Martin Gugat

Martin Gugat
Professor Akad. Director

gugat@math.fau.de
Room 03.320 | Friedrich-Alexander-Universität Erlangen-Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67132

My Publications at FAU-CRIS

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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 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.

Showcase of Publications

Check the Showcase of Martin Gugat’s publications

Projects

Doctoral School of Information and Biomedical Technologies Polish Academy of Sciences
TRR154 | C03: Nodale Steuerung und das Turnpike Phänomen (2018-2021)
TRR154 | C05: Beobachter-basierte Datenassimilation bei zeitabhängigen Strömungen in Gasnetzen (2018-2021)
TRR154 | Team Uncertainty (2018-2021)

Exact penalization of terminal constraints in the objective functions of optimal control problems by Martin Gugat, Enrique Zuazua
“This joint research is the result of fruitful discussions with E. Zuazua.” M. Gugat

Teaching

• SS 25: Mathematik für Ingenieure B2
• WS 24/25: Mathematik für Ingenieure B1
• SS 24: Steuerung partieller Differentialgleichungen (Control of PDEs)
• WS 23/24: Mathematik für Ingenieure B3
• SS 23: Mathematik für Ingenieure B2
• WS 22/23: Mathematik für Ingenieure B1
• SS 21/22: Mathematik für Ingenieure B2
• 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 – 09:45, Raum H16
Mo. 12:15 – 13:45, Raum 0.154-115 | Raum K1-119 Brose-Saal
Do. 08:15 – 09:45, Raum K2-119
Do. 14:15 – 15:45, Raum H15 | Raum 02.224 Cauerstr.9
Do. 16:15 – 17:45, Raum K2-119 | Raum K1-119 Brose-Saal
Fr. 10:15-11:45, 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. 16:00-17:00
Di. 14:00-16:00
Mi 10:00-12:00, 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

Events

• November 28, 2024 An introduction to the turnpike phenomenon with examples and links to recent results by M. Gugat, RWTH AAchen University

• October 29, 2024 Optimal control problems with probabilistic constraints by M. Gugat, Research Workshop on Control and Optimization (online), CMS – Center for Mathematical Sciences in Haifa, Tel Aviv

• October 7-10, 2024 CIN-PDE 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)

• August 7, 2024 The turnpike property and stabilization by M. Gugat, TRR 154 Summer School on Optimization, Uncertainty and AI (August 7-9, 2024 at Universität Hamburg)

• November 5-10, 2023 | Isothermal flow in gas networks: Synchronization of observer systems. 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)

• March 15, 2023 Observer Systeme für Gasnetze by M. Gugat, TU Ilmenau

• June 20, 2022 | Member of the Committee. On June 20th, 2022 I participated as a member of the Committee in the doctoral examination of Andreas Bernhard Sebastian Brendel with the topic “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.

• June 01, 2022. Kolloquium: “Emmy Noether (1882-1935): Mathematician Extraordinaire” FAU. Friedrich-Alexander-Universität Erlangen-Nürnberg.

• October 20, 2021 | Referee at PhD defense. On October 20th, 2021 on the PhD defense at Université de Bordeaux (France): “Modelling, analysis and control of same water waves-rigid body interactions” by Gaston Vergara-Hermosilla I have served as referee jointly with Marius Tucsnak, Ludovick Gagnon, Yann Legorreck, M. Takéo Takahashi, Franck Sueur, Hans Zwart.

• January 22, 2021 | PhD Examining Committee. On January 22nd, 2021 I have served as examiner of the PhD Committee on the Murad Muradi PhD defense, under the supervision by Prof. Rolf Wanka, about: “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.

