Martin Gugat
apl. Prof. Martin Gugat, Akad. Dir.
Department of Data Science (DDS)
Chair in Dynamics, Control and Numerics (Alexander von Humboldt-Professorship)
Cauerstr. 11
91058 Erlangen
- Phone number: +49 9131 85-67132
- Fax number: +49 9131 85-67134
- Email: martin.gugat@fau.de
- Website: https://www.datascience.nat.fau.eu/research/researchers/martin-gugat/
Übung (UE)
Publikationen
2022
- , :
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 - , :
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
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 - , :
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 - , , :
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 - , , :
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 - , , , :
Probabilistic constrained optimization on flow networks
In: Optimization and Engineering (2021)
ISSN: 1389-4420
DOI: 10.1007/s11081-021-09619-x - , , :
The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking Terms
In: Grigory Sklyar, Alexander Zuyev (ed.): Stabilization of Distributed Parameter Systems: Design Methods and Applications, Springer Science and Business Media Deutschland GmbH, 2021, p. 17-41 (SEMA SIMAI Springer Series, Vol.2)
ISBN: 978-3-030-61742-4
DOI: 10.1007/978-3-030-61742-4_2 - , :
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 - , , :
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
2020
- , , , , , , , , , , :
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
(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 - , , :
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 - , :
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 - , , :
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 - , , :
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
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 - :
Exact controllability of a string to rest with a moving boundary
In: Control and Cybernetics 48 (2019), p. 69-87
ISSN: 0324-8569 - , :
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 - , :
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
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 - , , , , , :
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
(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 - , :
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 - , :
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/ - , :
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 - , :
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
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 - , , :
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 - , :
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 - , , :
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
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/ - , , :
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 - , , :
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 - , :
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
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 - :
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 - , , , :
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 - , , , :
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 - , :
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 - , :
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
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 - :
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
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 - , , :
Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay
25th IFIP TC 7 Conference, CSMO 2011 (Berlin, 12. September 2011 - 16. September 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
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 - :
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 - , , , :
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 - , :
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 - , , , :
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 - , , :
Feedback stabilization of quasilinear hyperbolic systems with varying delays
17th International Conference on Methods and Models in Automation and Robotics (MMAR) (Miedzyzdroje, Poland, 27. August 2012 - 30. August 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
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/ - , :
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 - , :
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 - , , , , :
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 - , :
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 - , , :
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 - , :
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 - , , :
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
2010
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Optimierung mit mehreren konkurrierenden Zielen
In: Das Wirtschaftsstudium (2010), p. 571-578
ISSN: 0340-3084 - :
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 - :
Stabilizing a Vibrating String by Time Delay
MMAR 2010 (Miedzyzdroje, 23. August 2010 - 26. August 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 - , , :
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
(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 - , :
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 - , , :
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 - , :
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 - , , :
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 - , , , , :
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 - , , , :
A highly efficient optimization scheme for remos-based distant-talking speech recognition
18th European Signal Processing Conference, EUSIPCO 2010 (Aalborg, 23. August 2010 - 27. August 2010)
DOI: 10.5281/zenodo.41948
2009
- :
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 - :
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 - , , :
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 - , :
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
2008
- :
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 - :
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 - , :
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
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 - :
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 - , , , :
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 - , :
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 - , , :
Robustness analysis for the boundary control of the string equation
9th European Control Conference (Kos, 2. July 2007 - 5. July 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 - , , , , :
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
(anderer)
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, 20. September 2004 - 24. September 2004)
In: Alberto Seeger (ed.): Recent Advances in Optimization, Berlin: 2006
DOI: 10.1007/3-540-28258-0_10 - :
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
2005
- :
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) - :
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 - , , , :
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 - , , :
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
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
2003
- :
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 - , :
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
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 - , :
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 - , :
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
2001
- :
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 - , , , :
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
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 - :
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
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 - :
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
1998
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Parametric Convex Optimization: One-Sided Derivatives of the Value Function in Singular Parameters
Colloquium Carolus Magnus (Aachen, 19. March 1995 - 26. March 1995)
In: Karl der Große und sein Nachwirken: 1200 Jahre Kultur und Wissenschaft in Europa. Band 2: Mathematisches Wissen, Turnhout: 1998 - :
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
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
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 - :
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 - :
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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