Prof. Dr. Martin Gugat
Email • PhD in Mathematics, Universität Trier
Optimal boundary control of hyperbolic systems, boundary feedback stabilization, Optimal Control, Optimization, Uncertainty
Professor Akad. Director
Room 03.320 | FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Friedrich-Alexander-Universität Erlangen-Nürnberg
Naturwissenschaftliche Fakultät. Department Mathematik
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WoS/ResearcherID: I-3046-2019 | Scopus | SciProfile
I have obtained my diploma in Mathematics from RWTH Aachen, Nordrhein-Westfalen (1990).
I got promoted at Universität Trier, Rheinland-Pfalz, DE as scientic assistant (1990-2000), Habilitation Angewandte Mathematik (1994-1999) and Dr. rer. nat. (1990-1994).
From 2000 to 2003 I have worked at Technische Universität Darmstadt and 2003 I have joined Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Bavaria – Germany.
Since 2013 I am Academic Director at FAU.
As Akad. Dir. at FAU DCN-AvH, the Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at Friedrich-Alexander-Universität Erlangen-Nürnberg my research interests are Optimal boundary control of hyperbolic systems, boundary feedback stabilization, Optimal Control, Optimization, Uncertainty.
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Research interests
As Akad. Dir. at FAU DCN-AvH, the Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg my research interests are
• Optimal boundary control of hyperbolic systems,
• Boundary feedback stabilization,
• Optimal Control,
• Optimization,
• Uncertainty
Projects
• TRR154 | C03: Nodale Steuerung und das Turnpike Phänomen (since 2014 | 2018 – 2021 | 2022 – now)
• Doctoral School of Information and Biomedical Technologies Polish Academy of Sciences (2022 – now)
• CIN-PDE: Control, inversion and numerics for Partial Differential Equations (2022 – 2025)
• Uncertain data in control of PDE systems (2023 – 2024)
• DFG WA5144/1-1: Analysis and Control of Nonlinear Hyperbolic Systems with Degeneration on Networks (2022 – 2024)
• TRR154 | C05: Beobachter-basierte Datenassimilation bei zeitabhängigen Strömungen in Gasnetzen (2018-2021)
• TRR154 | Team Uncertainty (2018-2021)
• SPP 1253 | Control of System Dynamics in Gas and Water Networks. Optimisation with Partial Differential Equations (2009 – 2012)
Awards
• Förderpreis für den wissenschaftlichen Nachwuchs der Universität Trier (1995) Universität Trier
• Springorum-Denkmünze (1990) Förderverein der RWTH Aachen
Academy
• WS 26/27: Mathematik für Ingenieure B3
• WS 26/27: Mathematik für Ingenieure B1
• SS 26: Mathematik für Ingenieure B3
• SS 26: Mathematik für Ingenieure B2
• SS 26: Mathematik für Ingenieure B1
• SS 26: Steuerung partieller Differentialgleichungen (Control of PDEs)
• SS 26: Transport Phenomena
• SS 26: Probability and stochastic processes
• WS 25/26: Mathematik für Ingenieure B2
• WS 25/26: Mathematik für Ingenieure B1
• SS 25: Mathematik für Ingenieure B2
• WS 24/25: Mathematik für Ingenieure B2
• WS 24/25: Mathematik für Ingenieure B1
• SS 24: Steuerung partieller Differentialgleichungen (Control of PDEs)
• SS 24: Mathematik für Ingenieure B2
• WS 23/24: Mathematik für Ingenieure B3
• WS 23/24: Mathematik für Ingenieure B2
• WS 23/24: Mathematik für Ingenieure B1
• WS 23/24: Transport Phenomena
• SS 23: Mathematik für Ingenieure B2
• SS 23: Probability and stochastic processes
• WS 22/23: Mathematik für Ingenieure B2
• WS 22/23: Mathematik für Ingenieure B1
• WS 22/23: Transport Phenomena
• SS 22: Mathematik für Ingenieure B1
• SS 22: Probability and stochastic processes
• WS 21/22: Mathematik für Ingenieure B3
• WS 20/21: Mathematik für Ingenieure B1
• Übungen zur Mathematik für Ingenieure B1 MB,WING,BPT-M
Attention
Mo. 08:15 – 09:45H, Raum H16
Mo. 12:15 – 13:45H, Raum 0.154-115 | Raum K1-119 Brose-Saal
Do. 08:15 – 09:45H, Raum K2-119
Do. 14:15 – 15:45H, Raum H15 | Raum 02.224 Cauerstr.9
Do. 16:15 – 17:45H, Raum K2-119 | Raum K1-119 Brose-Saal
Fr. 10:15-11:45H, Raum H16
Subject: PF WING-BA-MB ab Sem. 1, PF MB-BA ab Sem. 1, PF WING-BA-ET ab Sem. 1, PF BPT-BA- M ab Sem. 1
• Coaching für Tutoren/-innen in der Ingenieurmathematik
Attention
Mi. 16:00-17:00H
Di. 14:00-16:00H
Mi 10:00-12:00H, Zoom meeting room
Subject: PF WING-BA-MB 1, PF MB-BA 1, PF WING-BA-ET 1, PF BPT-BA-M 1
• Mathematik für Ingenieure B1: MB, WING,BPT-M (Wintersemester 2020/21)
Attention
Mo. 14:15 – 15:45H
Di. 10:15 – 11:45H
Subject: PF WING-BA-MB 1, PF MB-BA 1, PF WING-BA-ET 1, PF BPT-BA-M 1
• FAU Video Portal | Course ID527
Posts on Math & Research
Network design and control: Shape and topology optimization for the turnpike property for the wave equation
Authors: Martin Gugat, Meizhi Qian, Jan Sokolowski
Date: March, 2026
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Limits of the stabilization of a networked hyperbolic system with a circle
Authors: Martin Gugat, Xu Huang
Date: November, 2023
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pyGasControls library (simulation software)
Authors: Martin Gugat, Enrique Zuazua, Aleksey Sikstel
Date: January, 2022
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pyGasControls Framework
