Prof. Dr. Martin Gugat
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Publikationen
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Synchronization of velocities in pipeline flow of blended gas
In: Journal of Mathematical Analysis and Applications 556 (2026), Art.Nr.: 130078
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2025.130078
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Boundary stabilization of quasi-linear hyperbolic systems with varying time delay
In: SIAM Journal on Control and Optimization 63 (2025), S. 452--471
ISSN: 0363-0129
DOI: 10.1137/24M1648570
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Stabilization of a cyclic network of strings by nodal control
In: Journal of Evolution Equations 25 (2025), Art.Nr.: 4
ISSN: 1424-3199
DOI: 10.1007/s00028-024-01030-0
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New Lyapunov functions for systems with source terms
In: Control and Cybernetics 53 (2024), S. 163-187
ISSN: 0324-8569
DOI: 10.2478/candc-2024-008
URL: https://sciendo.com/de/article/10.2478/candc-2024-0008
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The Finite-Time Turnpike Property in Machine Learning
In: MDPI Machines 12 (2024), Art.Nr.: 705
ISSN: 2075-1702
DOI: 10.3390/machines12100705
URL: https://www.mdpi.com/2075-1702/12/10/705
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An Observer for Pipeline Flow with Hydrogen Blending in Gas Networks: Exponential Synchronization
In: SIAM Journal on Control and Optimization 62 (2024), S. 2273-2296
ISSN: 0363-0129
DOI: 10.1137/23M1563840
URL: https://epubs.siam.org/doi/10.1137/23M1563840
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Observer-based data assimilation for barotropic gas transport using distributed measurements
In: Communications in Mathematical Sciences 22 (2024), S. 2271-2309
ISSN: 1539-6746
DOI: 10.4310/CMS.240918203214
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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 (Hrsg.): Hyperbolic Problems: Theory, Numerics, Applications. Volume II, Cham, Switzerland: Springer Nature, 2024, S. 359-369 (SEMA SIMAI Springer Series, Bd.Volume 35)
DOI: 10.1007/978-3-031-55264-9_31
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The turnpike property for mean-field optimal control problems
In: European Journal of Applied Mathematics (2024), S. 1-15
ISSN: 0956-7925
DOI: 10.1017/S0956792524000044
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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
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The location problem for compressor stations in pipeline networks
In: Mathematics and Mechanics of Complex Systems 12 (2024), S. 507–546
ISSN: 2326-7186
DOI: 10.2140/memocs.2024.12.507
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Network Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation
In: Journal of Geometric Analysis 34 (2024), Art.Nr.: 273
ISSN: 1050-6926
DOI: 10.1007/s12220-024-01712-8
URL: https://link.springer.com/article/10.1007/s12220-024-01712-8
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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
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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
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Constrained exact boundary controllability of a semilinear model for pipeline gas flow
In: European Journal of Applied Mathematics (2023), S. 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
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A Turnpike Property for Optimal Control Problems with Dynamic Probabilistic Constraints
In: Journal of Convex Analysis 30 (2023), S. 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), Art.Nr.: 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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Limits of stabilization of a networked hyperbolic system with a circle
In: Control and Cybernetics 52 (2023), S. 79-121
ISSN: 0324-8569
DOI: 10.2478/candc-2023-0033
URL: http://control.ibspan.waw.pl:3000/contents/list?year=2023
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Optimal Control Problems without Terminal Constraints: The Turnpike Property with Interior Decay
In: International Journal of Applied Mathematics and Computer Science 33 (2023), S. 429–438
ISSN: 1641-876X
DOI: 10.34768/amcs-2023-0031
URL: https://www.amcs.uz.zgora.pl/?action=paper&paper=1715
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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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Topological derivative method for control of wave equation on networks
27th International Conference on Methods and Models in Automation and Robotics (MMAR) (Międzyzdroje, 22.08.2023 - 25.08.2023)
In: IEEE Xplore (Hrsg.): 2023 27th International Conference on Methods and Models in Automation and Robotics 2023
DOI: 10.1109/MMAR58394.2023.10242484
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A Dynamic Multilevel Model of the European Gas Market
In: Communications in Optimization Theory 11 (2023), S. 1-26
ISSN: 2051-2953
DOI: 10.23952/cot.2023.11
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An aspect of the turnpike property. Long time horizon behavior
In: Serdica Mathematical Journal 49 (2023), S. 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
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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), S. 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 (Hrsg.): Optimization and Control for Partial Differential Equations, De Gruyter, 2022, S. 59-71 (Radon Series on Computational and Applied Mathematics, Bd.29)
ISBN: 9783110695984
DOI: 10.1515/9783110695984-003
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Modeling, control, and numerics of gas networks
In: E. Trelat, E. Zuazua (Hrsg.): 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), S. 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), S. 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, 12.11.2022 - 13.11.2022)
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, 12.09.2022 - 16.09.2022)
