Relaxation and controllability in optimal control problems

被引：6

作者：

Avakov, E. R. ^{[1
,2
]}

Magaril-Il'yaev, G. G. ^{[3
,4
,5
]}

机构：

[1] Russian Acad Sci, Inst Control Sci, Moscow, Russia

[2] Moscow MV Lomonosov State Univ, Moscow, Russia

[3] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow, Russia

[4] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow, Russia

[5] Russian Acad Sci, South Math Inst, Vladikavkaz Sci Ctr, Vladikavkaz, Russia

来源：

SBORNIK MATHEMATICS | 2017年 / 208卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

optimal control; Pontryagin maximum principle; controllability; regularity; relaxation; mix of controls;

D O I：

10.1070/SM8721

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is concerned with the relationships between necessary minimum conditions in an optimal control problem, minimum conditions in the corresponding relaxed problem and sufficient conditions for local controllability of the system. The results obtained are applied to a fairly general optimal control problem.

引用

页码：585 / 619

页数：35

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