Research

Discretization methods combined with regularization for the numerical solution of optimal control problems

Recent publications

  • W. Alt, M. Seydenschwanz: An Implicit Discretization Scheme for Linear-Quadratic Control Problems with Bang-Bang Solutions. Optimization Methods and Software 29(3), 2014, 535-560.
  • M. Seydenschwanz: Diskretisierung und Regularisierung linear-quadratischer Steuerungsprobleme mit Bang-Bang Lösungen. Dissertation, Friedrich-Schiller-Universität, 2014.
  • Ch. Schneider: L¹-Regularization and Dualization of Linear-Quadratic Optimal Control Problems with Bang-Bang Solutions. Dissertation, Friedrich-Schiller-Universität, 2015.
  • W. Alt, Ch. Schneider: Linear-Quadratic Control Problems with L¹-Control Cost. Optimal Control Application and Methods 36, 2015, 512-534, DOI 10.1002/oca.2126.
  • W. Alt, C. Y. Kaya, Ch. Schneider: Dualization and Discretization of Linear-Quadratic Control Problems with Bang--Bang Solutions. EURO Journal on Computational Optimization 4(1), 2016, 47-77, DOI 10.1007/s13675-015-0049-4.
  • W. Alt, Ch. Schneider, M. Seydenschwanz: Regularization and Implicit Euler Discretization of Linear-Quadratic Optimal Control Problems with Bang-Bang Solutions. Applied Mathematics and Computation 287-288, 2016, 104-124, DOI 10.1016/j.amc.2016.04.028. .