@techreport{GugatLeugeringMartinetal.2018, author = {Gugat, Martin and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Sirvent, Mathias and Wintergerst, David}, title = {Towards Simulation Based Mixed-Integer Optimization with Differential Equations}, series = {Networks}, journal = {Networks}, doi = {10.1002/net.21812}, url = {https://opus4.kobv.de/opus4-trr154/63}, pages = {24}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugeringMartinetal.2017, author = {Gugat, Martin and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Sirvent, Mathias and Wintergerst, David}, title = {MIP-Based Instantaneous Control of Mixed-Integer PDE-Constrained Gas Transport Problems}, series = {Computational Optimization and Applications}, volume = {70}, journal = {Computational Optimization and Applications}, number = {1}, doi = {10.1007/s10589-017-9970-1}, url = {https://opus4.kobv.de/opus4-trr154/140}, pages = {267 -- 294}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLazar2023, author = {Gugat, Martin and Lazar, Martin}, title = {Turnpike Properties for Partially Uncontrollable Systems}, volume = {Automatica}, number = {149}, url = {https://opus4.kobv.de/opus4-trr154/511}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatKrugMartin2021, author = {Gugat, Martin and Krug, Richard and Martin, Alexander}, title = {Transient gas pipeline flow: Analytical examples, numerical simulation and a comparison to the quasi-static approach}, doi = {10.1007/s11081-021-09690-4}, url = {https://opus4.kobv.de/opus4-trr154/419}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatUlbrich2017, author = {Gugat, Martin and Ulbrich, Stefan}, title = {On Lipschitz Solutions of Initial Boundary Value Problems for Balance Laws}, series = {Mathematical Models and Methods in Applied Sciences}, journal = {Mathematical Models and Methods in Applied Sciences}, url = {https://opus4.kobv.de/opus4-trr154/144}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugeringWang2017, author = {Gugat, Martin and Leugering, G{\"u}nter and Wang, Ke}, title = {Neumann boundary feedback stabilization for a nonlinear wave equation: A strict H2-Lyapunov function}, series = {Mathematical Control and Related Fields (MCRF)}, volume = {7}, journal = {Mathematical Control and Related Fields (MCRF)}, number = {3}, editor = {Zhang, Xu}, doi = {10.3934/mcrf.2017015}, url = {https://opus4.kobv.de/opus4-trr154/179}, pages = {419 -- 448}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{MartinHertyMueller2017, author = {Martin, Gugat and Herty, Michael and M{\"u}ller, Siegfried}, title = {Coupling conditions for the transition from supersonic to subsonic fluid states}, series = {Networks and Heterogeneous Media (NHM)}, volume = {12}, journal = {Networks and Heterogeneous Media (NHM)}, number = {3}, editor = {Piccoli, Benedetto}, doi = {10.3934/nhm.2017016}, url = {https://opus4.kobv.de/opus4-trr154/187}, pages = {371 -- 380}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatKeimerLeugeringetal.2015, author = {Gugat, Martin and Keimer, Alexander and Leugering, G{\"u}nter and Wang, Zhiqiang}, title = {Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks}, series = { Networks and Heterogeneous Media}, volume = {10}, journal = { Networks and Heterogeneous Media}, number = {4}, editor = {Piccoli, Benedetto}, doi = {DOI: 10.3934/nhm.2015.10.749}, url = {https://opus4.kobv.de/opus4-trr154/93}, pages = {749 -- 785}, year = {2015}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugering2015, author = {Gugat, Martin and Leugering, G{\"u}nter}, title = {Time delay in optimal control loops for wave equations}, series = {ESAIM: COCV}, journal = {ESAIM: COCV}, editor = {Zuazua, Enrique}, doi = {http://dx.doi.org/10.1051/cocv/2015038}, url = {https://opus4.kobv.de/opus4-trr154/95}, year = {2015}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatWintergerstSchultz2016, author = {Gugat, Martin and Wintergerst, David and Schultz, R{\"u}diger}, title = {Networks of pipelines for gas with nonconstant compressibility factor: stationary states}, series = {Computational and Applied Mathematics}, journal = {Computational and Applied Mathematics}, editor = {Iske, Armin}, doi = {10.1007/s40314-016-0383-z}, url = {https://opus4.kobv.de/opus4-trr154/96}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatSchultz2017, author = {Gugat, Martin and Schultz, R{\"u}diger}, title = {Boundary feedback stabilization of the isothermal Euler-equations with uncertain boundary data}, url = {https://opus4.kobv.de/opus4-trr154/170}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{GugatHertyYu2017, author = {Gugat, Martin and Herty, Michael and Yu, Hui}, title = {On the relaxation approximation for 2 × 2 hyperbolic balance laws}, volume = {x}, number = {x}, editor = {Westdickenberg, Michael}, publisher = {Springer}, address = {Springer Proceedings in Mathematics and