Postdoctoral Researcher
michi.schuster@fau.de
Room 03.334 | Friedrich-Alexander-Universität Erlangen-Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67142
Hey, my name is Michael and I am a senior scientist at the Chair for Dynamics, Control, Machine Learning and Numerics at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg. I studied Industrial Mathematics at FAU and I got my Doctoral degree in 2021 in the same place.
My main interests are PDE constrained optimization, optimization with probabilistic constraints, optimization under uncertainty and probabilistic robustness. Most of my work is motivated by the “CRC TRR154 Mathematical modelling, simulation and optimization using the example of gas networks” project.
PhD Thesis: Nodal Control and Probabilistic Constrained Optimization using the Example of Gas Networks (July 23, 2021)
Thesis Summary
Akademy
Math Crash Course
Events
• FAU MoD Lecture & Workshop: AI for maths and maths for AI (June 24, 2025. FAU MoD) Talk: “The Turnpike Phenomenon for Optimal Control Problems under Uncertainty”, Erlangen – Bavaria, Germany.
• vocatium Fürth 2025 (May 28, 2025) Career advise for to pupils and teenagers by Martin Gugat, Michael Schuster
• SIGOPT 2025 (March 4, 2025) The location problem for compressor stations in pipeline networks. University of Siegen
• CIN-PDE 2024 (October 7-10, 2024) Poster: Nodal Control and the Turnpike Phenomenon (Martin Gugat, Rüdiger Schultz, Michael Schuster) | see poster. Conference on Control, Inversion and Numerics for PDEs (October 7-10, 2024 at Fudan University, Shanghai)
• Talk (March 08, 2024) Gas Network Modelling and Optimal Locations for Control under Uncertainty. Nanzan University
• EUCCO 2023 (September 25, 2023): An a posteriori Probabilistic Robustness Check for Deterministic Optimal Controls. Heidelberg
• ICIAM 2023 TOKYO (August 25, 2023) A Turnpike Result for Optimal Boundary Control Problems with the Transport Equation under Uncertainty, Tokyo.
• XVI Intl. Conference Stochastic Programming (July 27, 2023) Probabilistic Constrained Optimization on Gas Networks. University of California Davis, USA.
• 14th International Conference on Monte Carlo Methods and Applications (Jun 29, 2023) An a posteriori Probabilistic Robustness Check for Deterministic Optimal Controls, Sorbonne Université in Paris, France.
• FAU Kolloqium Mathematik (May 09, 2023) Nodal control and probabilistic constrained optimization using the example of gas networks, FAU, Erlangen – Germany.
Projects
• TRR154
My posts on Math & Research
A Turnpike Result for Optimal Boundary Control Problems with the Transport Equation under Uncertainty
Probabilistic Constrained Optimization on Flow Networks
Convexity and Starshapedness of feasible sets in Stationary Flow Networks
My posters
Nodal control and the Turnpike phenomenon
Publications
2025
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ON THE CONVERGENCE OF OPTIMIZATION PROBLEMS WITH KERNEL DENSITY ESTIMATED PROBABILISTIC CONSTRAINTS
In: Applied Set-Valued Analysis and Optimization 7 (2025), p. 209-221
ISSN: 2562-7783
DOI: 10.23952/asvao.7.2025.2.05
BibTeX: Download
2024
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The location problem for compressor stations in pipeline networks
In: Mathematics and Mechanics of Complex Systems 12 (2024), p. 507–546
ISSN: 2326-7186
DOI: 10.2140/memocs.2024.12.507
BibTeX: Download - , :
Optimal Neumann control of the wave equation with L1-control cost: the finite-time turnpike property
In: Optimization (2024)
ISSN: 0233-1934
DOI: 10.1080/02331934.2024.2373904
BibTeX: Download
2023
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A Dynamic Multilevel Model of the European Gas Market
In: Communications in Optimization Theory 11 (2023), p. 1-26
ISSN: 2051-2953
DOI: 10.23952/cot.2023.11
BibTeX: Download
2022
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Probabilistic constrained optimization on flow networks
In: Optimization and Engineering 23 (2022), p. 1--50
ISSN: 1389-4420
DOI: 10.1007/s11081-021-09619-x
BibTeX: Download - , , :
Optimal Control for ODEs and PDEs: The Turnpike Phenomenon
65th Joint Conference on Automatic Control (Utsunomiya, November 12, 2022 - November 13, 2022)
In: Extended Abstracts of the 65th Joint Conference on Automatic Control 2022
BibTeX: Download - , :
Max-p Optimal Boundary Control of Gas Flow
25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022) (Bayreuth, September 12, 2022 - September 16, 2022)
In: Baumann, Michael Heinrich; Grüne, Lars; Jacob, Birgit; Worthmann, Karl (ed.): Extended Abstracts presented at the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022 2022
DOI: 10.15495/EPub_UBT_00006809
BibTeX: Download
2021
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The Finite-Time Turnpike Phenomenonfor Optimal Control Problems:Stabilization by Non-smooth TrackingTerms
In: Grigory Sklyar, Alexander Zuyev (ed.): Stabilization of Distributed Parameter Systems: Design Methods and Applications, 6330 Cham, Switzerland: Springer Nature Switzerland AG.The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland, 2021, p. 17-41 (SEMA SIMAI Springer SeriesICIAM 2019 SEMA SIMAI Springer Series, Vol.2)
DOI: 10.1007/978-3-030-61742-4
BibTeX: Download - :
Nodal Control and Probabilistic Constrained Optimization using the Example of Gas Networks (Dissertation, 2021)
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/410
BibTeX: Download
2020
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CONVEXITY AND STARSHAPEDNESS OF FEASIBLE SETS IN STATIONARY FLOW NETWORKS
In: Networks and Heterogeneous Media 15 (2020), p. 171-195
ISSN: 1556-1801
DOI: 10.3934/nhm.2020008
BibTeX: Download
2018
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Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints
In: Mathematical Problems in Engineering 2018 (2018), Article No.: Article ID 7984079
ISSN: 1024-123X
DOI: 10.1155/2018/7984079
URL: https://www.hindawi.com/journals/mpe/2018/7984079/
BibTeX: Download
