Necessary conditions for optimal control problem under state constraints

被引：0

作者：

Kim, KE ^{[1
]}

机构：

[1] Seoul Natl Univ Technol, Sch Liberal Arts, Dept Math, Seoul 139743, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2005年 / 42卷 / 01期

关键词：

necessary conditions; state constraints; Fermat's rule; contingent cone; closed convex process;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary conditions for a deterministic optimal control problem which involves states constraints are derived in the form of a maximum principle. The conditions are similar to those of F.H. Clarke, R.B. Vinter and G. Pappas who assume that the problem's data are Lipschitz. On the other hand, our data are not-continuously differentiable but out only differentiable. Fermat's rule and Rockafellar's duality theory of convex analysis are the basic techniques in this paper.

引用

页码：17 / 35

页数：19

共 50 条

[1] “Necessary extremum conditions in the optimal control problem with state constraints”
D. Yu. Karamzin
[J]. Computational Mathematics and Mathematical Physics, 2008, 48 : 336 - 336
[2] Necessary extremum conditions in the optimal control problem with state constraints
Karamzin D.Yu.
[J]. Computational Mathematics and Mathematical Physics, 2007, 47 (7) : 1073 - 1100
[3] Necessary conditions for optimal control problems with state constraints
Vinter, RB
Zheng, H
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (03) : 1181 - 1204
[4] Necessary conditions for a nonclassical control problem with state constraints
Arroud, Chems Eddine
Colombo, Giovanni
[J]. IFAC PAPERSONLINE, 2017, 50 (01): : 506 - 511
[5] NECESSARY AND SUFFICIENT DYNAMIC-PROGRAMMING CONDITIONS FOR OPTIMAL-CONTROL PROBLEM WITH STATE CONSTRAINTS
KHRUSTALEV, MM
[J]. LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1990, 143 : 311 - 320
[6] Necessary conditions for a weak minimum in an optimal control problem with mixed constraints
Arutyunov, AV
Karamzin, DY
[J]. DIFFERENTIAL EQUATIONS, 2005, 41 (11) : 1532 - 1543
[7] Necessary Conditions for a Weak Minimum in an Optimal Control Problem with Mixed Constraints
A. V. Arutyunov
D. Yu. Karamzin
[J]. Differential Equations, 2005, 41 : 1532 - 1543
[8] Hamiltonian necessary conditions for a multiobjective optimal control problem with endpoint constraints
Zhu, QJJ
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (01) : 97 - 112
[9] NECESSARY CONDITIONS FOR INFINITE HORIZON OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS
Basco, Vincenzo
Cannarsa, Piermarco
Frankowska, Helene
[J]. MATHEMATICAL CONTROL AND RELATED FIELDS, 2018, 8 (3-4) : 535 - 555
[10] Nondegenerate necessary conditions for optimal impulsive control problems with state constraints
Arutyunov, A
Karamzin, D
Pereira, F
[J]. 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 233 - 238

← 1 2 3 4 5 →