Barrier Methods for Optimal Control Problems with State Constraints

Authors:
Anton Schiela
Affiliations:
schiela@zib.de
Venue:
SIAM Journal on Optimization
Year:
2009

Citing 0
Cited 5

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Abstract

We study barrier methods for state constrained optimal control problems with PDEs. The focus of our analysis is the path of minimizers of the barrier subproblems with the aim to provide a solid theoretical basis for function space oriented path-following algorithms. We establish results on existence, continuity, and convergence of this path. Moreover, we consider the structure of barrier subdifferentials, which play the role of dual variables.