In: Baumann, Michael Heinrich; Grüne, Lars; Jacob, Birgit; Worthmann, Karl (Hrsg.): 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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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), Art.Nr.: 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 (Hrsg.): 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, S. 17-41 (SEMA SIMAI Springer SeriesICIAM 2019 SEMA SIMAI Springer Series, Bd.2)
DOI: 10.1007/978-3-030-61742-4
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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), S. 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), S. 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 (Hrsg.): Mathematical Modelling, Optimization, Analytic and Numerical Solutions, Singapore: Springer Nature, 2020, S. 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), S. 171-195
ISSN: 1556-1801
DOI: 10.3934/nhm.2020008
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A turnpike result for convex hyperbolic optimal boundary control problems
In: Pure and Applied Functional Analysis 4 (2019), S. 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), S. 69-87
ISSN: 0324-8569
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On the limits of stabilizability for networks of strings
In: Systems & Control Letters 131 (2019), Art.Nr.: 104494
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2019.104494
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ON THE TURNPIKE PHENOMENON FOR OPTIMAL BOUNDARY CONTROL PROBLEMS WITH HYPERBOLIC SYSTEMS
In: SIAM Journal on Control and Optimization 57 (2019), S. 264-289
ISSN: 0363-0129
DOI: 10.1137/17M1134470
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MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems
In: Computational Optimization and Applications 70 (2018), S. 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), S. 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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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), S. 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), Art.Nr.: 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), S. 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), S. 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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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), S. 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), S. 439–452
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2017.04.064
URL: http://www.sciencedirect.com/science/article/pii/S0022247X17304274
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NEUMANN BOUNDARY FEEDBACK STABILIZATION FOR A NONLINEAR WAVE EQUATION: A STRICT H-2-LYAPUNOV FUNCTION
In: Mathematical Control and Related Fields 7 (2017), S. 419-448
ISSN: 2156-8472
DOI: 10.3934/mcrf.2017015
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Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State
In: Mathematical Problems in Engineering 2016 (2016), S. 11
ISSN: 1024-123X
DOI: 10.1155/2016/2743251
URL: http://www.hindawi.com/journals/mpe/2016/2743251/
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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), S. 61-70
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2016.02.001
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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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EXPONENTIAL STABILIZATION OF THE WAVE EQUATION BY DIRICHLET INTEGRAL FEEDBACK
In: SIAM Journal on Control and Optimization 53 (2015), S. 526-546
ISSN: 0363-0129
DOI: 10.1137/140977023
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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), S. 295-320
ISSN: 1556-1801
DOI: 10.3934/nhm.2015.10.295
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ANALYSIS OF A SYSTEM OF NONLOCAL CONSERVATION LAWS FOR MULTI-COMMODITY FLOW ON NETWORKS
In: Networks and Heterogeneous Media 10 (2015), S. 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), S. 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), Art.Nr.: 038
ISSN: 1262-3377
DOI: 10.1051/cocv/2015038
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Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term
In: Systems & Control Letters 66 (2014), S. 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
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Norm-minimal Neumann boundary control of the wave equation
In: Arabian Journal of Mathematics 4 (2014), S. 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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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
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Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay
25th IFIP TC 7 Conference, CSMO 2011 (Berlin, 12.09.2011 - 16.09.2011)
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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Closed Form Representations of Some Series in Darlings Model for Squeeze Film Damping with a Rectangular Plate
In: Applied Sciences 2 (2012), S. 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), S. 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), S. 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), S. 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), S. 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, 27.08.2012 - 30.08.2012)
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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Optimal boundary control of the wave equation with pointwise control constraints
In: Computational Optimization and Applications 49 (2011), S. 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), S. 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), S. 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, S. 123-146 (ISNM, Bd.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), S. 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), S. 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), S. 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), S. 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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Optimierung mit mehreren konkurrierenden Zielen
