An optimal control problem with a relaxed state constraint.

被引：0
|
作者：
Aseev, S. M. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, RAS, Moscow 119991, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2024年 / 30卷 / 03期
关键词：
optimal control; differential inclusion; Pontryagin's maximum principle; refined Euler-Lagrange inclusion; state constraint; discontinuous integrand; risk zone; MINIMAL TIME;
D O I：
10.21538/0134-4889-2024-30-3-14-29
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We explore an optimal control problem in the context of a specified open set representing "undesirable" system states. This problem statement is closely linked to the standard optimal control problem with a state constraint and can be viewed as a relaxation of the latter. The interrelation between these problems is examined. The recently derived necessary first-order optimality conditions for the discussed problem are presented. Additionally, an illustrative example is given.
引用
收藏
页码：14 / 29
页数：16
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