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URN to cite this document: urn:nbn:de:bvb:703-epub-1980-4
Title data
Baier, Robert ; Gerdts, Matthias ; Xausa, Ilaria:
Approximation of reachable sets using optimal control algorithms.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2010
. - 46 S.
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Project information
| Project title: |
Project's official title Project's id Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735-SADCO HIM Junior Trimester Program "Computational Mathematics", Research Group "Numerical discretization methods for differential inclusions and applications to robust optimal control problems" Group C |
|---|---|
| Project financing: |
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Hausdorff Research Institute for Mathematics (HIM) in Bonn |
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Additional notes (visible to public): | original version from April 2010, published as technical report in October 2011
Contents: 1. Problem Formulation 2. Proximal Normals and Inner/Outer Approximation of Sets 2.1 Set Representation Techniques 2.3 Inner/Outer Approximation of Sets 3. Convergence Analysis 3.1 Properties and Approximations of Reachable Sets 3.2 Discrete Approximation of Reachable Sets 4. Numerical Realization 4.1 DFOG Method 5. Numerical Examples 5.1 Kenderov's Example 5.2 Bilinear Example 5.3 Adaptive Version 6. Outline |
| Keywords: | reachable sets; differential inclusions; direct discretization of optimal control problems; distance functions; discrete approximations |
| Subject classification: | Mathematics Subject Classification Code: 93B03 (49J15 49M25 34A60 65L06) |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-1980-4 |
| Date Deposited: | 27 Mar 2015 10:48 |
| Last Modified: | 27 Mar 2015 10:48 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/1980 |
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