Statistics}, url = {https://opus4.kobv.de/opus4-trr154/172}, pages = {x -- x}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatUlbrich2017, author = {Gugat, Martin and Ulbrich, Stefan}, title = {The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up}, series = {Journal of Mathematical Analysis and Applications}, volume = {454}, journal = {Journal of Mathematical Analysis and Applications}, number = {1}, editor = {CHEN, GOONG}, doi = {10.1016/j.jmaa.2017.04.064}, url = {https://opus4.kobv.de/opus4-trr154/177}, pages = {439 -- 452}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatZuazua2016, author = {Gugat, Martin and Zuazua, Enrique}, title = {Exact penalization of terminal constraints for optimal control problems}, series = {OPTIMAL CONTROL APPLICATIONS AND METHODS}, volume = {37}, journal = {OPTIMAL CONTROL APPLICATIONS AND METHODS}, number = {6}, editor = {Grimble, Mike J.}, doi = {10.1002/oca.2238}, url = {https://opus4.kobv.de/opus4-trr154/115}, pages = {1329 -- 1354}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatHante2017, author = {Gugat, Martin and Hante, Falk}, title = {Lipschitz Continuity of the Value Function in Mixed-Integer Optimal Control Problems}, series = {Mathematics of Control, Signals, and Systems}, volume = {29}, journal = {Mathematics of Control, Signals, and Systems}, number = {1}, doi = {10.1007/s00498-016-0183-4}, url = {https://opus4.kobv.de/opus4-trr154/125}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatPerrollazRosier2017, author = {Gugat, Martin and Perrollaz, Vincent and Rosier, Lionel}, title = {Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms}, url = {https://opus4.kobv.de/opus4-trr154/193}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2016, author = {Gugat, Martin}, title = {Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State}, series = {Mathematical Problems in Engineering}, volume = {2016}, journal = {Mathematical Problems in Engineering}, number = {2016}, editor = {Khalique, Chaudry}, doi = {doi:10.1155/2016/2743251 Creative Commons Attribution License}, url = {https://opus4.kobv.de/opus4-trr154/86}, pages = {1 -- 11}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2015, author = {Gugat, Martin}, title = {Exponential Stabilization of the Wave Equation by Dirichlet Integral Feedback}, series = {SIAM Journal on Control and Optimization (SICON)}, volume = {53}, journal = {SIAM Journal on Control and Optimization (SICON)}, number = {1}, editor = {Bloch, Anthony M.}, doi = {DOI: 10.1137/140977023}, url = {https://opus4.kobv.de/opus4-trr154/87}, pages = {526 -- 546}, year = {2015}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatTrelatZuazua2015, author = {Gugat, Martin and Trelat, Emmanuel and Zuazua, Enrique}, title = {Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property}, series = {Systems \& Control Letters}, volume = {90}, journal = {Systems \& Control Letters}, editor = {Sepulchre, Rodolphe}, doi = {10.1016/j.sysconle.2016.02.001}, url = {https://opus4.kobv.de/opus4-trr154/113}, pages = {61 -- 70}, year = {2015}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{WintergerstGugat, author = {Wintergerst, David and Gugat, Martin}, title = {Finite Time Blow-up of Traveling Wave Solutions for the Flow of Real Gas through Pipeline Networks}, url = {https://opus4.kobv.de/opus4-trr154/44}, pages = {12}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugeringHante2015, author = {Gugat, Martin and Leugering, G{\"u}nter and Hante, Falk}, title = {Stationary States in Gas Networks}, series = {Networks and Heterogeneous Media}, volume = {10}, journal = {Networks and Heterogeneous Media}, number = {2}, editor = {Piccoli, Benedetto}, doi = {doi:10.3934/nhm.2015.10.295}, url = {https://opus4.kobv.de/opus4-trr154/73}, pages = {295 -- 320}, year = {2015}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatQianSokolowski2023, author = {Gugat, Martin and Qian, Meizhi and Sokolowski, Jan}, title = {Topological derivative method for control of wave equation on networks}, url = {https://opus4.kobv.de/opus4-trr154/521}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatSchusterSteffensen2022, author = {Gugat, Martin and Schuster, Michael and Steffensen, Sonja}, title = {A Dynamic Multilevel Model of the European Gas Market}, number = {Volume 2023}, publisher = {Communications in Optimization Theory}, url = {https://opus4.kobv.de/opus4-trr154/493}, pages = {1 -- 26}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatGiesselmann2023, author = {Gugat, Martin and Giesselmann, Jan}, title = {An Observer for pipeline flow with hydrogen blending in gas networks: exponential synchronization}, url = {https://opus4.kobv.de/opus4-trr154/537}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatHenrionHeitsch2021, author = {Gugat, Martin and Henrion, Ren{\´e} and Heitsch, Holger}, title = {A turnpike property for