@unpublished{GoettlichSchusterUlke2026, author = {G{\"o}ttlich, Simone and Schuster, Michael and Ulke, Alena}, title = {On the Existence of Steady States for Blended Gas Flow with Non-Constant Compressibility Factor on Networks}, url = {https://opus4.kobv.de/opus4-trr154/619}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HeitschHenrion2025, author = {Heitsch, Holger and Henrion, Ren{\´e}}, title = {On the Lipschitz continuity of the spherical cap discrepancy around generic point sets}, series = {Unif. Distrib. Theory}, volume = {20}, journal = {Unif. Distrib. Theory}, number = {1}, doi = {10.2478/udt-2025-0011}, url = {https://opus4.kobv.de/opus4-trr154/618}, pages = {35 -- 63}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BernhardHeitschHenrionetal., author = {Bernhard, Daniela and Heitsch, Holger and Henrion, Ren{\´e} and Liers, Frauke and Stingl, Michael and Uihlein, Andrian and Zipf, Viktor}, title = {Continuous stochastic gradient and spherical radial decomposition}, url = {https://opus4.kobv.de/opus4-trr154/617}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Schuster2025, author = {Schuster, Michael}, title = {Control and Optimization under Uncertainty in the Context of Gas Network Operation}, url = {https://opus4.kobv.de/opus4-trr154/616}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2026, author = {Gugat, Martin}, title = {Synchronization of velocities in pipeline flow of blended gas}, series = {Journal of Mathematical Analysis and Applications}, volume = {556}, journal = {Journal of Mathematical Analysis and Applications}, number = {1}, doi = {10.1016/j.jmaa.2025.130078}, url = {https://opus4.kobv.de/opus4-trr154/615}, pages = {19}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @incollection{PfetschSchmidtSkutellaetal.2026, author = {Pfetsch, Marc and Schmidt, Martin and Skutella, Martin and Th{\"u}rauf, Johannes}, title = {Potential-Based Flows - An Overview}, series = {Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks}, booktitle = {Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks}, publisher = {Springer-Nature}, url = {https://opus4.kobv.de/opus4-trr154/614}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2026, author = {Gugat, Martin}, title = {Boundary Stabilization of Quasi-Linear Hyperbolic Systems with Varying Time-Delay}, volume = {63}, number = {SIAM Journal on Control and Optimization}, doi = {10.1137/24M1648570}, url = {https://opus4.kobv.de/opus4-trr154/613}, pages = {452 -- 471}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannRanocha2025, author = {Giesselmann, Jan and Ranocha, Hendrik}, title = {Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions}, url = {https://opus4.kobv.de/opus4-trr154/611}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BreitkopfGugatUlbrich2025, author = {Breitkopf, Jannik and Gugat, Martin and Ulbrich, Stefan}, title = {Existence and Optimal Boundary Control of Classical Solutions to Networks of Quasilinear Hyperbolic Systems of Balance Laws}, url = {https://opus4.kobv.de/opus4-trr154/610}, pages = {42}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BernhardLiersStingl, author = {Bernhard, Daniela and Liers, Frauke and Stingl, Michael}, title = {Branch-and-cut for mixed-integer robust chance-constrained optimization with discrete distributions}, url = {https://opus4.kobv.de/opus4-trr154/609}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BreitkopfUlbrich2025, author = {Breitkopf, Jannik and Ulbrich, Stefan}, title = {A Variational Calculus for Optimal Control of the Generalized Riemann Problem for Hyperbolic Systems of Conservation Laws}, url = {https://opus4.kobv.de/opus4-trr154/607}, pages = {34}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{DenzlerAignerLueeretal.2025, author = {Denzler, Sebastian and Aigner, Kevin-Martin and L{\"u}er, Larry and Brabec, Christoph and Liers, Frauke}, title = {Robust Bayesian Optimization with an Application to Material Science}, url = {https://opus4.kobv.de/opus4-trr154/606}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{UlkeSchusterGoettlich2024, author = {Ulke, Alena and Schuster, Michael and G{\"o}ttlich, Simone}, title = {Steady State Blended Gas Flow on Networks: Existence and Uniqueness of Solutions}, volume = {Netw. Heterog. Media}, url = {https://opus4.kobv.de/opus4-trr154/605}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchusterSokolowski2025, author = {Schuster, Michael and Sokolowski, Jan}, title = {The Topological Derivative Method for Optimum Shape Design and Control of Gas Networks}, url = {https://opus4.kobv.de/opus4-trr154/604}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchusterStrauchWilkaetal.2025, author = {Schuster, Michael and Strauch, Elisa and Wilka, Hendrik and Lang, Jens and Gugat, Martin}, title = {Probabilistic Robustness for Compressor Controls in Transient Pipeline