Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions

被引：22
|
作者：
Aseev, S. M. [1 ,2 ]
Veliov, V. M. [3 ]
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia
[2] Int Inst Appl Syst Anal, A-2361 Laxenburg, Austria
[3] Vienna Univ Technol, Inst Stat & Math Methods Econ, A-1040 Vienna, Austria
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2015年 / 291卷
基金：
俄罗斯基础研究基金会;
关键词：
infinite horizon; Pontryagin maximum principle; transversality conditions; weak regularity assumptions;
D O I：
10.1134/S0081543815090023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with first order necessary optimality conditions for a class of infinite-horizon optimal control problems that arise in economic applications. Neither convergence of the integral utility functional nor local boundedness of the optimal control is assumed. Using the classical needle variations technique we develop a normal form version of the Pontryagin maximum principle with an explicitly specified adjoint variable under weak regularity assumptions. The result generalizes some previous results in this direction. An illustrative economical example is presented.
引用
收藏
页码：S22 / S39
页数：18
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