In: Das Wirtschaftsstudium (2010), S. 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), S. 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, 23.08.2010 - 26.08.2010)
In: IEEE (Hrsg.): 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 (Hrsg.): 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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Approximation of Semigroups and Related Operator Functions by Resolvent Series
In: SIAM Journal on Numerical Analysis 48 (2010), S. 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), S. 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), S. 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), S. 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), S. 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), S. 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, 23.08.2010 - 27.08.2010)
DOI: 10.5281/zenodo.41948
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Lavrentiev-prox-regularization for optimal control of PDEs with state constraints
In: Computational and Applied Mathematics 28 (2009), S. 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), S. 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), S. 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), S. 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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Optimal boundary feedback stabilization of a string with moving boundary
In: IMA Journal of Mathematical Control and Information 25 (2008), S. 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), S. 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), S. 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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Optimal Boundary Control in Flood Management
In: Karl-Heinz Hoffmann, Günter Leugering, Michael Hintermüller (Hrsg.): International Series of Numerical Mathematics, Basel: Birkhäuser, 2007, S. 69-94 (Control of Coupled Partial Differential Equations, Bd.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), S. 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), S. 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), S. 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, 02.07.2007 - 05.07.2007)
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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L1-Optimal boundary control of a string to rest in finite time
Twelfth French-German-Spanish Conference on Optimization (Avignon, 20.09.2004 - 24.09.2004)
In: Alberto Seeger (Hrsg.): 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), S. 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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Nodal Control of Conservation Laws on Networks
In: John Cagnol and Jean-Paul Zolesio (Hrsg.): Control and Boundary Analysis, Boca Raton: Chapman & Hall/CRC Press, 2005, S. 201-214 (Pure and Applied Mathematics, Bd.240)
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Optimal Control of Networked Hyperbolic Systems: Evaluation of Derivatives
In: Advanced Modeling and Optimization 7 (2005), S. 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), S. 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), S. 49-74
ISSN: 0363-0129
DOI: 10.1137/S0363012903419212
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Global controllability between steady supercritical flows in channel networks
In: Mathematical Methods in the Applied Sciences 27 (2004), S. 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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Boundary Controllability between Sub- and Supercritical Flow
In: SIAM Journal on Control and Optimization 42 (2003), S. 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), S. 1-11
ISSN: 0294-1449
DOI: 10.1016/S0294-1449(02)00004-5
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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), S. 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), S. 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), S. 227-244
ISSN: 2238-3603
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Controllability of a slowly rotating Timoshenko beam
In: Esaim-Control Optimisation and Calculus of Variations 6 (2001), S. 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, S. 251-270
ISBN: 3-540-42459-8
DOI: 10.1007/978-3-662-04331-8_16
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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), S. 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), S. 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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A parametric view on the Mangasarian-Fromovitz constraint qualification
In: Mathematical Programming 85 (1999), S. 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), S. 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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Parametric Convex Optimization: One-Sided Derivatives of the Value Function in Singular Parameters
Colloquium Carolus Magnus (Aachen, 19.03.1995 - 26.03.1995)
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), S. 691-722
ISSN: 0022-3239
DOI: 10.1023/A:1021759318653
URL: http://link.springer.com/article/10.1023/A:1021759318653
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Parametric Disjunctive Programming: One-Sided Differentiability of the Value Function
In: Journal of Optimization Theory and Applications 92 (1997), S. 285-310
ISSN: 0022-3239
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A Fast Algorithm for a Class of Generalized Fractional Programs
In: Management Science 42 (1996), S. 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), S. 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), S. 107-122
ISSN: 1017-1398
DOI: 10.1007/BF02143129
URL: http://link.springer.com/article/10.1007/BF02143129
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