My posts on Math & Research

2025

Gugat M.:
Boundary stabilization of quasi-linear hyperbolic systems with varying time delay
In: SIAM Journal on Control and Optimization 63 (2025), p. 452--471
ISSN: 0363-0129
DOI: 10.1137/24M1648570
BibTeX: Download
Gugat M.:
Stabilization of a cyclic network of strings by nodal control
In: Journal of Evolution Equations 25 (2025), Article No.: 4
ISSN: 1424-3199
DOI: 10.1007/s00028-024-01030-0
BibTeX: Download

2024

Gugat M.:
New Lyapunov functions for systems with source terms
In: Control and Cybernetics 53 (2024), p. 163-187
ISSN: 0324-8569
DOI: 10.2478/candc-2024-008
URL: https://sciendo.com/de/article/10.2478/candc-2024-0008
BibTeX: Download
Gugat M.:
The Finite-Time Turnpike Property in Machine Learning
In: MDPI Machines 12 (2024), Article No.: 705
ISSN: 2075-1702
DOI: 10.3390/machines12100705
URL: https://www.mdpi.com/2075-1702/12/10/705
BibTeX: Download
Gugat M., Giesselmann J.:
An Observer for Pipeline Flow with Hydrogen Blending in Gas Networks: Exponential Synchronization
In: SIAM Journal on Control and Optimization 62 (2024), p. 2273-2296
ISSN: 0363-0129
DOI: 10.1137/23M1563840
URL: https://epubs.siam.org/doi/10.1137/23M1563840
BibTeX: Download
Gugat M., Giesselmann J., Kunkel T.:
Observer-based data assimilation for barotropic gas transport using distributed measurements
In: Communications in Mathematical Sciences 22 (2024), p. 2271-2309
ISSN: 1539-6746
DOI: 10.4310/CMS.240918203214
BibTeX: Download
Gugat M., Giesselmann J., Kunkel T.:
System State Estimation for Gas Flows Using Observers Based on Density Measurements
In: Carlos Parés, Manuel J. Castro, Tomás Morales de Luna, María Luz Muñoz-Ruiz (ed.): Hyperbolic Problems: Theory, Numerics, Applications. Volume II, Cham, Switzerland: Springer Nature, 2024, p. 359-369 (SEMA SIMAI Springer Series, Vol.Volume 35)
DOI: 10.1007/978-3-031-55264-9_31
BibTeX: Download
Gugat M., Herty M., Segala C.:
The turnpike property for mean-field optimal control problems
In: European Journal of Applied Mathematics (2024), p. 1-15
ISSN: 0956-7925
DOI: 10.1017/S0956792524000044
BibTeX: Download
Gugat M., Herty M., Segala C., Liu J.:
The turnpike property for high-dimensional interacting agent systems in discrete time
In: Optimal Control Applications & Methods (2024)
ISSN: 0143-2087
DOI: 10.1002/oca.3172
URL: https://onlinelibrary.wiley.com/doi/10.1002/oca.3172
BibTeX: Download
Gugat M., Schuster M., Sokolowski J.:
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
Gugat M., Sokolowski J., Sokolowski J., Qian M.:
Network Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation
In: Journal of Geometric Analysis 34 (2024), Article No.: 273
ISSN: 1050-6926
DOI: 10.1007/s12220-024-01712-8
URL: https://link.springer.com/article/10.1007/s12220-024-01712-8
BibTeX: Download
Gugat M., Wang Z., Xu H.:
Constrained exact boundary controllability of a quasilinear model for pipeline gas flow
In: Applicable Analysis (2024)
ISSN: 0003-6811
DOI: 10.1080/00036811.2024.2432529
BibTeX: Download
Schuster M., Gugat M.:
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

