An iterative Bregman regularization method for optimal control problems with inequality constraints

Abstract

We study an iterative regularization method of optimal control problems with control constraints. The regularization method is based on generalized Bregman distances. We provide convergence results under a combination of a source condition and a regularity condition on the active sets. We do not assume attainability of the desired state. Furthermore, a priori regularization error estimates are obtained.

Keywords:

• Optimal control
• Bregman regularization
• source condition
• regularization error estimates

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by DFG [grant number Wa 3626/1-1].