URN to cite this document: urn:nbn:de:bvb:703-epub-5600-0
Title data
Baier, Robert ; Gerdts, Matthias:
Set-Valued Numerical Analysis and Optimal Control.
Borovets
,
2005
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Abstract
This booklet covers set-valued numerical analysis and numerical methods for optimal control. Basic material in Convex and Set-Valued Analysis with a focus on arithmetical set operations, parametrizations of sets and set-valued mappings as well as numerical methods for ordinary differential equations and boundary value problems (one-step methods, shooting method) with a focus on necessary optimality conditions and sensitivity analysis are studied. As applications direct and indirect methods discretizing optimal control problems and set-valued quadrature and Runge-Kutta methods are considered.
Further data
Item Type: | Book / Monograph |
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Keywords: | Set-valued numerical analysis; Optimal control; Convex analysis; Numerical solvers for ordinary differential equations; Differential inclusions; Discrete approximations; Direct and indirect discretization methods for optimal control; Sensitivity analysis; Dynamic programming; Arithmetic set operations; Set-valued maps; Reachable sets; Necessary optimality conditions |
DDC Subjects: | 500 Science 500 Science > 510 Mathematics |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
Language: | English |
Originates at UBT: | Yes |
URN: | urn:nbn:de:bvb:703-epub-5600-0 |
Date Deposited: | 25 May 2021 12:24 |
Last Modified: | 25 May 2021 12:24 |
URI: | https://epub.uni-bayreuth.de/id/eprint/5600 |