Gugat M., Habermann J., Hintermüller M., Huber O.:
Constrained exact boundary controllability of a semilinear model for pipeline gas flow
In: European Journal of Applied Mathematics (2023), p. 1-22
ISSN: 0956-7925
DOI: 10.1017/S0956792522000389
URL: https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/abs/constrained-exact-boundary-controllability-of-a-semilinear-model-for-pipeline-gas-flow/FD1A8672AEC80D0C3CA20780787E45A7
BibTeX: Download
Gugat M., Henrion R., Heitsch H.:
A Turnpike Property for Optimal Control Problems with Dynamic Probabilistic Constraints
In: Journal of Convex Analysis 30 (2023), p. 1025--1052
ISSN: 0944-6532
URL: https://www.heldermann.de/JCA/JCA30/JCA303/jca30047.htm
BibTeX: Download
Gugat M., Herty M.:
Turnpike properties of optimal boundary control problems with random linear hyperbolic systems
In: Esaim-Control Optimisation and Calculus of Variations 29 (2023), Article No.: 55
ISSN: 1292-8119
DOI: 10.1051/cocv/2023051
URL: https://www.esaim-cocv.org/articles/cocv/abs/2023/01/cocv220028/cocv220028.html
BibTeX: Download
Gugat M., Huang X., Wang Z.:
Limits of stabilization of a networked hyperbolic system with a circle
In: Control and Cybernetics 52 (2023), p. 79-121
ISSN: 0324-8569
DOI: 10.2478/candc-2023-0033
URL: http://control.ibspan.waw.pl:3000/contents/list?year=2023
BibTeX: Download
Gugat M., Lazar M.:
Optimal Control Problems without Terminal Constraints: The Turnpike Property with Interior Decay
In: International Journal of Applied Mathematics and Computer Science 33 (2023), p. 429–438
ISSN: 1641-876X
DOI: 10.34768/amcs-2023-0031
URL: https://www.amcs.uz.zgora.pl/?action=paper&paper=1715
BibTeX: Download
Gugat M., Lazar M.:
Turnpike properties for partially uncontrollable systems
In: Automatica 149 (2023)
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2022.110844
BibTeX: Download
Gugat M., Qian M., Sokolowski J.:
Topological derivative method for control of wave equation on networks
27th International Conference on Methods and Models in Automation and Robotics (MMAR) (Międzyzdroje, August 22, 2023 - August 25, 2023)
In: IEEE Xplore (ed.): 2023 27th International Conference on Methods and Models in Automation and Robotics 2023
DOI: 10.1109/MMAR58394.2023.10242484
BibTeX: Download
Gugat M., Schuster M., Steffensen S.:
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
Gugat M., Sokolowski J.:
An aspect of the turnpike property. Long time horizon behavior
In: Serdica Mathematical Journal 49 (2023), p. 127-154
ISSN: 1310-6600
DOI: 10.55630/serdica.2023.49.127-154
URL: https://serdica.math.bas.bg/index.php/serdica/article/view/39
BibTeX: Download

2022

Bambach M., Gugat M., Herty M., Thein F.:
Stabilization of forming processes using multi-dimensional Hamilton-Jacobi equations
IEEE 61st Conference on Decision and Control (CDC) (Cancun, MEXICO)
In: 2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC), NEW YORK: 2022
DOI: 10.1109/CDC51059.2022.9992941
BibTeX: Download
Gugat M.:
Optimal boundary control of the wave equation: the finite-time turnpike phenomenon
In: Mathematical Reports 24 (2022), p. 179-186
ISSN: 1582-3067
Open Access: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/10.pdf
URL: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/10.pdf
BibTeX: Download
Gugat M., Herty M.:
Limits of stabilizability for a semilinear model for gas pipeline flow
In: Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler und Emmanuel Trélat (ed.): Optimization and Control for Partial Differential Equations, De Gruyter, 2022, p. 59-71 (Radon Series on Computational and Applied Mathematics, Vol.29)
ISBN: 9783110695984
DOI: 10.1515/9783110695984-003
BibTeX: Download
Gugat M., Herty M.:
Modeling, control, and numerics of gas networks
In: E. Trelat, E. Zuazua (ed.): Handbook of Numerical Analysis, Elsevier, 2022 (Handbook of Numerical Analysis)
DOI: 10.1016/bs.hna.2021.12.002
BibTeX: Download
Gugat M., Schuster M., Lang J., Strauch E.:
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
Gugat M., Sokolowski J.:
On problems of dynamic optimal nodal control for gas networks
In: Pure and Applied Functional Analysis 5 (2022), p. 1699-1715
ISSN: 2189-3764
URL: http://yokohamapublishers.jp/online2/oppafa/vol7/p1699.html
BibTeX: Download
Gugat M., Zuazua Iriondo E., Schuster M.:
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
Schuster M., Gugat M.:
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