Networks}, url = {https://opus4.kobv.de/opus4-trr154/603}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BernhardStinglLiers, author = {Bernhard, Daniela and Stingl, Michael and Liers, Frauke}, title = {Algorithms for robust chance-constrained optimization with mixture ambiguity}, url = {https://opus4.kobv.de/opus4-trr154/602}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{DisserGriesbachKlimmetal.2024, author = {Disser, Yann and Griesbach, Svenja M. and Klimm, Max and Lutz, Annette}, title = {Bicriterial Approximation for the Incremental Prize-Collecting Steiner-Tree Problem}, url = {https://opus4.kobv.de/opus4-trr154/600}, pages = {21}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BerrensGiesselmann2025, author = {Berrens, Arne and Giesselmann, Jan}, title = {A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport}, url = {https://opus4.kobv.de/opus4-trr154/597}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BirkeEngwerGiesselmannetal.2024, author = {Birke, Gunnar and Engwer, Christian and Giesselmann, Jan and May, Sandra}, title = {Error analysis of a first-order DoD cut cell method for 2D unsteady advection}, url = {https://opus4.kobv.de/opus4-trr154/596}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannKwonLee2024, author = {Giesselmann, Jan and Kwon, Kiwoong and Lee, Min-Gi}, title = {Relative entropy technique in terms of position and momentum and its application to Euler-Poisson system}, url = {https://opus4.kobv.de/opus4-trr154/595}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{TopalovicHante2024, author = {Topalovic, Antonia and Hante, Falk M.}, title = {Stabilizing Model Predictive Control for Generalized Nash Equilibrium Problems using Approximation by α -quasi-GNEPs and Lyapunov End Cost}, url = {https://opus4.kobv.de/opus4-trr154/592}, pages = {6}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{AignerGoerigkHartischetal.2025, author = {Aigner, Kevin-Martin and Goerigk, Marc and Hartisch, Michael and Liers, Frauke and Miehlich, Arthur and R{\"o}sel, Florian}, title = {Feature Selection for Data-Driven Explainable Optimization}, url = {https://opus4.kobv.de/opus4-trr154/586}, pages = {21}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HildebrandGoess, author = {Hildebrand, Robert and G{\"o}ß, Adrian}, title = {Complexity of Integer Programming in Reverse Convex Sets via Boundary Hyperplane Cover}, url = {https://opus4.kobv.de/opus4-trr154/584}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GoessBurlacuMartin2025, author = {G{\"o}ß, Adrian and Burlacu, Robert and Martin, Alexander}, title = {Parabolic Approximation \& Relaxation for MINLP}, url = {https://opus4.kobv.de/opus4-trr154/582}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{AmerAvdzhievaBongartietal.2025, type = {Working Paper}, author = {Amer, Zeina and Avdzhieva, Ana and Bongarti, Marcelo and Dvurechensky, Pavel and Farrell, Patricio and Gotzes, Uwe and Hante, Falk M. and Karsai, Attila and Kater, Stefan and Liero, Matthias and Spreckelsen, Klaus and Taraz, Johannes and Peschka, Dirk and Plato, Luisa}, title = {Modeling Hydrogen Embrittlement for Pricing Degradation in Gas Pipelines}, url = {https://opus4.kobv.de/opus4-trr154/581}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GiesselmannKarsaiTscherpel, author = {Giesselmann, Jan and Karsai, Attila and Tscherpel, Tabea}, title = {Energy-consistent Petrov-Galerkin time discretization of port-Hamiltonian systems}, doi = {10.48550/arXiv.2404.12480}, url = {https://opus4.kobv.de/opus4-trr154/580}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BreitenKarsai2023, author = {Breiten, Tobias and Karsai, Attila}, title = {Structure-preserving \$H_\infty\$ control for port-Hamiltonian systems}, doi = {10.1016/j.sysconle.2023.105493}, url = {https://opus4.kobv.de/opus4-trr154/576}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Karsai, author = {Karsai, Attila}, title = {Manifold turnpikes of nonlinear port-Hamiltonian descriptor systems under minimal energy supply}, doi = {10.1007/s00498-024-00384-7}, url = {https://opus4.kobv.de/opus4-trr154/577}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KarsaiBreitenRammeetal., author = {Karsai, Attila and Breiten, Tobias and Ramme, Justus and Schulze, Philipp}, title = {Nonlinear port-Hamiltonian systems and their connection to passivity}, doi = {10.48550/arXiv.2409.06256}, url = {https://opus4.kobv.de/opus4-trr154/578}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BreitenKarsai, author = {Breiten, Tobias and Karsai, Attila}, title = {Passive feedback control for nonlinear systems}, doi = {10.48550/arXiv.2502.04987}, url = {https://opus4.kobv.de/opus4-trr154/579}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatSchuster2024, author = {Gugat, Martin and Schuster, Michael}, title = {Optimal Neumann Control of the Wave Equation