On an optimal control problem for a nonlinear system

被引：0

作者：

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

机构：

[1] Ural Fed Univ, Physicomath Sci, Ekaterinburg, Russia

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

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2013年 / 19卷 / 04期

关键词：

integrated assessment model for evaluating greenhouse gas reduction policies; optimal control; Pontryagin maximum principle;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：241 / 249

页数：9

共 8 条

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MENDELSOHN, R
RICHELS, R
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[5] MIKHALEVICH VS, 1987, METODY NEVYPUKLOI OP
[6] Pontryagin L.S., 1983, MATEMATICHESKAYA TEO
[7] Rutherford TF, 1999, INT SER OPER RES MAN, V18, P139
[8] SAMARSKII AA, 1989, CHISLENNYE METODY

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