Gugat M.:
On the turnpike property with interior decay for optimal control problems
In: Mathematics of Control Signals and Systems (2021)
ISSN: 0932-4194
DOI: 10.1007/s00498-021-00280-4
BibTeX: Download
Gugat M., Giesselmann J.:
Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks
In: Esaim-Control Optimisation and Calculus of Variations 27 (2021), Article No.: 67
ISSN: 1292-8119
DOI: 10.1051/cocv/2021061
BibTeX: Download
Gugat M., Giesselmann J., Kunkel T.:
Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks
In: IMA Journal of Mathematical Control and Information (2021)
ISSN: 0265-0754
DOI: 10.1093/imamci/dnab029
URL: https://academic.oup.com/imamci/advance-article/doi/10.1093/imamci/dnab029/6371370
BibTeX: Download
Gugat M., Krug R., Martin A.:
Transient gas pipeline flow: analytical examples, numerical simulation and a comparison to the quasi-static approach
In: Optimization and Engineering (2021)
ISSN: 1389-4420
DOI: 10.1007/s11081-021-09690-4
URL: https://link.springer.com/article/10.1007/s11081-021-09690-4
BibTeX: Download
Gugat M., Weiland S.:
Nodal Stabilization of the Flow in a Network with a Cycle
In: Journal of Optimization, Differential Equations and Their Applications (2021)
ISSN: 2312-4547
DOI: 10.15421/1421O6
URL: https://model-dnu.dp.ua/index.php/SM/article/view/159/0
BibTeX: Download
Gugat M., Zuazua Iriondo E., Schuster M.:
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

2020

Adelhütte D., Aßmann D., Gonzàlez Grandòn T., Gugat M., Heitsch H., Liers F., Henrion R., Nitsche S., Schultz R., Stingl M., Wintergerst D.:
Joint model of probabilistic/robust (probust) constraints with application to gas network optimization
In: Vietnam Journal of Mathematics (2020)
ISSN: 0866-7179
DOI: 10.1007/s10013-020-00434-y
URL: https://link.springer.com/article/10.1007/s10013-020-00434-y
BibTeX: Download
(Techreport)
Gugat M., Farshbaf-Shaker MH., Holger H., Henrion R.:
Optimal Neumann Boundary Control of a Vibrating String with Uncertain Initial Data and Probabilistic Terminal Constraints
In: SIAM Journal on Control and Optimization 58 (2020), p. 2288-2311
ISSN: 0363-0129
DOI: 10.1137/19M1269944
BibTeX: Download
Gugat M., Hante FM., Jin L.:
Closed loop control of gas flow in a pipe: stability for a transient model
In: At-Automatisierungstechnik 68 (2020), p. 1001-1010
ISSN: 0178-2312
DOI: 10.1515/auto-2020-0071
BibTeX: Download
Gugat M., Herty M.:
A New Model for Transient Flow in Gas Transportation Networks
In: Pammy Manchanda; René Pierre Lozi; Abul Hasan Siddiqi (ed.): Mathematical Modelling, Optimization, Analytic and Numerical Solutions, Singapore: Springer Nature, 2020, p. 147-156 (Industrial and Applied Mathematics book series (INAMA))
ISBN: 978-981-15-0927-8
DOI: 10.1007/978-981-15-0928-5
BibTeX: Download
Gugat M., Mateos M., Troeltzsch F.:
Exponential Stability for the Schlogl System by Pyragas Feedback
In: Vietnam Journal of Mathematics (2020)
ISSN: 0866-7179
DOI: 10.1007/s10013-020-00382-7
BibTeX: Download
Gugat M., Schultz R., Schuster M.:
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

2019

Gugat M.:
A turnpike result for convex hyperbolic optimal boundary control problems
In: Pure and Applied Functional Analysis 4 (2019), p. 849-866
ISSN: 2189-3764
Open Access: http://www.ybook.co.jp/online2/oppafa/vol4/p849.html
URL: http://www.ybook.co.jp/online2/oppafa/vol4/p849.html
BibTeX: Download
Gugat M.:
Exact controllability of a string to rest with a moving boundary
In: Control and Cybernetics 48 (2019), p. 69-87
ISSN: 0324-8569
BibTeX: Download
Gugat M., Gerster S.:
On the limits of stabilizability for networks of strings
In: Systems & Control Letters 131 (2019), Article No.: 104494
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2019.104494
BibTeX: Download
Gugat M., Hante F.:
ON THE TURNPIKE PHENOMENON FOR OPTIMAL BOUNDARY CONTROL PROBLEMS WITH HYPERBOLIC SYSTEMS
In: SIAM Journal on Control and Optimization 57 (2019), p. 264-289
ISSN: 0363-0129
DOI: 10.1137/17M1134470
BibTeX: Download

