Robust error estimates for regularization and discretization of bang–bang control problems

Daniel Wachsmuth ()

Computational Optimization and Applications, 2015, vol. 62, issue 1, 289 pages

Abstract: We investigate the simultaneous regularization and discretization of an optimal control problem with pointwise control constraints. Typically such problems exhibit bang–bang solutions: the optimal control almost everywhere takes values at the control bounds. We derive discretization error estimates that are robust with respect to the regularization parameter. These estimates can be used to make an optimal choice of the regularization parameter with respect to discretization error estimates. Copyright Springer Science+Business Media New York 2015

Keywords: Optimal control; Bang–bang control; Tikhonov regularization; Parameter-choice rule; 49K20; 49N45; 65K15 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10589-014-9645-0

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