Publications in Scientific Journals:
J. Preininger, V. Phan:
"On the Convergence of the Gradient Projection Method for Optimal Control Problems with Bang-Bang Solutions";
Computational Optimization and Applications,
70
(2018),
1;
221
- 238.
English abstract:
We revisit the gradient projection method in the framework of nonlinear optimal control problems with bang-bang solutions. We obtain the strong convergence of the iterative sequence of controls and the corresponding trajectories. Moreover, we establish a convergence rate, depending on a constant appearing in the corresponding switching function and prove that this convergence rate estimate is sharp. Some numerical illustrations are reported confirming the theoretical results.
Keywords:
Gradient projection method, Strong convergence, Convergence rate, Optimal control, Bang-bang contro
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s10589-018-9981-6
Created from the Publication Database of the Vienna University of Technology.