2018

Gugat M., Leugering G., Martin A., Schmidt M., Sirvent M., Wintergerst D.:
MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems
In: Computational Optimization and Applications 70 (2018), p. 267-294
ISSN: 0926-6003
DOI: 10.1007/s10589-017-9970-1
BibTeX: Download
Gugat M., Leugering G., Martin A., Schmidt M., Sirvent M., Wintergerst D.:
Towards Simulation Based Mixed-Integer Optimization with Differential Equations
In: Networks 72 (2018), p. 60-83
ISSN: 0028-3045
DOI: 10.1002/net.21812
URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/net.21812
BibTeX: Download
(Techreport)
Gugat M., Rosier L., Perrolaz V.:
Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms
In: Journal of Evolution Equations (2018)
ISSN: 1424-3199
DOI: 10.1007/s00028-018-0449-z
URL: https://link.springer.com/article/10.1007/s00028-018-0449-z
BibTeX: Download
Gugat M., Schultz R.:
Boundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Boundary Data
In: SIAM Journal on Control and Optimization 56 (2018), p. 1491–1507
ISSN: 0363-0129
DOI: 10.1137/16M1090156
BibTeX: Download
Gugat M., Schuster M.:
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
Gugat M., Steffensen S.:
DYNAMIC BOUNDARY CONTROL GAMES WITH NETWORKS OF STRINGS
In: Esaim-Control Optimisation and Calculus of Variations 24 (2018), p. 1789-1813
ISSN: 1292-8119
DOI: 10.1051/cocv/2017082
BibTeX: Download
Gugat M., Wintergerst D.:
Transient flow in gas networks: Traveling waves
In: International Journal of Applied Mathematics and Computer Science 28 (2018), p. 341–348
ISSN: 1641-876X
DOI: 10.2478/amcs-2018-0025
URL: https://www.amcs.uz.zgora.pl/?action=paper&paper=1434
BibTeX: Download

2017

Gugat M., Hante F.:
Lipschitz Continuity of the Value Function in Mixed-Integer Optimal Control Problems
In: Mathematics of Control Signals and Systems 29 (2017)
ISSN: 0932-4194
DOI: 10.1007/s00498-016-0183-4
BibTeX: Download
Gugat M., Leugering G., Wang K.:
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict H2-Lyapunov function
In: Mathematical Control and Related Fields 7 (2017), p. 419 - 448
ISSN: 2156-8472
DOI: 10.3934/mcrf.2017015
BibTeX: Download
Gugat M., Ulbrich S.:
The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up
In: Journal of Mathematical Analysis and Applications 454 (2017), p. 439–452
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2017.04.064
URL: http://www.sciencedirect.com/science/article/pii/S0022247X17304274
BibTeX: Download
Leugering G., Gugat M., Wang K.:
NEUMANN BOUNDARY FEEDBACK STABILIZATION FOR A NONLINEAR WAVE EQUATION: A STRICT H-2-LYAPUNOV FUNCTION
In: Mathematical Control and Related Fields 7 (2017), p. 419-448
ISSN: 2156-8472
DOI: 10.3934/mcrf.2017015
BibTeX: Download

2016

Gugat M.:
Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State
In: Mathematical Problems in Engineering 2016 (2016), p. 11
ISSN: 1024-123X
DOI: 10.1155/2016/2743251
URL: http://www.hindawi.com/journals/mpe/2016/2743251/
BibTeX: Download
Gugat M., Trelat E., Zuazua E.:
Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property
In: Systems & Control Letters 90 (2016), p. 61-70
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2016.02.001
BibTeX: Download
Gugat M., Wintergerst D., Schultz R.:
Networks of pipelines for gas with nonconstant compressibility factor: stationary states
In: Computational and Applied Mathematics (2016)
ISSN: 2238-3603
DOI: 10.1007/s40314-016-0383-z
URL: http://link.springer.com/article/10.1007/s40314-016-0383-z
BibTeX: Download
Gugat M., Zuazua E.:
Exact penalization of terminal constraints for optimal control problems
In: Optimal Control Applications & Methods 37 (2016)
ISSN: 0143-2087
DOI: 10.1002/oca.2238
URL: http://onlinelibrary.wiley.com/doi/10.1002/oca.2238/abstract
BibTeX: Download

