An Existence Result for Infinite-Horizon Optimal Control Problem with Unbounded Set of Control Constraints

被引：4

作者：

Aseev, Sergey M. ^{[1
,2
]}

机构：

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

[2] Int Inst Appl Syst Anal, Schlosspl 1, A-2361 Laxenburg, Austria

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 32期

关键词：

optimal control; infinite horizon; unbounded controls; existence of a solution; the Pontryagin maximum principle;

D O I：

10.1016/j.ifacol.2018.11.396

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a class of infinite-horizon optimal control problems with not necessarily bounded set of control constraints. Using finite-horizon approximations and tools of the Pontryagin maximum principle sufficient conditions for existence and boundedness of an optimal control are developed in the general nonlinear case. Application of the result obtained to a model of optimal exploitation of a renewable resource is presented. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：281 / 285

页数：5

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