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

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  • Daniel Wachsmuth

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

Suggested Citation

  • Daniel Wachsmuth, 2015. "Robust error estimates for regularization and discretization of bang–bang control problems," Computational Optimization and Applications, Springer, vol. 62(1), pages 271-289, September.
    • Handle: RePEc:spr:coopap:v:62:y:2015:i:1:p:271-289
    DOI: 10.1007/s10589-014-9645-0
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    References listed on IDEAS

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    1. Klaus Deckelnick & Michael Hinze, 2012. "A note on the approximation of elliptic control problems with bang-bang controls," Computational Optimization and Applications, Springer, vol. 51(2), pages 931-939, March.
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