Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints

被引：0
|
作者：
S. M. Aseev
机构：
[1] Steklov Mathematical Institute of the Russian Academy of Sciences,Krasovskii Institute of Mathematics and Mechanics
[2] International Institute for Applied Systems Analysis,undefined
[3] Ural Branch of the Russian Academy of Sciences,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2017年 / 297卷
关键词：
optimal control; infinite horizon; unbounded controls; existence of a solution; the Pontryagin maximum principle;
D O I：
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学科分类号：
摘要：
We consider a class of infinite-horizon optimal control problems with not necessarily bounded set of control constraints. Sufficient conditions for the existence of an optimal control are derived in the general nonlinear case by means of finite-horizon approximations and the tools of the Pontryagin maximum principle. Conditions guaranteeing the uniform local boundedness of optimal controls are also obtained.
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页码：1 / 10
页数：9
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