Preininger, J., Scarinci, T., & Veliov, V. (2018). On the Regularity of Linear-Quadratic Optimal Control Problems with Bang-Bang Solutions. In I. Lirkov & S. Margenov (Eds.), Large-Scale Scientific Computing 11th International Conference, LSSC 2017, Sozopol, Bulgaria, June 5-9, 2017, Revised Selected Papers (pp. 237–245). Springer International Publishing. https://doi.org/10.1007/978-3-319-73441-5_25
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Book Title:
Large-Scale Scientific Computing 11th International Conference, LSSC 2017, Sozopol, Bulgaria, June 5-9, 2017, Revised Selected Papers
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Abstract:
The paper investigates the stability of the solutions of linear- quadratic optimal control problems with bang-bang controls in terms of metric sub-regularity and bi-metric regularity. New sufficient conditions for these properties are obtained, which strengthen the known conditions for sub-regularity and extend the known conditions for bi-metric regularity to Bolza-type problems.
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Keywords:
regularity; optimal control; linear-quadratic problems; bang- bang controls
