Error estimates for the regularization of optimal control problems with pointwise control and state constraints

被引：0

作者：

Cherednichenko, S. ^{[1
]}

Roesch, A. ^{[1
]}

机构：

[1] Univ Duisburg Essen, Fachbereich Math, D-47057 Duisburg, Germany

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2008年 / 27卷 / 02期

关键词：

optimal control; linear-quadratic problems; state constraints; Lavrentiev regularization; perturbations; stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss a linear-quadratic optimal control problem with pointwise control and state constraints. The state constraints are regularized by a Lavrentiev type regularization. The main results of the paper are estimates for the regularization error and the stability with respect to noisy data.

引用

页码：195 / 212

页数：18

共 50 条

[31] Stability of semilinear elliptic optimal control problems with pointwise state constraints
M. Hinze
C. Meyer
Computational Optimization and Applications, 2012, 52 : 87 - 114
[32] Multigrid Methods for Elliptic Optimal Control Problems with Pointwise State Constraints
Vallejos, Michelle
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2012, 5 (01) : 99 - 109
[33] Stability of semilinear elliptic optimal control problems with pointwise state constraints
Hinze, M.
Meyer, C.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2012, 52 (01) : 87 - 114
[34] Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints
Meyer, C.
CONTROL AND CYBERNETICS, 2008, 37 (01): : 51 - 83
[35] A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints
F. Tröltzsch
I. Yousept
Computational Optimization and Applications, 2009, 42 : 43 - 66
[36] A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints
Troeltzsch, F.
Yousept, I.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2009, 42 (01) : 43 - 66
[37] Error estimates for the FEM approximation of optimal sparse control of elliptic equations with pointwise state constraints and finite-dimensional control space
Merino, Pedro
Nenjer, Alexander
OPTIMAL CONTROL APPLICATIONS & METHODS, 2020, 41 (05): : 1451 - 1476
[38] On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints
Neitzel, Ira
Troeltzsch, Fredi
CONTROL AND CYBERNETICS, 2008, 37 (04): : 1013 - 1043
[39] Moreau-Yosida regularization to optimal control of the monodomain model with pointwise control and state constraints in cardiac electrophysiology
Robert, Maria
Nadupuri, Suresh Kumar
Chamakuri, Nagaiah
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 457
[40] A Mixed Finite Element Scheme for Optimal Control Problems with Pointwise State Constraints
Wei Gong
Ningning Yan
Journal of Scientific Computing, 2011, 46 : 182 - 203

← 1 2 3 4 5 →