Authors: Martin Gugat, Enrique Zuazua, Aleksey Sikstel
Date: December, 2020
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Gas networks uncertainty and Probust constraints: model, distribution and optimization
Authors: Martin Gugat
Date: November, 2020
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Convexity and Starshapedness of feasible sets in Stationary Flow Networks
Authors: Martin Gugat, Michael Schuster
Date: June, 2020
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News / Initiatives
Poster: #NdW25 Long Night Sciences: Das Turnpike-Phänomen in Gasnetzen
Authors: Martin Gugat, Christopher Sorg
Date: October 25, 2025
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#NdW25 Long Night Sciences: Das Turnpike-Phänomen in Gasnetzen
Authors: Martin Gugat, Christopher Sorg
Date: October 25, 2025
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MMAR 2025: The Exponential Turnpike Property for Neural Differential Equations
Authors: Martin Gugat, Jan Sokolowski
Date: August 26 – 29, 2025
Special session on Recent Developments in Optimal Design of Control Systems & the Turnpike Property at the 29th International Conference on Methods and Models in Automation and Robotics (Międzyzdroje, Poland)
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vocatium Fürth 2025
Authors: Martin Gugat, Michael Schuster
Date: May 28, 2025
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An introduction to the turnpike phenomenon with examples and links to recent results(RWTH AAchen University)
Authors: Martin Gugat
Date: November 28, 2024
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Optimal control problems with probabilistic constraintsResearch Workshop on Control and Optimization (online), CMS – Center for Mathematical Sciences in Haifa, Tel Aviv
Authors: Martin Gugat
Date: October 29, 2024
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CIN-PDE 2024, Poster: Nodal Control and the Turnpike Phenomenon | see poster (Fudan University, Shanghai)
Authors: Martin Gugat, Rüdiger Schultz, Michael Schuster
Date: October 7 – 10, 2024
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The turnpike property and stabilization
Authors: Martin Gugat
Date: August 07 – 09, 2024
TRR 154 Summer School on Optimization, Uncertainty and AI. Universität Hamburg
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Isothermal flow in gas networks: Synchronization of observer systems
Authors: Martin Gugat
Date: November 05 – 10, 2023
Workshop ,Control Methods in Hyperbolic Partial Differential Equations’ at Mathematisches Forschungsinstitut Oberwolfach. Organized by Fabio Ancona (Padua), Bani Anvari (London), Olivier Glass (Paris), Michael Herty (Aachen)
Doctoral examination of Andreas Bernhard Sebastian Brendel
Authors: Martin Gugat (Member of the Committee)
Date: June 20, 2022
“From blind to semi-blind acoustic source separation based on independent component analysis”. He obtained the degree of Dr.-Ing. at the Technical Faculty of FAU under the supervision of Prof. Dr.-Ing. Walter Kellermann
Observer Systeme für Gasnetze, TU Ilmenau
Authors: Martin Gugat
Date: March 15, 2023
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Kolloquium: “Emmy Noether (1882-1935): Mathematician Extraordinaire” FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Authors: FAU
Date: June 01, 2022
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PhD defense by Gaston Vergara-Hermosilla
Authors: Martin Gugat (Referee at PhD defense)
I have served as referee jointly with Marius Tucsnak, Ludovick Gagnon, Yann Legorreck, M. Takéo Takahashi, Franck Sueur, Hans Zwart
Date: October 20, 2021
“Modelling, analysis and control of same water waves-rigid body interactions”. Université de Bordeaux (France)
PhD Examining Committee. Murad Muradi PhD defense under the supervision by Prof. Rolf Wanka
Authors: Martin Gugat (PhD examining Committee)
Date: January 22, 2021
“Heuristic algorithms for the automatic generation of process-time-optimized robot programs in the field of multi-robot systems” at Werner-von Siemens lecture hall of the Technical Faculty at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg
On image, PhD and Professors (left to right): Prof. Franke, PhD supervisor Prof. Wanka, M. Muradi, Prof. Gugat, Prof. Teich. Foto credit: Friedrich-Alexander-Universität Erlangen-Nürnberg.
Poster: Nodal control and the Turnpike phenomenon
Authors: Martin Gugat, Rüdiger Schultz, Michael Schuster
Date: March, 2021
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Poster: Observer-based Data Assimilation in Time-dependent Flows in Gas Networks
Authors: Martin Gugat, Jan Giesselmann, Teresa Kunkel, Sven Weiland
Date: March, 2021
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Publications
• Exact penalization of terminal constraints in the objective functions of optimal control problems by Martin Gugat, Enrique Zuazua
M. Gugat: “This joint research is the result of fruitful discussions with E. Zuazua.”
• Check the Showcase of Martin Gugat’s publications
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