@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} } @techreport{EgererGrimmNiazmandetal.2023, author = {Egerer, Jonas and Grimm, Veronika and Niazmand, Kiana and Runge, Philipp}, title = {The economics of global green ammonia trade - "Shipping Australian wind and sunshine to Germany"}, series = {Applied Energy}, volume = {334}, journal = {Applied Energy}, doi = {https://doi.org/10.1016/j.apenergy.2023.120662}, url = {https://opus4.kobv.de/opus4-trr154/507}, pages = {15}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidt2023, author = {Hante, Falk M. and Schmidt, Martin}, title = {Gas Transport Network Optimization: Mixed-Integer Nonlinear Models}, url = {https://opus4.kobv.de/opus4-trr154/505}, pages = {8}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidt2023, author = {Hante, Falk M. and Schmidt, Martin}, title = {Gas Transport Network Optimization: PDE-Constrained Models}, url = {https://opus4.kobv.de/opus4-trr154/504}, pages = {8}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KrugLeugeringMartinetal.2022, author = {Krug, Richard and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Weninger, Dieter}, title = {A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems}, url = {https://opus4.kobv.de/opus4-trr154/503}, pages = {26}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchmidtThuerauf2022, author = {Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {An Exact Method for Nonlinear Network Flow Interdiction Problems}, url = {https://opus4.kobv.de/opus4-trr154/502}, pages = {28}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{ShyshkanovaWalther2022, author = {Shyshkanova, Ganna and Walther, Andrea}, title = {Contact Pressure over Doubly Connected Rectangular Domains and Punch Shape Optimization}, url = {https://opus4.kobv.de/opus4-trr154/501}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KreimeierPokuttaWaltheretal.2022, author = {Kreimeier, Timo and Pokutta, Sebastian and Walther, Andrea and Woodstock, Zev}, title = {On a Frank-Wolfe Approach for Abs-smooth Functions}, url = {https://opus4.kobv.de/opus4-trr154/499}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GruebelKrugSchmidtetal.2022, author = {Gr{\"u}bel, Julia and Krug, Richard and Schmidt, Martin and Wollner, Winnifried}, title = {A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities}, url = {https://opus4.kobv.de/opus4-trr154/498}, pages = {34}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HorlaenderSchmidt2022, author = {Horl{\"a}nder, Andreas and Schmidt, Martin}, title = {A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems}, url = {https://opus4.kobv.de/opus4-trr154/497}, pages = {9}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{AignerBaermannBraunetal.2023, author = {Aigner, Kevin-Martin and B{\"a}rmann, Andreas and Braun, Kristin and Liers, Frauke and Pokutta, Sebastian and Schneider, Oskar and Sharma, Kartikey and Tschuppik, Sebastian}, title = {Data-driven Distributionally Robust Optimization over Time}, url = {https://opus4.kobv.de/opus4-trr154/496}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{MolanSchmidt2022, author = {Molan, Ioana and Schmidt, Martin}, title = {Using Neural Networks to Solve Linear Bilevel Problems with Unknown Lower Level}, url = {https://opus4.kobv.de/opus4-trr154/495}, pages = {16}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GutinaBaermannRoederetal.2022, author = {Gutina, Daria and B{\"a}rmann, Andreas and Roeder, Georg and Schellenberger, Martin and Liers, Frauke}, title = {Optimisation over Decision Trees - A Case Study for the Design of Stable Direct-Current Electricity Networks}, url = {https://opus4.kobv.de/opus4-trr154/494}, year = {2022}, 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} } @phdthesis{Gruebel, author = {Gr{\"u}bel, Julia}, title = {Existence, Uniqueness, and Algorithms for Equilibria in Competitive Energy Markets}, doi = {10.25353/ubtr-xxxx-4c49-7f53}, url = {https://opus4.kobv.de/opus4-trr154/492}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckLjubicSchmidt2022, author = {Beck, Yasmine and Ljubic, Ivana and Schmidt, Martin}, title = {A Survey on Bilevel Optimization Under Uncertainty}, url = {https://opus4.kobv.de/opus4-trr154/491}, pages = {57}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HernandezLecarosZamorano2022, author = {Hernandez, Martin and Lecaros, Rodrigo and Zamorano, Sebastian}, title = {Averaged turnpike property for differential equations with random constant coefficients}, url = {https://opus4.kobv.de/opus4-trr154/490}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @incollection{Leugering2022, author = {Leugering, G{\"u}nter}, title = {Nonoverlapping Domain Decomposition in Space and Time for Optimal Control Problems on Metric Graphs by the Example of Gas Flow in Pipe Networks}, url = {https://opus4.kobv.de/opus4-trr154/489}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckSchmidtThueraufetal.2022, author = {Beck, Yasmine and Schmidt, Martin and Th{\"u}rauf, Johannes and Bienstock, Daniel}, title = {On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level}, url = {https://opus4.kobv.de/opus4-trr154/484}, pages = {16}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HannesVolkerRolandetal.2022, author = {Hannes, D{\"a}nschel and Volker, Mehrmann and Roland, Marius and Schmidt, Martin}, title = {Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs}, url = {https://opus4.kobv.de/opus4-trr154/483}, pages = {29}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Leugering2022, author = {Leugering, G{\"u}nter}, title = {Nonoverlapping Domain Decomposition for Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network}, url = {https://opus4.kobv.de/opus4-trr154/482}, pages = {15}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchaeferAguilarUlbrich2021, author = {Sch{\"a}fer Aguilar, Paloma and Ulbrich, Stefan}, title = {Convergence of numerical adjoint schemes arising from optimal boundary control problems of hyperbolic conservation laws}, url = {https://opus4.kobv.de/opus4-trr154/481}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{AignerSchaumannvonLoeperetal., author = {Aigner, Kevin-Martin and Schaumann, Peter and von Loeper, Freimut and Martin, Alexander and Schmidt, Volker and Liers, Frauke}, title = {Robust DC Optimal Power Flow with Modeling of Solar Power Supply Uncertainty via R-Vine Copulas}, url = {https://opus4.kobv.de/opus4-trr154/480}, 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} } @unpublished{SauterTischendorf2021, author = {Sauter, Henning and Tischendorf, Caren}, title = {Least squares collocation for the simulation of gas network DAEs}, url = {https://opus4.kobv.de/opus4-trr154/478}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SauterTischendorf2021, author = {Sauter, Henning and Tischendorf, Caren}, title = {Optimal control of gas network DAEs}, url = {https://opus4.kobv.de/opus4-trr154/477}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HalbigHuembsRoeseletal.2021, author = {Halbig, Katrin and H{\"u}mbs, Lukas and R{\"o}sel, Florian and Schewe, Lars and Weninger, Dieter}, title = {Computing optimality certificates for convex mixed-integer nonlinear problems}, url = {https://opus4.kobv.de/opus4-trr154/476}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KreimeierWaltherGriewank2021, author = {Kreimeier, Timo and Walther, Andrea and Griewank, Andreas}, title = {An active signature method for constrained abs-linear minimization}, url = {https://opus4.kobv.de/opus4-trr154/474}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GrimmHintermuellerHuberetal., author = {Grimm, Veronika and Hinterm{\"u}ller, Michael and Huber, Olivier and Schewe, Lars and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport}, url = {https://opus4.kobv.de/opus4-trr154/458}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KreimeierSauterStreubeletal.2021, author = {Kreimeier, Timo and Sauter, Henning and Streubel, Tom and Tischendorf, Caren and Walther, Andrea}, title = {Solving Least-Squares Collocated Differential Algebraic Equations by Successive Abs-Linear Minimization - A Case Study on Gas Network Simulation}, url = {https://opus4.kobv.de/opus4-trr154/473}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Henrion2021, author = {Henrion, Rene}, title = {On M-stationarity conditions for probabilistic MPECs}, url = {https://opus4.kobv.de/opus4-trr154/472}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckLjubicSchmidt2021, author = {Beck, Yasmine and Ljubic, Ivana and Schmidt, Martin}, title = {Exact Methods for Discrete Γ-Robust Interdiction Problems with an Application to the Bilevel Knapsack Problem}, url = {https://opus4.kobv.de/opus4-trr154/471}, pages = {39}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Hante, author = {Hante, Falk}, title = {Relaxation methods for optimal switching control of PDE-dynamical systems}, url = {https://opus4.kobv.de/opus4-trr154/469}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{CattaruzzaLabbePetrisetal.2021, author = {Cattaruzza, Diego and Labb{\´e}, Martine and Petris, Matteo and Roland, Marius and Schmidt, Martin}, title = {Exact and Heuristic Solution Techniques for Mixed-Integer Quantile Minimization Problems}, url = {https://opus4.kobv.de/opus4-trr154/467}, pages = {35}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BreitenSchulze2021, author = {Breiten, Tobias and Schulze, Philipp}, title = {Structure-Preserving Linear Quadratic Gaussian Balanced Truncation for Port-Hamiltonian Descriptor Systems}, url = {https://opus4.kobv.de/opus4-trr154/465}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KlimmPfetschRaberetal.2021, author = {Klimm, Max and Pfetsch, Marc and Raber, Rico and Skutella, Martin}, title = {Reduction of Potential-Based Flow Networks}, url = {https://opus4.kobv.de/opus4-trr154/463}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KlimmPfetschRaberetal.2021, author = {Klimm, Max and Pfetsch, Marc and Raber, Rico and Skutella, Martin}, title = {Approximation of Binary Second Order Cone Programs of Packing Type}, url = {https://opus4.kobv.de/opus4-trr154/461}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KlimmWarode2021, author = {Klimm, Max and Warode, Philipp}, title = {Parametric computation of minimum cost flows with piecewise quadratic costs}, series = {Mathematics of Operations Research}, journal = {Mathematics of Operations Research}, doi = {10.1287/moor.2021.1151}, url = {https://opus4.kobv.de/opus4-trr154/462}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{PflugGrieshammerUihleinetal.2021, author = {Pflug, Lukas and Grieshammer, Max and Uihlein, Andrian and Stingl, Michael}, title = {CSG: A stochastic gradient method for a wide class of optimization problems appearing in a machine learning or data-driven context}, url = {https://opus4.kobv.de/opus4-trr154/460}, pages = {22}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BurgerHumpertPietschmann2021, author = {Burger, Martin and Humpert, Ina and Pietschmann, Jan}, title = {Dynamic optimal transport on networks}, url = {https://opus4.kobv.de/opus4-trr154/457}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{RuizBaletAffiliZuazua, author = {Ruiz-Balet, Dom{\`e}nec and Affili, Elisa and Zuazua, Enrique}, title = {Interpolation and approximation via Momentum ResNets and Neural ODEs}, url = {https://opus4.kobv.de/opus4-trr154/447}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{OggioniSchwartzZoettletal.2022, type = {Working Paper}, author = {Oggioni, Giorgia and Schwartz, Alexandra and Z{\"o}ttl, Gregor and Wiertz, Ann-Kathrin}, title = {Dynamic Pricing and Strategic Retailers in the Energy Sector: A Multi-Leader-Follower Approach}, url = {https://opus4.kobv.de/opus4-trr154/455}, pages = {41}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ReussWelderThueraufetal.2019, author = {Reuß, Markus and Welder, Lara and Th{\"u}rauf, Johannes and Linßen, Jochen and Grube, Thomas and Schewe, Lars and Schmidt, Martin and Stolten, Detlef and Robinius, Martin}, title = {Modeling Hydrogen Networks for Future Energy Systems: A Comparison of Linear and Nonlinear Approaches}, series = {International Journal of Hydrogen Energy}, journal = {International Journal of Hydrogen Energy}, doi = {10.1016/j.ijhydene.2019.10.080}, url = {https://opus4.kobv.de/opus4-trr154/453}, year = {2019}, 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} } @unpublished{GeiersbachHintermueller2021, author = {Geiersbach, Caroline and Hinterm{\"u}ller, Michael}, title = {Optimality conditions and Moreau-Yosida regularization for almost sure state constraints}, url = {https://opus4.kobv.de/opus4-trr154/450}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GahururuHintermuellerSurowiec2021, author = {Gahururu, Deborah and Hinterm{\"u}ller, Michael and Surowiec, Thomas}, title = {Risk-Neutral PDE-Constrained Generalized Nash Equilibrium Problems}, url = {https://opus4.kobv.de/opus4-trr154/449}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KreimeierKuchlbauerLiersetal.2022, author = {Kreimeier, Timo and Kuchlbauer, Martina and Liers, Frauke and Stingl, Michael and Walther, Andrea}, title = {Towards the Solution of Robust Gas Network Optimization Problems Using the Constrained Active Signature Method}, url = {https://opus4.kobv.de/opus4-trr154/448}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Huck2018, author = {Huck, Christoph}, title = {Perturbation analysis and numerical discretisation of hyperbolic partial differential algebraic equations describing flow networks}, doi = {10.18452/19596}, url = {https://opus4.kobv.de/opus4-trr154/446}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{UlbrichChristianManns2021, author = {Ulbrich, Stefan and Christian, Kirches and Manns, Paul}, title = {Compactness and convergence rates in the combinatorial integral approximation decomposition}, url = {https://opus4.kobv.de/opus4-trr154/444}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{UlbrichManns, author = {Ulbrich, Stefan and Manns, Paul}, title = {a simplified newton method to generate snapshots for POD models of semilinear optimal controlproblems}, url = {https://opus4.kobv.de/opus4-trr154/445}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{VeldmanZuazua, author = {Veldman, D and Zuazua, E}, title = {A framework for randomized time-splitting in linear-quadratic optimal control}, url = {https://opus4.kobv.de/opus4-trr154/443}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GeshkovskiZuazua, author = {Geshkovski, B and Zuazua, E}, title = {Control and Deep Learning: Some connections}, url = {https://opus4.kobv.de/opus4-trr154/442}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GeshkovskiZuazua2021, author = {Geshkovski, B and Zuazua, E}, title = {Controllability of one-dimensional viscous free boundary flows}, volume = {59}, number = {3}, doi = {https://doi.org/10.1137/19M1285354}, url = {https://opus4.kobv.de/opus4-trr154/437}, pages = {1830 -- 1850}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{EsteveKouhkouhPighinetal., author = {Esteve, C and Kouhkouh, H and Pighin, D and Zuazua, E}, title = {The Turnpike property and the long-time behavior of the Hamilton-Jacobi equation}, url = {https://opus4.kobv.de/opus4-trr154/439}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{JoheacTrelatZuazua2021, author = {Joheac, J and Trelat, E and Zuazua, E}, title = {Nonnegative control of finite-dimensional linear systems}, volume = {38}, number = {2}, doi = {https://doi.org/10.1016/j.anihpc.2020.07.004}, url = {https://opus4.kobv.de/opus4-trr154/441}, pages = {301 -- 346}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BiccariWarmaZuazua, author = {Biccari, U and Warma, M and Zuazua, E}, title = {Control and Numerical approximation of Fractional Diffusion Equations}, url = {https://opus4.kobv.de/opus4-trr154/436}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HeilandZuazua2021, author = {Heiland, J and Zuazua, E}, title = {Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems}, url = {https://opus4.kobv.de/opus4-trr154/433}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GeshkovskiZuazua, author = {Geshkovski, B and Zuazua, E}, title = {Optimal actuator design via Brunovsky's normal form}, url = {https://opus4.kobv.de/opus4-trr154/435}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BiccariZuazua2021, author = {Biccari, U and Zuazua, E}, title = {Multilevel control by duality}, url = {https://opus4.kobv.de/opus4-trr154/431}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KoZuazua2021, author = {Ko, D and Zuazua, E}, title = {Model predictive control with random batch methods for a guiding problem}, volume = {31}, number = {8}, doi = {https://doi.org/10.1142/S0218202521500329}, url = {https://opus4.kobv.de/opus4-trr154/432}, pages = {1569 -- 1592}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BarcenaPetiscoZuazua2021, author = {Barcena-Petisco, J.A. and Zuazua, E}, title = {Averaged dynamics and control for heat equations with random diffusion}, url = {https://opus4.kobv.de/opus4-trr154/430}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{WangZhangZuazua2021, author = {Wang, G and Zhang, Y and Zuazua, E}, title = {Flow decomposition for heat equations with memory}, url = {https://opus4.kobv.de/opus4-trr154/429}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{ZhongJieZuazua, author = {Zhong-Jie, H and Zuazua, E}, title = {Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems}, url = {https://opus4.kobv.de/opus4-trr154/434}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{RuizBaletZuazua, author = {Ruiz-Balet, D and Zuazua, E}, title = {Neural ODE Control for Classification, Approximation and Transport}, url = {https://opus4.kobv.de/opus4-trr154/440}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{LanceTrelatZuazua2020, author = {Lance, G and Trelat, E and Zuazua, E}, title = {Shape turnpike for linear parabolic PDE models}, volume = {142}, doi = {10.1016/j.sysconle.2020.104733}, url = {https://opus4.kobv.de/opus4-trr154/428}, pages = {104 -- 733}, year = {2020}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Leugering2021, author = {Leugering, G{\"u}nter}, title = {Space-time-domain decomposition for optimal control problems governed by linear hyperbolic systems}, url = {https://opus4.kobv.de/opus4-trr154/427}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{JoormannPfetsch2018, author = {Joormann, Imke and Pfetsch, Marc E.