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

被引：31

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

共 50 条

[1] A Survey on Regularity Conditions for State-Constrained Optimal Control Problems and the Non-degenerate Maximum Principle
Aram Arutyunov
Dmitry Karamzin
[J]. Journal of Optimization Theory and Applications, 2020, 184 : 697 - 723
[2] A Maximum Principle for State-Constrained Optimal Sweeping Control Problems
Khalil, Nathalie T.
Pereira, Fernando Lobo
[J]. IEEE CONTROL SYSTEMS LETTERS, 2022, 7 : 43 - 48
[3] Non-degenerate maximum principle for optimal control problems with discontinuous right-hand side
Kostyukova, O., I
Dudina, O. S.
[J]. OPTIMIZATION, 2020, 69 (01) : 91 - 114
[4] Maximum principle of state-constrained optimal control governed by fluid dynamic systems
Wang, GS
Wang, LJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (08) : 1911 - 1931
[5] A Pontryagin maximum principle for terminal state-constrained optimal control problems of Volterra integral equations with singular kernels
Moon, Jun
[J]. AIMS MATHEMATICS, 2023, 8 (10): : 22924 - 22943
[6] On regularity conditions in higher-order state-constrained control
Karamzin, D. Yu.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 452
[7] Second-Order Sufficient Conditions for State-Constrained Optimal Control Problems
K. Malanowski
H. Maurer
S. Pickenhain
[J]. Journal of Optimization Theory and Applications, 2004, 123 : 595 - 617
[8] Second-order sufficient conditions for state-constrained optimal control problems
Malanowski, K
Maurer, H
Pickenhain, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 123 (03) : 595 - 617
[9] On controllability of trajectories in state-constrained optimal control problems
Arutyunov A.V.
Chernikova N.Yu.
[J]. Journal of Mathematical Sciences, 2001, 103 (6) : 664 - 669
[10] SOME REMARKS ON STATE-CONSTRAINED OPTIMAL CONTROL PROBLEMS
LITT, FX
LEITMANN, G
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1973, 17 (01) : 81 - 96

← 1 2 3 4 5 →