2015

Gugat M.:
EXPONENTIAL STABILIZATION OF THE WAVE EQUATION BY DIRICHLET INTEGRAL FEEDBACK
In: SIAM Journal on Control and Optimization 53 (2015), p. 526-546
ISSN: 0363-0129
DOI: 10.1137/140977023
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Gugat M.:
Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
Basel: Birkhäuser, 2015
(SpringerBriefs in Control, Automation and Robotics)
ISBN: 978-3-319-18889-8
DOI: 10.1007/978-3-319-18890-4
URL: http://www.springer.com/us/book/9783319188898
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Gugat M., Hante F., Hirsch-Dick M., Leugering G.:
STATIONARY STATES IN GAS NETWORKS
In: Networks and Heterogeneous Media 10 (2015), p. 295-320
ISSN: 1556-1801
DOI: 10.3934/nhm.2015.10.295
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Gugat M., Keimer A., Leugering G., Wang Z.:
ANALYSIS OF A SYSTEM OF NONLOCAL CONSERVATION LAWS FOR MULTI-COMMODITY FLOW ON NETWORKS
In: Networks and Heterogeneous Media 10 (2015), p. 749-785
ISSN: 1556-1801
DOI: 10.3934/nhm.2015.10.749
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Gugat M., Tröltzsch F.:
Boundary feedback stabilization of the Schlögl system
In: Automatica 51 (2015), p. 192-199
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2014.10.106
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Leugering G., Gugat M.:
Time delay in optimal control loops for wave equations
In: Esaim-Control Optimisation and Calculus of Variations (2015), Article No.: 038
ISSN: 1262-3377
DOI: 10.1051/cocv/2015038
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2007

Gugat M.:
Optimal Boundary Control in Flood Management
In: Karl-Heinz Hoffmann, Günter Leugering, Michael Hintermüller (ed.): International Series of Numerical Mathematics, Basel: Birkhäuser, 2007, p. 69-94 (Control of Coupled Partial Differential Equations, Vol.155)
ISBN: 978-3-7643-7721-2
DOI: 10.1007/978-3-7643-7721-2_4
URL: http://link.springer.com/chapter/10.1007/978-3-7643-7721-2_4
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Gugat M.:
Optimal Energy Control in Finite Time by varying the Length of the String
In: SIAM Journal on Control and Optimization 46 (2007), p. 1705-17025
ISSN: 0363-0129
DOI: 10.1137/06065636x
URL: http://www2.am.uni-erlangen.de/~gugat/sicon2007.pdf
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Gugat M., Herty M., Klar A., Leugering G.:
Conservation Law Constrained Optimization
In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 40 (2007), p. 939-960
ISSN: 0764-583X
DOI: 10.1051/m2an:2006037
URL: http://www.edpsciences.org/10.1051/m2an:2006037
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Gugat M., Pfeiffer B.:
Weber problems with mixed distances and regional demand
In: Mathematical Methods of Operations Research 66 (2007), p. 419-449
ISSN: 1432-2994
DOI: 10.1007/s00186-007-0165-x
URL: http://www.springerlink.com/content/k649343352n310q5/fulltext.pdf
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Gugat M., Tucsnak M., Sigalotti M.:
Robustness analysis for the boundary control of the string equation
9th European Control Conference (Kos, July 2, 2007 - July 5, 2007)
In: Proceedings of the 9th European Control Conference, Kos, Greece, 2007. 2007
DOI: 10.23919/ECC.2007.7068766
URL: https://ieeexplore.ieee.org/document/7068766
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Hopfgartner C., Scholz I., Gugat M., Leugering G., Hornegger J.:
Intensity based Three-Dimensional Reconstruction with Nonlinear Optimization
In: Preprint-Series of the Institute of Applied Mathematics, 2007
URL: http://www.am.uni-erlangen.de/de/preprints2000.html
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(anderer)

