Study of an Optimal Control Problem Related to the Solow Control Model

被引：3

作者：

Nikol'skii, M. S. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

[2] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2016年 / 292卷

基金：

俄罗斯基础研究基金会;

关键词：

Solow model; optimal control; mixed constraints on control; Pontryagin's maximum principle;

D O I：

10.1134/S008154381602019X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Solow model of optimal economic growth. The statement of the optimal control problem under consideration contains mixed constraints on the control. A special change of the control is used to reduce the problem to the study of a new controlled object with a usual geometric constraint. The reachable set of the original control system is found, an existence theorem for the optimal control is proved, and sufficient conditions for the absence of singular regimes are obtained.

引用

页码：S231 / S237

页数：7

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