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

下载

页码：241 / 249

页数：9

共 50 条

[1] On the Optimal Control Problem of a Nonlinear Elliptic Population System
JIA Chao-Hua FENG De-Xing (Institute of Systems Science
自动化学报, 2005, (02) : 175 - 181
[2] TIME OPTIMAL CONTROL PROBLEM OF NONLINEAR-SYSTEM
GERBIER, Y
REVUE FRANCAISE D AUTOMATIQUE INFORMATIQUE RECHERCHE OPERATIONNELLE, 1973, 7 (AUG): : 83 - 89
[3] Gradient methods in an optimal control problem for a nonlinear elliptic system
Serovaiskii, SY
SIBERIAN MATHEMATICAL JOURNAL, 1996, 37 (05) : 1016 - 1027
[4] An optimal control problem of a coupled nonlinear parabolic population system
Jia, Chao-hua
Feng, De-xing
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2007, 23 (03): : 377 - 388
[5] An Optimal Control Problem of a Coupled Nonlinear Parabolic Population System
Chao-hua Jia Department of Applied Mathematics
Acta Mathematicae Applicatae Sinica, 2007, (03) : 377 - 388
[6] A descriptor system approach to nonlinear singularly perturbed optimal control problem
Fridman, E
AUTOMATICA, 2001, 37 (04) : 543 - 549
[7] REMARKS ON THE OPTIMAL-CONTROL PROBLEM FOR A STRONGLY NONLINEAR HYPERBOLIC SYSTEM
RIVERA, JEM
ACTA MATHEMATICA HUNGARICA, 1992, 59 (1-2) : 151 - 157
[8] Optimal control problem for cancer invasion parabolic system with nonlinear diffusion
Sowndarrajan, P. T.
Shangerganesh, L.
OPTIMIZATION, 2018, 67 (10) : 1819 - 1836
[9] On the control of a nonlinear dynamic system in a time-optimal problem with state constraints
Kandoba, I. N.
Koz'min, I. V.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (02): : 150 - 162
[10] On the Control of a Nonlinear Dynamic System in a Time-Optimal Problem with State Constraints
Kandoba, I. N.
Koz'min, I. V.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2017, 299 : 75 - 87

← 1 2 3 4 5 →