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Set-Valued Numerical Analysis and Optimal Control

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005600
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
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

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