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
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
Scopus
PublonsI got my Bachelor and Doctor degrees 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).
I worked at Technische Universität Darmstadt (2000-2003) and from 2013 to present I am Academic Director at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg, Bavaria – Germany.
As Akad. Dir. at the Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg my research interest 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
• 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
PhD defenses
• June 20th, 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.
• October 20th, 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 did as referee joint Marius Tucsnak, Ludovick Gagnon, Yann Legorreck, M. Takéo Takahashi, Franck Sueur, Hans Zwart.
• January 22nd, 2021 | PhD Examining Committee. On January 22nd, 2021 I did 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 Erlangen.
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 posters
Nodal control and the Turnpike phenomenon
• Martin Gugat, Friedrich-Alexander-Universität Erlangen–Nürnberg • Rüdiger Schultz, Universität Duisburg-Essen • Michael Schuster, Friedrich-Alexander-Universität Erlangen–Nürnberg Nodal control and the Turnpike ...
Observer-based Data Assimilation in Time-dependent Flows in Gas Networks
• Martin Gugat, Friedrich-Alexander-Universität Erlangen–Nürnberg • Jan Giesselmann, Technische Universität Darmstadt • Teresa Kunkel, Technische Universität Darmstadt • Sven Weiland, ...
My posts on Math & Research
pyGasControls library (simulation software)
Author: Martin Gugat, Enrique Zuazua, Aleksey Sikstel, FAU DCN-AvH Code: [HINT] To run the software on your computer, you ...
pyGasControls Framework
pyGasControls Framework By Martin Gugat, Enrique Zuazua, Aleksey Sikstel In order to optimize the operation of gas transportation networks, as ...
Gas networks uncertainty and Probust constraints: model, distribution and optimization
Gas networks uncertainty and Probust constraints: model, distribution and optimization By Martin Gugat Gas transport and distribution systems are usually ...
Convexity and Starshapedness of feasible sets in Stationary Flow Networks
Convexity and Starshapedness of feasible sets in Stationary Flow Networks By Martin Gugat, Michael Schuster This research was funded by ...
Publications
2023
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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
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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: 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 - , , :
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
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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
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Turnpike properties for partially uncontrollable systems
In: Automatica 149 (2023)
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2022.110844
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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 - , , :
Topological derivative method for control of wave equation on networks
In: IEEE Xplore (ed.): 2023 27th International Conference on Methods and Models in Automation and Robotics (MMAR) DOI: 10.1109/MMAR58394.2023 22-25 Aug. 2023, IEEE Xplore, 2023, p. 320-325 (International Conference on Methods and Models in Automation and Robotics (MMAR))
ISBN: 979-8-3503-1107-5
DOI: 10.1109/MMAR58394.2023.10242484
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2022
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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
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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
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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
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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
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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
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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
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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
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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
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2021
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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
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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
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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
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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
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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
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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
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2020
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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
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(Techreport) - , , , :
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
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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
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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
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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
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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
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2019
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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
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Exact controllability of a string to rest with a moving boundary
In: Control and Cybernetics 48 (2019), p. 69-87
ISSN: 0324-8569
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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 - , :
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
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2018
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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
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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
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(Techreport) - , , :
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
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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
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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/
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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
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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
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2017
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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
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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
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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 - , , :
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
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2016
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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 - , , :
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 - , , :
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
