An inexact iterative Bregman method for optimal control problems

摘要

In this article we investigate an inexact iterative regularization methodbased on generalized Bregman distances of an optimal control problem withcontrol constraints. We show robustness and convergence of the inexact Bregmanmethod under a regularity assumption, which is a combination of a sourcecondition and a regularity assumption on the active sets. We also take thediscretization error into account. Numerical results are presented todemonstrate the algorithm.