIVES OF CONTROL SCIENCES | 2015年 / 25卷 / 04期

关键词：

integrated assessment model for evaluating greenhouse gases reduction policies; optimal control; Pontryagin's maximum principle;

D O I：

10.1515/acsc-2015-0027

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we consider a model of joint economic growth of two regions. This model bases on the classical Kobb-Douglas function and is described by a nonlinear system of differential equations. The interaction between regions is carried out by changing the balance of trade. The optimal control problem for this system is posed and the Pontryagin maximum principle is used for analysis the problem. The maximized functional represents the global welfare of regions. The numeric solution of the optimal control problem for particular regions is found. The used parameters was obtained from the basic scenario of the MERGE.

引用

页码：417 / 427

页数：11

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