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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
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2015
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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
BibTeX: Download - :
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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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
BibTeX: Download - , , , :
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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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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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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2014
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Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term
In: Systems & Control Letters 66 (2014), p. 72-84
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2014.01.007
URL: http://ac.els-cdn.com/S0167691114000279/1-s2.0-S0167691114000279-main.pdf?_tid=631b42fa-9efc-11e3-83ef-00000aab0f26&acdnat=1393429438_c7a54e1446ab014020ff9d6d7536964a
BibTeX: Download - :
Norm-minimal Neumann boundary control of the wave equation
In: Arabian Journal of Mathematics 4 (2014), p. 41-58
ISSN: 2193-5343
DOI: 10.1007/s40065-014-0110-9
URL: http://link.springer.com/article/10.1007/s40065-014-0110-9
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2013
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Efficient Numerical Evaluation of Semianalytical Models for Squeeze Film Damping for Torsion Mirrors
In: Journal of Nanomechanics and Micromechanic 3 (2013)
ISSN: 2153-5434
DOI: 10.1061/(ASCE)NM.2153-5477.0000075
URL: http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29NM.2153-5477.0000075
BibTeX: Download - , , :
Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay
25th IFIP TC 7 Conference, CSMO 2011 (Berlin, September 12, 2011 - September 16, 2011)
In: System Modeling and Optimization, Berlin, Heidelberg: 2013
DOI: 10.1007/978-3-642-36062-6_26
URL: http://link.springer.com/chapter/10.1007/978-3-642-36062-6_26
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2012
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Closed Form Representations of Some Series in Darlings Model for Squeeze Film Damping with a Rectangular Plate
In: Applied Sciences 2 (2012), p. 479-484
ISSN: 2076-3417
DOI: 10.3390/app2020479
URL: http://www.mdpi.com/2076-3417/2/2/479
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Contamination Source Determination in Water Distribution Networks
In: SIAM Journal on Applied Mathematics 72 (2012), p. 1772-1791
ISSN: 0036-1399
DOI: 10.1137/110859269
URL: http://epubs.siam.org/doi/abs/10.1137/110859269
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H (2)-stabilization of the Isothermal Euler equations: a Lyapunov function approach
In: Chinese Annals of Mathematics Series B 33 (2012), p. 479-500
ISSN: 0252-9599
DOI: 10.1007/s11401-012-0727-y
URL: http://link.springer.com/article/10.1007/s11401-012-0727-y
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A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains
In: Applicable Analysis 92 (2012), p. 2200-2214
ISSN: 0003-6811
DOI: 10.1080/00036811.2012.724404
URL: http://www.tandfonline.com/doi/abs/10.1080/00036811.2012.724404
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On the relaxation approximation of boundary control of the isothermal Euler equations
In: International Journal of Control 85 (2012), p. 1766-1778
ISSN: 0020-7179
DOI: 10.1080/00207179.2012.703787
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Feedback stabilization of quasilinear hyperbolic systems with varying delays
17th International Conference on Methods and Models in Automation and Robotics (MMAR) (Miedzyzdroje, Poland, August 27, 2012 - August 30, 2012)
In: Methods and Models in Automation and Robotics (MMAR) 2012
DOI: 10.1109/MMAR.2012.6347931
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6347931&isnumber=6347808
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2011
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Optimal boundary control of the wave equation with pointwise control constraints
In: Computational Optimization and Applications 49 (2011), p. 123-147
ISSN: 0926-6003
DOI: 10.1007/s10589-009-9289-7
URL: http://springerlink.com/content/k6345j348j147564/
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A smoothed--penalty iteration for state constrained optimal control problems for partial differential equations
In: Optimization 62 (2011), p. 379-395
ISSN: 0233-1934
DOI: 10.1080/02331934.2011.588230
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Existence of classical solutions and feedback stabilization for the flow in gas networks
In: Esaim-Control Optimisation and Calculus of Variations 17 (2011), p. 28-51
ISSN: 1292-8119
DOI: 10.1051/cocv/2009035
URL: http://www.esaim-cocv.org/index.php?option=article&access=standard&Itemid=129&url=/articles/cocv/abs/first/cocv0926/cocv0926.html
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Well-posedness of networked hyperbolic systems of balance laws
In: Constrained Optimization and Optimal Control for Partial Differential Equations, Basel: Springer, 2011, p. 123-146 (ISNM, Vol.160)
ISBN: 978-3-0348-0133-1
DOI: 10.1007/978-3-0348-0133-1_7
URL: http://link.springer.com/chapter/10.1007/978-3-0348-0133-1_7
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Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction
In: Mathematical Control and Related Fields 1 (2011), p. 469-491
ISSN: 2156-8472
DOI: 10.3934/mcrf.2011.1.469
URL: http://aimsciences.org/journals/contentsListnew.jsp?pubID=483
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Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
In: SIAM Journal on Control and Optimization 49 (2011), p. 2101-2117
ISSN: 0363-0129
DOI: 10.1137/100799824
URL: http://epubs.siam.org/sicon/resource/1/sjcodc/v49/i5/p2101_s1
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An example for the switching delay feedback stabilization of an infinite dimensional system: The boundary stabilization of a string
In: Systems & Control Letters 60 (2011), p. 226-230
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2011.01.004
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A strict H1-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction
In: Numerical Algebra, Control and Optimization 1 (2011), p. 225-244
ISSN: 2155-3289
DOI: 10.3934/naco.2011.1.225
URL: http://www.aimsciences.org/journals/displayReferences.jsp?paperID=6330
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2010
- , :
Optimierung mit mehreren konkurrierenden Zielen
In: Das Wirtschaftsstudium (2010), p. 571-578
ISSN: 0340-3084
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Boundary feedback stabilization by time delay for one-dimensional wave equations
In: IMA Journal of Mathematical Control and Information 27 (2010), p. 189-203
ISSN: 0265-0754
DOI: 10.1093/imamci/dnq007
URL: http://imamci.oxfordjournals.org/cgi/content/abstract/dnq007?ijkey=gGdKiGMBG9950h8&keytype=ref
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Stabilizing a Vibrating String by Time Delay
MMAR 2010 (Miedzyzdroje, August 23, 2010 - August 26, 2010)
In: IEEE (ed.): 15th International Conference on Methods and Models in Automation and Robotics (MMAR), 2010 2010
DOI: 10.1109/MMAR.2010.5587248
URL: http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5587248&queryText%3DGugat%26openedRefinements%3D*%26searchField%3DSearch+All
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Optimal location of family homes for dual career couples
In: Karen Aardal, Sanjay Mehrotra, Stephen Wright (ed.): Optimization Online - an eprint site for the optimization community, 2010
Open Access: http://www.optimization-online.org/DB_FILE/2010/02/2547.pdf
URL: http://www.optimization-online.org/DB_HTML/2010/02/2547.html
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(online publication) - , :