2006

Gugat M.:
L1-Optimal boundary control of a string to rest in finite time
Twelfth French-German-Spanish Conference on Optimization (Avignon, September 20, 2004 - September 24, 2004)
In: Alberto Seeger (ed.): Recent Advances in Optimization, Berlin: 2006
DOI: 10.1007/3-540-28258-0_10
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Gugat M.:
Optimal boundary control of a string to rest in finite time with continuous state
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 86 (2006), p. 134-150
ISSN: 0044-2267
DOI: 10.1002/zamm.200410236
URL: http://www3.interscience.wiley.com/search/allsearch?WISsearch2=Gugat&WISindexid2=WISall&mode=quicksearch&products=journal&contextLink=%3Ca+href%3D%22%2Findex.html%22+target%3D%22_top%22%3EHome%3C%2Fa%3E+%2F+%3Ca+href%3D%22%2Fcgi-bin%2Fbrowsebysubject%3Fcode%3DMAST%22+target%3D%22_top%22%3EMathematics+and+Statistics%3C%2Fa%3E+%2F+%3Ca+href%3D%22%2Fcgi-bin%2Fbrowsebycategory%3Fcode%3DMA00%22+target%3D%22_top%22%3EMathematics+%28general%29%3C%2Fa%3E&contentOID=5007542&contentTitle=ZAMM&WISindexid1=issn&WISsearch1=1521-4001&articleGo.x=0&articleGo.y=0
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2005

Gugat M.:
Nodal Control of Conservation Laws on Networks
In: John Cagnol and Jean-Paul Zolesio (ed.): Control and Boundary Analysis, Boca Raton: Chapman & Hall/CRC Press, 2005, p. 201-214 (Pure and Applied Mathematics, Vol.240)
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Gugat M.:
Optimal Control of Networked Hyperbolic Systems: Evaluation of Derivatives
In: Advanced Modeling and Optimization 7 (2005), p. 9-37
ISSN: 1841-4311
Open Access: https://www.researchgate.net/profile/Martin_Gugat/publication/228692204_Optimal_nodal_control_of_networked_hyperbolic_systems_Evaluation_of_derivatives/links/02bfe51307bd04410d000000.pdf
URL: http://www.ici.ro/camo/journal/v7n1.htm
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Gugat M., Herty M., Klar A., Leugering G.:
Optimal Control for Traffic Flow Networks
In: Journal of Optimization Theory and Applications 126 (2005), p. 589-616
ISSN: 0022-3239
DOI: 10.1007/s10957-005-5499-z
URL: http://springerlink.metapress.com/app/home/contribution.asp?wasp=a48c9ab2fb6849c59cda936123adab85&referrer=parent&backto=issue,6,12;journal,1,105;linkingpublicationresults,1:104801,1
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Gugat M., Leugering G., Sklyar G.:
Lp-optimal boundary control for the wave equation,
In: SIAM Journal on Control and Optimization 44 (2005), p. 49-74
ISSN: 0363-0129
DOI: 10.1137/S0363012903419212
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2004

Gugat M., Leugering G., Schmidt EJPG.:
Global controllability between steady supercritical flows in channel networks
In: Mathematical Methods in the Applied Sciences 27 (2004), p. 781-802
ISSN: 0170-4214
DOI: 10.1002/mma.471
URL: http://www3.interscience.wiley.com/cgi-bin/abstract/108561139/ABSTRACT?CRETRY=1&SRETRY=0
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2003

Gugat M.:
Boundary Controllability between Sub- and Supercritical Flow
In: SIAM Journal on Control and Optimization 42 (2003), p. 1056-1070
ISSN: 0363-0129
DOI: 10.1137/S0363012902409660
URL: http://www.siam.org/journals/sicon/sicon.htm
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Leugering G., Gugat M.:
Global boundary controllability of the de St. Venant equations between steady states
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 20 (2003), p. 1-11
ISSN: 0294-1449
DOI: 10.1016/S0294-1449(02)00004-5
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2002

