Adaptive regularization and discretization of Bang-Bang optimal control problems

zbMath1287.49025MaRDI QIDQ2450048

Daniel Wachsmuth

Publication date: 14 May 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol40/abstract_vol40_pp249-267.html

zbMATH Keywords

optimal controlbang-bang controlTikhonov regularizationparameter choice rule

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Discrete approximations in optimal control (49M25) Inverse problems in optimal control (49N45) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (8)

On the no-gap second-order optimality conditions for a non-smooth semilinear elliptic optimal control ⋮ Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations ⋮ Regularization and implicit Euler discretization of linear-quadratic optimal control problems with bang-bang solutions ⋮ A priori stopping rule for an iterative Bregman method for optimal control problems ⋮ Robust error estimates for regularization and discretization of bang-bang control problems ⋮ Tikhonov regularization of control-constrained optimal control problems ⋮ Error estimates for the approximation of multibang control problems ⋮ Galerkin spectral approximation of optimal control problems with \(L^2\)-norm control constraint

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