Approximation of Semigroups and Related Operator Functions by Resolvent Series
In: SIAM Journal on Numerical Analysis 48 (2010), p. 1826-1845
ISSN: 0036-1429
DOI: 10.1137/090768084
URL: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000048000005001826000001&idtype=cvips&gifs=yes
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The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations
In: Optimization Methods & Software 25 (2010), p. 573-599
ISSN: 1055-6788
DOI: 10.1080/10556780903002750
URL: http://www.informaworld.com/smpp/content~db=all~content=a913030109?words=gugat
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Flow control in gas networks: Exact controllability to a given demand
In: Mathematical Methods in the Applied Sciences 34 (2010), p. 745-757
ISSN: 0170-4214
DOI: 10.1002/mma.1394
URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.1394/abstract
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Stars of vibrating strings: Switching boundary feedback stabilization
In: Networks and Heterogeneous Media 5 (2010), p. 299-314
ISSN: 1556-1801
DOI: 10.3934/nhm.2010.5.299
URL: http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5215
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Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
In: Networks and Heterogeneous Media 5 (2010), p. 691-709
ISSN: 1556-1801
DOI: 10.3934/nhm.2010.5.691
URL: http://aimsciences.org/journals/displayArticles.jsp?paperID=5645
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Intensity-based 3-D Reconstruction with Non-linear Optimization
In: ICGST International Journal on Graphics, Vision and Image Processing 10.0 (2010), p. 27-37
ISSN: 1687-398X
URL: http://www5.informatik.uni-erlangen.de/Forschung/Publikationen/2010/Hopfgartner10-IRW.pdf
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A highly efficient optimization scheme for remos-based distant-talking speech recognition
18th European Signal Processing Conference, EUSIPCO 2010 (Aalborg, August 23, 2010 - August 27, 2010)
DOI: 10.5281/zenodo.41948
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2009
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Lavrentiev-prox-regularization for optimal control of PDEs with state constraints
In: Computational and Applied Mathematics 28 (2009), p. 231-257
ISSN: 2238-3603
DOI: 10.1590/S1807-03022009000200006
URL: http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1807-03022009000200006&lng=en&nrm=iso&tlng=en
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Penalty Techniques for State Constrained Optimal Control Problems with the Wave Equation
In: SIAM Journal on Control and Optimization 48 (2009), p. 3026-3051
ISSN: 0363-0129
DOI: 10.1137/080725921
URL: http://epubs.siam.org/doi/abs/10.1137/080725921
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Optimal distributed control of the wave equation subject to state constraints
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 89 (2009), p. 420-444
ISSN: 0044-2267
DOI: 10.1002/zamm.200800196
URL: http://www3.interscience.wiley.com/journal/5007542/home
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Global boundary controllability of the Saint-Venant system for sloped canals with friction
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 26 (2009), p. 257-270
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2008.01.002
URL: http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6VKB-4RR8YX6-1&_user=616145&_coverDate=02%2F01%2F2008&_alid=714774454&_rdoc=1&_fmt=summary&_orig=search&_cdi=6118&_sort=d&_docanchor=&view=c&_ct=2&_acct=C000032322&_version=1&_urlVersion=0&_userid=616145&md5=31e90bfd85a87331d01e34c56914fa42
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2008
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Optimal boundary feedback stabilization of a string with moving boundary
In: IMA Journal of Mathematical Control and Information 25 (2008), p. 111-121
ISSN: 0265-0754
DOI: 10.1093/imamci/dnm014
URL: http://imamci.oxfordjournals.org/cgi/content/abstract/dnm014?ijkey=sCu0noGNy5dtzdd&keytype=ref
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Optimal switching boundary control of a string to rest in finite time
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 88 (2008), p. 283-305
ISSN: 0044-2267
DOI: 10.1002/zamm.200700154
URL: http://www3.interscience.wiley.com/cgi-bin/abstract/117946700/ABSTRACT
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L-infinity-norm minimal control of the wave equation: On the weakness of the bang-bang principle
In: Esaim-Control Optimisation and Calculus of Variations 14 (2008), p. 254-283
ISSN: 1262-3377
DOI: 10.1051/cocv:2007044
URL: http://www.esaim-cocv.org/articles/cocv/abs/2008/02/cocv0585/cocv0585.html
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2007
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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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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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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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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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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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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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2006
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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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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
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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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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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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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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
- , , :
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
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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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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
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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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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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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
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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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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
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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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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
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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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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
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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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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
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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
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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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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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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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