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Schiela, Anton:
Barrier methods for optimal control problems with state constraints.
In: SIAM Journal on Optimization.
Bd. 20
(2009)
Heft 2
.
- S. 1002-1031.
ISSN 1095-7189
DOI: https://doi.org/10.1137/070692789
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| Projekttitel: |
Offizieller Projekttitel Projekt-ID DFG Research Center Matheon "Mathematics for key technologies" FZT 86 |
|---|---|
| Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
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.