optimal control problems with dynamic probabilistic constraints}, series = {Journal of Convex Analysis}, volume = {30}, journal = {Journal of Convex Analysis}, number = {3}, publisher = {Heldermann Verlag 2023}, url = {https://opus4.kobv.de/opus4-trr154/452}, pages = {1025 -- 1052}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatWeiland2021, author = {Gugat, Martin and Weiland, Sven}, title = {Nodal Stabilization of the Flow in a Network with a Cycle}, series = {Journal of Optimization, Differential Equations and their Applications}, volume = {29}, journal = {Journal of Optimization, Differential Equations and their Applications}, number = {2}, url = {https://opus4.kobv.de/opus4-trr154/479}, pages = {1 -- 24}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GiesselmannGugatKunkel2023, author = {Giesselmann, Jan and Gugat, Martin and Kunkel, Teresa}, title = {Observer-based data assimilation for barotropic gas transport using distributed measurements}, volume = {22}, publisher = {Communications in Mathematical Sciences}, doi = {10.4310/CMS.240918203214}, url = {https://opus4.kobv.de/opus4-trr154/508}, pages = {2271 -- 2309}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{GugatSchuster2022, author = {Gugat, Martin and Schuster, Michael}, title = {Max-p optimal boundary control of gas flow}, volume = {Extended Abstracts of the 25th International Symposium on Mathematical Theory of Networks and Systems Bayreuth, Germany, 12-16 September 2022}, doi = {https://doi.org/10.15495/EPub_UBT_00006809}, url = {https://opus4.kobv.de/opus4-trr154/510}, pages = {4}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatHabermannHintermuelleretal.2021, author = {Gugat, Martin and Habermann, Jens and Hinterm{\"u}ller, Michael and Huber, Olivier}, title = {Constrained exact boundary controllability of a semilinear model for pipeline gas flow}, url = {https://opus4.kobv.de/opus4-trr154/388}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{MartinGiesselmannKunkel2021, author = {Martin, Gugat and Giesselmann, Jan and Kunkel, Teresa}, title = {Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks}, address = {IMA Journal of Mathematical Control and Information}, doi = {10.1093/imamci/dnab029}, url = {https://opus4.kobv.de/opus4-trr154/384}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatHanteJin2020, author = {Gugat, Martin and Hante, Falk and Jin, Li}, title = {Closed loop control of gas flow in a pipe: Stability for a transient model}, series = {at - Automatisierungstechnik}, journal = {at - Automatisierungstechnik}, url = {https://opus4.kobv.de/opus4-trr154/318}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatHerty2020, author = {Gugat, Martin and Herty, Michael}, title = {Modeling, Control and Numerics of Gas Networks}, url = {https://opus4.kobv.de/opus4-trr154/339}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{SchusterStrauchGugatetal.2020, author = {Schuster, Michael and Strauch, Elisa and Gugat, Martin and Lang, Jens}, title = {Probabilistic Constrained Optimization on Flow Networks}, volume = {Optimization and Engineering}, doi = {https://doi.org/10.1007/s11081-021-09619-x}, url = {https://opus4.kobv.de/opus4-trr154/325}, pages = {50}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatSchusterZuazua2020, author = {Gugat, Martin and Schuster, Michael and Zuazua, Enrique}, title = {M. Gugat, M. Schuster, E. Zuazua. The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-Smooth Tracking Terms, in "Stabilization of Distributed Parameter Systems: Design Methods and Applications". Grigory Sklyar Alexander Zuyev Eds., ICIAM 2019 SEMA SIMAI Springer Series 2, p. 17-42. ISSN 2199-3041}, volume = {SEMA SIMAI Springer Series 2}, edition = {Grigory Sklyar Alexander Zuyev Eds., ICIAM 2019}, publisher = {Springer International Publishing}, url = {https://opus4.kobv.de/opus4-trr154/329}, pages = {17 -- 42}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatGiesselmann2020, author = {Gugat, Martin and Giesselmann, Jan}, title = {Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks}, address = {ESAIM:COCV}, doi = {10.1051/cocv/2021061}, url = {https://opus4.kobv.de/opus4-trr154/330}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatHerty2020, author = {Gugat, Martin and Herty, Michael}, title = {Limits of stabilizabilizy for a semilinear model for gas pipeline flow}, url = {https://opus4.kobv.de/opus4-trr154/338}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatSokolowski, author = {Gugat, Martin and Sokolowski, Jan}, title = {On Problems of Dynamic Optimal Nodal control for Gas Networks}, url = {https://opus4.kobv.de/opus4-trr154/365}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2021, author = {Gugat, Martin}, title = {On the turnpike property with interior decay for optimal control problems}, series = {Mathematics of Control, Signals, and Systems}, journal = {Mathematics of Control, Signals, and Systems}, doi = {https://doi.org/10.1007/s00498-021-00280-4}, url = {https://opus4.kobv.de/opus4-trr154/366}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Gugat2021, author = {Gugat, Martin}, title = {Optimal boundary control of the wave equation: The finite-time turnpike phenomenon}, url = {https://opus4.kobv.de/opus4-trr154/423}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatHante2019, author = {Gugat, Martin and Hante, Falk}, title = {On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems}, series = {SIAM Journal on Control and Optimization}, volume = {57}, journal = {SIAM Journal on Control and Optimization}, number = {1}, doi = {10.1137/17M1134470}, url = {https://opus4.kobv.de/opus4-trr154/250}, pages = {264 -- 289}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{FarshbafShakerGugatHeitschetal., author = {Farshbaf Shaker, Mohammad Hassan and Gugat, Martin and Heitsch, Holger and Henrion, Ren{\´e}}, title = {Optimal Neumann boundary control of a vibrating string with uncertain initial data and probabilistic terminal constraints}, doi = {10.1137/19M1269944}, url = {https://opus4.kobv.de/opus4-trr154/282}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{AdelhuetteAssmannGonzalezGrandonetal.2017, author = {Adelh{\"u}tte, Dennis and Aßmann, Denis and Gonz{\`a}lez Grand{\`o}n, Tatiana and Gugat, Martin and Heitsch, Holger and Liers, Frauke and Henrion, Ren{\´e} and Nitsche, Sabrina and Schultz, R{\"u}diger and Stingl, Michael and Wintergerst, David}, title = {Joint model of probabilistic/robust (probust) constraints applied to gas network optimization}, doi = {10.1007/s10013-020-00434-y}, url = {https://opus4.kobv.de/opus4-trr154/215}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatSchultzSchuster2019, author = {Gugat, Martin and Schultz, R{\"u}diger and Schuster, Michael}, title = {Convexity and Starshapedness of Feasible Sets in Stationary Flow Networks}, series = {Networks and Heterogeneous Media}, journal = {Networks and Heterogeneous Media}, doi = {10.3934/nhm.2020008}, url = {https://opus4.kobv.de/opus4-trr154/267}, pages = {171 -- 195}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatSchuster2018, author = {Gugat, Martin and Schuster, Michael}, title = {Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints}, series = {Mathematical Problems in Engineering}, journal = {Mathematical Problems in Engineering}, editor = {Weber, Gerhard-Wilhelm}, doi = {https://doi.org/10.1155/2018/7984079}, url = {https://opus4.kobv.de/opus4-trr154/268}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatSteffensen2018, author = {Gugat, Martin and Steffensen, Sonja}, title = {DYNAMIC BOUNDARY CONTROL GAMES WITH NETWORKS OF STRINGS}, series = {ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV)}, journal = {ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV)}, editor = {Trelat, Emmanuel}, doi = {10.1051/cocv/2017082}, url = {https://opus4.kobv.de/opus4-trr154/229}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatRosierPerrollaz2018, author = {Gugat, Martin and Rosier, Lionel and Perrollaz, Vincent}, title = {Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms}, series = {Journal of Evolution Equations}, journal = {Journal of Evolution Equations}, editor = {Arendt, W. and Pierre, M.}, doi = {10.1007/s00028-018-0449-z}, url = {https://opus4.kobv.de/opus4-trr154/236}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatSchusterSokolowski2024, author = {Gugat, Martin and Schuster, Michael and Sokolowski, Jan}, title = {Location Problem for Compressor Stations in Pipeline Networks}, url = {https://opus4.kobv.de/opus4-trr154/556}, pages = {34}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatQianSokolowski2024, author = {Gugat, Martin and Qian, Meizhi and Sokolowski, Jan}, title = {Network Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation}, volume = {J. Geom. Anal.}, number = {34}, url = {https://opus4.kobv.de/opus4-trr154/559}, pages = {60}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{SchusterGugatSokolowski2024, author = {Schuster, Michael and Gugat, Martin and Sokolowski, Jan}, title = {The Location Problem for Compressor Stations in Pipeline Networks}, series = {Mathematics and Mechanics of Complex Systems}, volume = {12}, journal = {Mathematics and Mechanics of Complex Systems}, number = {4}, doi = {10.2140}, url = {https://opus4.kobv.de/opus4-trr154/567}, pages = {507 -- 546}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2025, author = {Gugat, Martin}, title = {New Lyapunov functions for systems with source terms}, series = {Control and Cybernetics}, volume = {53}, journal = {Control and Cybernetics}, number = {1}, doi = {https://doi.org/10.2478/candc-2024-0008}, url = {https://opus4.kobv.de/opus4-trr154/572}, pages = {163 -- 187}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} }