Gugat M.:
Analytic Solutions of L-infinity optimal control problems for the wave equation
In: Journal of Optimization Theory and Applications 114 (2002), p. 397-421
ISSN: 0022-3239
DOI: 10.1023/A:1016091803139
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Gugat M., Leugering G.:
Regularization of L-∞ optimal control problems for distributed parameter systems
In: Computational Optimization and Applications 22 (2002), p. 151-192
ISSN: 0926-6003
DOI: 10.1023/A:1015472323967
URL: http://link.springer.com/article/10.1023/A:1015472323967
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Gugat M., Leugering G.:
Solutions of L-p-norm-minimal control problems for the wave equation
In: Computational and Applied Mathematics 21 (2002), p. 227-244
ISSN: 2238-3603
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2001

Gugat M.:
Controllability of a slowly rotating Timoshenko beam
In: Esaim-Control Optimisation and Calculus of Variations 6 (2001), p. 333-360
ISSN: 1292-8119
DOI: 10.1051/cocv:2001113
URL: http://www.esaim-cocv.org/articles/cocv/abs/2001/01/cocvVol6-13/cocvVol6-13.html
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Gugat M., Leugering G., Schittkowski K., Schmidt EJPG.:
Modelling, stabilization and control of flow in networks of open channels
In: Online Optimization of Large Scale Systems, Berlin: Springer, 2001, p. 251-270
ISBN: 3-540-42459-8
DOI: 10.1007/978-3-662-04331-8_16
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2000

Gugat M.:
A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems
In: Journal of Computational and Applied Mathematics 114 (2000), p. 103-119
ISSN: 0377-0427
DOI: 10.1016/S0377-0427(99)00291-5
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Gugat M.:
Error bounds for infinite systems of convex inequalities without Slater's condition
In: Mathematical Programming 88 (2000), p. 255-275
ISSN: 0025-5610
DOI: 10.1007/s101070050016
URL: http://www.springerlink.com/app/home/contribution.asp?wasp=f62clce4kc2rww8fa45u&referrer=parent&backto=issue,3,10;journal,31,44;linkingpublicationresults,id:103081,1
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1999

Gugat M.:
A parametric view on the Mangasarian-Fromovitz constraint qualification
In: Mathematical Programming 85 (1999), p. 643-653
ISSN: 0025-5610
DOI: 10.1007/s10107990058a
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Gugat M.:
Time-Parametric Control: Uniform Convergence of the optimal value functions of the discretized problems
In: Control and Cybernetics 28 (1999), p. 7-33
ISSN: 0324-8569
Open Access: http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-article-BAT2-0001-1769
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1998

Gugat M.:
Parametric Convex Optimization: One-Sided Derivatives of the Value Function in Singular Parameters
Colloquium Carolus Magnus (Aachen, March 19, 1995 - March 26, 1995)
In: Karl der Große und sein Nachwirken: 1200 Jahre Kultur und Wissenschaft in Europa. Band 2: Mathematisches Wissen, Turnhout: 1998
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Gugat M.:
Prox-Regularization Methods for Generalized Fractional Programming
In: Journal of Optimization Theory and Applications 99 (1998), p. 691-722
ISSN: 0022-3239
DOI: 10.1023/A:1021759318653
URL: http://link.springer.com/article/10.1023/A:1021759318653
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1997

Gugat M.:
Parametric Disjunctive Programming: One-Sided Differentiability of the Value Function
In: Journal of Optimization Theory and Applications 92 (1997), p. 285-310
ISSN: 0022-3239
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1996

Gugat M.:
A Fast Algorithm for a Class of Generalized Fractional Programs
In: Management Science 42 (1996), p. 1493-1499
ISSN: 0025-1909
DOI: 10.1287/mnsc.42.10.1493
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Gugat M.:
An Algorithm for Chebyshev Approximation by Rationals with Constrained Denominators
In: Constructive Approximation 12 (1996), p. 197-221
ISSN: 0176-4276
DOI: 10.1007/s003659900010
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Gugat M.:
The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators
In: Numerical Algorithms 13 (1996), p. 107-122
ISSN: 1017-1398
DOI: 10.1007/BF02143129
URL: http://link.springer.com/article/10.1007/BF02143129
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