State constrained optimal control problems with states of low regularity
Please always quote using this URN:urn:nbn:de:0296-matheon-5526
- We consider first order optimality conditions for state constrained optimal control problems. In particular we study the case where the state equation has not enough regularity to admit existence of a Slater point in function space. We overcome this difficulty by a special transformation. Under a density condition we show existence of Lagrange multipliers, which have a representation via measures and additional regularity properties.
| Author: | Anton Schiela |
|---|---|
| URN: | urn:nbn:de:0296-matheon-5526 |
| Referee: | Fredi Tröltzsch |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2009/03/02 |
| Release Date: | 2009/02/02 |
| Tag: | |
| Institute: | Technische Universität Berlin |
| Zuse Institute Berlin (ZIB) | |
| MSC-Classification: | 49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Kxx Optimality conditions / 49K20 Problems involving partial differential equations |
| Preprint Number: | 548 |
