Optimality conditions for a constrained control problem

被引：40

作者：

Stefani, G ^{[1
]}

Zezza, P ^{[1
]}

机构：

[1] UNIV FLORENCE,DIPARTIMENTO MATEMAT DECIS ECON FINANZIARIE ATTUA,I-50134 FLORENCE,ITALY

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1996年 / 34卷 / 02期

关键词：

optimal control; second-order conditions; necessary and sufficient conditions; state-control constraints;

D O I：

10.1137/S0363012994260945

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is devoted to the study of necessary or sufficient second-order conditions for a weak local minimum in an optimal control problem. The problem is stated in the Mayer form and includes equality constraints both on the endpoints and on the state-control trajectory. The second-order conditions are stated through an associated linear-quadratic problem.

引用

下载

页码：635 / 659

页数：25

共 50 条

[21] Optimality Conditions for State-Constrained Dirichlet Boundary Control Problems
N. Arada
J. P. Raymond
Journal of Optimization Theory and Applications, 1999, 102 : 51 - 68
[22] Optimality conditions for vector optimization problem governed by the cone constrained generalized equations
Pang, Li-Ping
Meng, Fan-Yun
Xiao, Ze-Hao
Xu, Na
OPTIMIZATION, 2019, 68 (05) : 921 - 954
[23] Optimality conditions for constrained convex parabolic control problems via duality
Azé, D
Bolintinéanu, S
JOURNAL OF CONVEX ANALYSIS, 2000, 7 (01) : 1 - 17
[24] Optimality Conditions for Constrained Minimax Optimization
Dai, Yu-Hong
Zhang, Liwei
CSIAM TRANSACTIONS ON APPLIED MATHEMATICS, 2020, 1 (02): : 296 - 315
[25] Optimality necessary conditions for an optimal control problem on time scales
Ren, Qiu-Yan
Sun, Jian-Ping
AIMS MATHEMATICS, 2021, 6 (06): : 5639 - 5646
[26] Sufficient second order optimality conditions for a state-constrained optimal control problem of a weakly singular integral equation
Rösch, A
Tröltzsch, F
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2002, 23 (1-2) : 173 - 193
[27] NECESSARY OPTIMALITY CONDITIONS IN PROBLEM OF A TERMINAL CONTROL WITH NONFUNCTIONAL LIMITATIONS
MORDUKHOVICH, BS
KRUGER, AY
DOKLADY AKADEMII NAUK BELARUSI, 1976, 20 (12): : 1064 - 1067
[28] Optimality Conditions in a Control Problem for a Linear System With Bilinear Functional
Aksenyushkina E.V.
Russian Mathematics, 2018, 62 (7) : 53 - 57
[29] Necessary Optimality Conditions in a Nonsmooth Control Problem with Variable Structure
Mansimov, K. B.
Yazdankhag, A. G.
AUTOMATIC CONTROL AND COMPUTER SCIENCES, 2008, 42 (05) : 229 - 235
[30] NECESSARY OPTIMALITY CONDITIONS FOR QUASISINGULAR CONTROLS IN A STEP CONTROL PROBLEM
Ismailov, R. R.
Mansimov, K. B.
CYBERNETICS AND SYSTEMS ANALYSIS, 2008, 44 (01) : 78 - 90

← 1 2 3 4 5 →