with L1-Control Cost: The Finite-Time Turnpike Property}, series = {Optimization}, journal = {Optimization}, doi = {https://doi.org/10.1080/02331934.2024.2373904}, url = {https://opus4.kobv.de/opus4-trr154/568}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{AignerDenzlerLiersetal.2025, author = {Aigner, Kevin-Martin and Denzler, Sebastian and Liers, Frauke and Pokutta, Sebastian and Sharma, Kartikey}, title = {Scenario Reduction for Distributionally Robust Optimization}, url = {https://opus4.kobv.de/opus4-trr154/573}, pages = {36}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{StrubbergLutzBoerneretal.2025, author = {Strubberg, Lea and Lutz, Annette and B{\"o}rner, Pascal and Pfetsch, Marc and Skutella, Martin and Klimm, Max}, title = {Valid Cuts for the Design of Potential-based Flow Networks}, url = {https://opus4.kobv.de/opus4-trr154/571}, pages = {18}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BockdeBarillasHanteHintermueller2025, author = {Bock de Barillas, Paulina and Hante, Falk and Hinterm{\"u}ller, Michael}, title = {Exact relaxation in optimal switching control for the heat equation}, url = {https://opus4.kobv.de/opus4-trr154/570}, year = {2025}, 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} } @unpublished{BreitenBurelaSchulze2025, author = {Breiten, Tobias and Burela, Shubhaditya and Schulze, Philipp}, title = {Optimal Control for a Class of Linear Transport-Dominated Systems via the Shifted Proper Orthogonal Decomposition}, url = {https://opus4.kobv.de/opus4-trr154/569}, year = {2025}, 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{Filipkovska2023, author = {Filipkovska, Maria}, title = {Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks}, volume = {19}, number = {4}, doi = {https://doi.org/10.15407/mag19.04.719}, url = {https://opus4.kobv.de/opus4-trr154/566}, pages = {719 -- 765}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{BoernerPfetschUlbrich2024, author = {B{\"o}rner, Pascal and Pfetsch, Marc E. and Ulbrich, Stefan}, title = {Modeling and optimization of gas mixtures on networks}, url = {https://opus4.kobv.de/opus4-trr154/565}, pages = {6}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BernhardLiersStingl2024, author = {Bernhard, Daniela and Liers, Frauke and Stingl, Michael}, title = {Robust chance-constrained optimization with discrete distributions}, url = {https://opus4.kobv.de/opus4-trr154/564}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannKunkel2024, author = {Giesselmann, Jan and Kunkel, Teresa}, title = {Identification of minimal number of measurements allowing synchronization of a nodal observer for the wave equation}, url = {https://opus4.kobv.de/opus4-trr154/562}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{WiertzWaltherZoettl, author = {Wiertz, Ann-Kathrin and Walther, Andrea and Z{\"o}ttl, Gregor}, title = {Strategic Retailers in the Energy Sector}, url = {https://opus4.kobv.de/opus4-trr154/561}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiannakopoulosHahn2024, author = {Giannakopoulos, Yiannis and Hahn, Johannes}, title = {Discrete Single-Parameter Optimal Auction Design}, url = {https://opus4.kobv.de/opus4-trr154/560}, 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} } @unpublished{Lange2024, author = {Lange, Christian}, title = {Modeling and Optimal Control of the Flow of a Gas Mixture}, url = {https://opus4.kobv.de/opus4-trr154/558}, year = {2024}, 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} } @unpublished{Schuster2024, author = {Schuster, Michael}, title = {On the Convergence of Optimization Problems with Kernel Density Estimated Probabilistic Constraints}, url = {https://opus4.kobv.de/opus4-trr154/557}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidtTopalovic2024, author = {Hante, Falk M. and Schmidt, Martin and Topalovic, Antonia}, title = {Stabilizing GNEP-Based Model Predictive Control: Quasi-GNEPs and End Constraints}, url = {https://opus4.kobv.de/opus4-trr154/555}, pages = {26}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Kuchlbauer, author = {Kuchlbauer, Martina}, title = {Outer approximation for generalized convex mixed-integer nonlinear robust optimization problems}, url = {https://opus4.kobv.de/opus4-trr154/551}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{ThueraufGruebelSchmidt2024, author = {Th{\"u}rauf, Johannes and Gr{\"u}bel, Julia and Schmidt, Martin}, title = {Adjustable Robust Nonlinear Network Design under Demand Uncertainties}, url = {https://opus4.kobv.de/opus4-trr154/550}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{WilkaLang, author = {Wilka, Hendrik and Lang, Jens}, title = {Adaptive hp-Polynomial Based Sparse Grid Collocation Algorithms for Piecewise Smooth Functions with Kinks}, url = {https://opus4.kobv.de/opus4-trr154/549}, language = {en}, type = {Preprint}, institution = {TRR 154} }