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
收藏
页码：697 / 723
页数：27
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