}, title = {Complexity of Minimum Irreducible Infeasible Subsystem Covers for Flow Networks}, series = {Discrete Applied Mathematics}, volume = {244}, journal = {Discrete Applied Mathematics}, doi = {10.1016/j.dam.2018.02.025}, url = {https://opus4.kobv.de/opus4-trr154/424}, pages = {124 -- 142}, year = {2018}, 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} } @unpublished{AdelhuetteBiefelKuchlbaueretal., author = {Adelh{\"u}tte, Dennis and Biefel, Christitan and Kuchlbauer, Martina and Rolfes, Jan}, title = {Pareto Robust optimization on Euclidean vector spaces}, url = {https://opus4.kobv.de/opus4-trr154/422}, 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} } @unpublished{EggerGiesselmannPhilippietal.2021, author = {Egger, Herbert and Giesselmann, Jan and Philippi, Nora and Kunkel, Teresa}, title = {An asymptotic-preserving discretization scheme for gas transport in pipe networks}, url = {https://opus4.kobv.de/opus4-trr154/418}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BiefelLiersRolfesetal., author = {Biefel, Christian and Liers, Frauke and Rolfes, Jan and Schewe, Lars and Z{\"o}ttl, Gregor}, title = {Robust Market Equilibria under Uncertain Cost}, url = {https://opus4.kobv.de/opus4-trr154/417}, pages = {24}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Leugering2021, author = {Leugering, G{\"u}nter}, title = {Space-Time-Domain Decomposition for Optimal Control Problems Governed by Linear Hyperbolic Systems}, url = {https://opus4.kobv.de/opus4-trr154/415}, pages = {18}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Leugering, author = {Leugering, G{\"u}nter}, title = {Industrial Applications of Optimal Control for Partial Differential Equations on Networks: Reduction and Decomposition Methods Applied to the Discrete-Continuous Control of Gas Flow in Complex Pipe Systems}, volume = {Computational Science and Its Applications}, number = {1st Edition}, url = {https://opus4.kobv.de/opus4-trr154/416}, pages = {25 -- 40}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KuchlbauerLiersStingl2021, author = {Kuchlbauer, Martina and Liers, Frauke and Stingl, Michael}, title = {Outer approximation for mixed-integer nonlinear robust optimization}, url = {https://opus4.kobv.de/opus4-trr154/414}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BiefelKuchlbauerLiersetal.2021, author = {Biefel, Christian and Kuchlbauer, Martina and Liers, Frauke and Waldm{\"u}ller, Lisa}, title = {Robust static and dynamic maximum flows}, url = {https://opus4.kobv.de/opus4-trr154/413}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteKrugSchmidt2021, author = {Hante, Falk and Krug, Richard and Schmidt, Martin}, title = {Time-Domain Decomposition for Mixed-Integer Optimal Control Problems}, url = {https://opus4.kobv.de/opus4-trr154/412}, pages = {32}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{DomschkeHillerLangetal.2021, author = {Domschke, Pia and Hiller, Benjamin and Lang, Jens and Mehrmann, Volker and Morandin, Riccardo and Tischendorf, Caren}, title = {Gas Network Modeling: An Overview}, url = {https://opus4.kobv.de/opus4-trr154/411}, pages = {53}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Schuster2021, author = {Schuster, Michael}, title = {Nodal Control and Probabilistic Constrained Optimization using the Example of Gas Networks}, url = {https://opus4.kobv.de/opus4-trr154/410}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{DisserKlimmWeckbecker2021, author = {Disser, Yann and Klimm, Max and Weckbecker, David}, title = {Fractionally Subadditive Maximization under an Incremental Knapsack Constraint}, url = {https://opus4.kobv.de/opus4-trr154/408}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{PfetschSchmitt2021, author = {Pfetsch, Marc E. and Schmitt, Andreas}, title = {A Generic Optimization Framework for Resilient Systems}, url = {https://opus4.kobv.de/opus4-trr154/409}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeattieGugercinMehrmann, author = {Beattie, Chris A. and Gugercin, Serkan and Mehrmann, Volker}, title = {Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems}, url = {https://opus4.kobv.de/opus4-trr154/407}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{ManguogluMehrmann, author = {Manguoglu, Murat and Mehrmann, Volker}, title = {A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers}, url = {https://opus4.kobv.de/opus4-trr154/404}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BankmannMehrmannNesterovetal., author = {Bankmann, Daniel and Mehrmann, Volker and Nesterov, Yurii and Van Dooren, Paul}, title = {Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis}, url = {https://opus4.kobv.de/opus4-trr154/405}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{MehrmannVanDooren, author = {Mehrmann, Volker and Van Dooren, Paul}, title = {Optimal robustness of port-Hamiltonian systems}, url = {https://opus4.kobv.de/opus4-trr154/406}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{MehrmannMorandin, author = {Mehrmann, Volker and Morandin, Riccardo}, title = {Structure-preserving discretization for port-Hamiltonian descriptor systems}, url = {https://opus4.kobv.de/opus4-trr154/403}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KrugLeugeringMartinetal.2021, author = {Krug, Richard and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Weninger, Dieter}, title = {Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems with Mixed Two-Point Boundary Conditions}, series = {Control and Cybernetics}, journal = {Control and Cybernetics}, url = {https://opus4.kobv.de/opus4-trr154/399}, pages = {20}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BreitenMorandinSchulze2021, author = {Breiten, Tobias and Morandin, Riccardo and Schulze, Philipp}, title = {Error bounds for port-Hamiltonian model and controller reduction based on system balancing}, address = {Computers \& Mathematics with Applications}, doi = {10.1016/j.camwa.2021.07.022}, url = {https://opus4.kobv.de/opus4-trr154/397}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BreitenUnger, author = {Breiten, Tobias and Unger, Benjamin}, title = {Passivity preserving model reduction via spectral factorization}, url = {https://opus4.kobv.de/opus4-trr154/398}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{DeSantisdeVriesSchmidtetal.2021, author = {De Santis, Marianna and de Vries, Sven and Schmidt, Martin and Winkel, Lukas}, title = {A Penalty Branch-and-Bound Method for Mixed-Binary Linear Complementarity Problems}, url = {https://opus4.kobv.de/opus4-trr154/394}, pages = {24}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Plein2021, author = {Plein, Fr{\"a}nk}, title = {When Bilevel Optimization Meets Gas Networks: Feasibility of Bookings in the European Entry-Exit Gas Market. Computational Complexity Results and Bilevel Optimization Approaches}, url = {https://opus4.kobv.de/opus4-trr154/393}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @misc{BeckSchmidt2021, author = {Beck, Yasmine and Schmidt, Martin}, title = {A Gentle and Incomplete Introduction to Bilevel Optimization}, url = {https://opus4.kobv.de/opus4-trr154/392}, pages = {104}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Nowak2021, author = {Nowak, Daniel}, title = {Nonconvex Nash Games - Solution Concepts and Algorithms}, publisher = {E-Publishing-Service der TU Darmstadt}, address = {Darmstadt}, doi = {10.26083/tuprints-00017637}, url = {https://opus4.kobv.de/opus4-trr154/391}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BarcenaPetiscoCavalcanteCocliteetal.2021, author = {B{\´a}rcena-Petisco, J.A. and Cavalcante, M. and Coclite, G.M. and de Nitti, N. and Zuazua, E.}, title = {Control of Hyperbolic and Parabolic Equations on Networks and Singular limits}, url = {https://opus4.kobv.de/opus4-trr154/390}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GruebelHuberHuembsetal.2021, author = {Gr{\"u}bel, Julia and Huber, Olivier and H{\"u}mbs, Lukas and Klimm, Max and Schmidt, Martin and Schwartz, Alexandra}, title = {Nonconvex Equilibrium Models for Energy Markets: Exploiting Price Information to Determine the Existence of an Equilibrium}, url = {https://opus4.kobv.de/opus4-trr154/389}, pages = {29}, year = {2021}, 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} } @unpublished{BrandaHenrionPištěk2021, author = {Branda, Martin and Henrion, Ren{\´e} and Pištěk, Miroslav}, title = {Value at risk approach to producer's best response in electricity market with uncertain demand}, url = {https://opus4.kobv.de/opus4-trr154/386}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BertholdHeitschHenrionetal.2021, author = {Berthold, Holger and Heitsch, Holger and Henrion, Ren{\´e} and Schwientek, Jan}, title = {On the algorithmic solution of optimization problems subject to probabilistic/robust (probust) constraints}, doi = {10.1007/s00186-021-00764-8}, url = {https://opus4.kobv.de/opus4-trr154/385}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatGiesselmannKunkel2021, author = {Gugat, Martin 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} } @phdthesis{Kleinert2021, author = {Kleinert, Thomas}, title = {Algorithms for Mixed-Integer Bilevel Problems with Convex Followers}, url = {https://opus4.kobv.de/opus4-trr154/383}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} }