Weakening State Constraints in Optimal Control Problems

被引：1

作者：

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

机构：

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

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

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2023年 / 321卷 / 01期

关键词：

optimal control; state constraint; risk zone; differential inclusion; MINIMAL TIME;

D O I：

10.1134/S0081543823020025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An optimal control problem is considered in which the integral term of the functional to be minimized contains the characteristic function of a given open set of undesirable system states. The statement of this problem can be viewed as a weakening of the statement of the standard optimal control problem with a state constraint. Conditions are obtained that guarantee the equivalence of these problems. Two illustrative examples are given.

引用

页码：24 / 36

页数：13

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