A Survey on Regularity Conditions for State-Constrained Optimal Control Problems and the Non-degenerate Maximum Principle

被引：35

作者：

Arutyunov, Aram ^{[1
]}

Karamzin, Dmitry ^{[2
]}

机构：

[1] RAS, VA Trapeznikov Inst Control Sci, Moscow, Russia

[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow, Russia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2020年 / 184卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

Optimal control; Maximum principle; State constraints; Regularity conditions; LIPSCHITZ CONTINUITY; LAGRANGE MULTIPLIER; SWEEPING PROCESSES; EULER-LAGRANGE; NORMALITY; APPROXIMATIONS; TRAJECTORIES;

D O I：

10.1007/s10957-019-01623-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A survey on the theory of maximum principle for state-constrained optimal control problems is presented. The focus is on such issues as regularity and controllability conditions, non-degeneracy and normality of the maximum principle, and on the continuity of the measure multiplier.

引用

页码：697 / 723

页数：27

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