A sharp regularization error estimate for bang-bang solutions for an iterative Bregman regularization method for optimal control problems

2016/06/06 by Frank Pörner, Pörner, Frank
Computer Science · Mathematics · #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.OC

paper · pdf · doi:10.48550/arxiv.1606.01718

arxiv created 2016/06/06 · openalex publication_date 2016/06/06 · arxiv updated 2016/06/07 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In the present work, we present numerical results for an iterative method for solving an optimal control problem with inequality contraints. The method is based on generalized Bregman distances. Under a combination of a source condition and a regularity condition on the active sets convergence results are presented. Furthermore we show by numerical examples that the provided a-priori estimate is sharp in the bang-bang case.

Related

• An inexact iterative Bregman method for optimal control problems
• A priori stopping rule for an iterative Bregman method for optimal control problems
• Tikhonov regularization of control-constrained optimal control problems
• Dual Regularization and Outer Approximation of Optimal Control Problems in BV
• A posteriori error estimates for a bang-bang optimal control problem