Peter Benner - Publications

Submitted articles

[S35]	Structure-Preserving Interpolation of Quadratic-Bilinear Systems via Regular Multivariate Transfer Functions Peter Benner, Serkan Gugercin, and Steffen W. R. Werner Submitted, June 2024.
[S34]	Parametric S-Parameter Prediction Using Deep Learning Vinayak Bansal and Linhong Feng, Valentin de la Rubia, and Peter Benner Submitted, June 2024.
[S33]	Modelling Gas Networks with Compressors: A port-Hamiltonian Approach Thomas Bendokat, Peter Benner, Sara Grundel, and Ashwin S. Nayak Preprint arXiv: 2406.01164, [math.OC], 3 June 2024.
[S32]	Comparison of Data-Driven Approaches for Simulating the Dynamic Operation of a CO2 Methanation Reactor Luisa Peterson, Ali Forootani, Edgar Ivan Sanchez Medina, Ion Victor Gosea, Kai Sundmacher, and Peter Benner Submitted, May 2024.
[S31]	GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations Ali Forootani and Peter Benner Preprint arXiv: 2405.08613v1, [math.DS], 14 May 2024.
[S30]	GS-PINN: Greedy Sampling for Parameter Estimation in Partial Differential Equations Ali Forootani, Harshit Kapadia, Sridhar Chellappa, Pawan Goyal, and Peter Benner Preprint arXiv: 2405.08537v1, [math.DS], 14 May 2024.
[S29]	Exponential Synchronization of BAM Neural Networks with Delay on Arbitrary Time Domains Peter Benner, Jan Heiland, and Vipin Kumar Submitted, May 2024.
[S28]	Digital Twins in Process Engineering: An Overview on Computational and Numerical Methods Luisa Peterson, Ion Victor Gosea, Peter Benner, and Kai Sundmacher Preprint 10.2139/ssrn.4747265, 12 February 2024.
[S27]	Learning Reduced-Order Models for Dynamic CO2 Methanation Using Operator Inference Luisa Peterson, Pawan Goyal, Ion Victor Gosea, Jens Bremer, Peter Benner, and Kai Sundmacher Submitted, March 2024.
[S26]	Stability and Decay-Rate Estimates for a Nonlinear Dispersed Flow Reactor Model with Boundary Control Yevgeniia Yevgenieva, Alexander Zuyev, and Peter Benner Submitted, 22 March 2024.
[S25]	MaRDIFlow: A CSE workflow framework for abstracting meta-data from FAIR computational experiments Pavan Veluvali, Jan Heiland, and Peter Benner arXiv Preprint arXiv: 2405.00028, [cs.DC], 28 February 2024.
[S24]	Learning Reduced-Order Quadratic-Linear Models in Process Engineering using Operator Inference Ion Victor Gosea, Luisa Peterson, Pawan Goyal, Jens Bremer, Kai Sundmacher, and Peter Benner arXiv Preprint arXiv: 2402.17698, [math.NA], 27 February 2024.
[S23]	Balanced Truncation of Descriptor Systems with a Quadratic Output Jennifer Przybilla, Igor Pontes Duff, Pawan Goyal, and Peter Benner arXiv Preprint arXiv: 2402.14716, [math.DS], 22 February 2024.
[S22]	Numerical Methods for Closed-Loop Systems with Non-Autonomous Data Björn Baran, Peter Benner, Jens Saak, and Tony Stillfjord arXiv Preprint arXiv: 2402.13656, [math.NA], 21 February 2024.
[S21]	Stability-Certified Learning of Control Systems with Quadratic Nonlinearities Igor Pontes Duff, Pawan Goyal, and Peter Benner arXiv Preprint arXiv: 2403.00646, [cs.LG], 1 March 2024.
[S20]	Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems Petar Mlinarić, Peter Benner, and Serkan Gugercin arXiv Preprint arXiv: 2401.10047, [math.OC], 18 January 2024.
[S19]	Iterative Approximations of Periodic Trajectories for Nonlinear Systems with Discontinuous Inputs Alexander Zuyev and Peter Benner arXiv Preprint arXiv: 2401.00310, [math.OC], 30 December 2023.
[S18]	Interpolatory H₂-optimality Conditions for Structured Linear Time-invariant Systems Petar Mlinarić, Peter Benner, and Serkan Gugercin arXiv Preprint arXiv: 2310.10618, [math.DS], 16 October 2023.
[S17]	A Robust SINDy Approach by Combining Neural Networks and an Integral Form Ali Forootani, Pawan Goyal, and Peter Benner arXiv Preprint arXiv: 2309.07193, [math.DS], 13 September 2023.
[S16]	Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics Pawan Goyal, Süleyman Yildiz, and Peter Benner arXiv Preprint arXiv: 2308.13835, [cs.LG], 26 August 2023.
[S15]	Guaranteed Stable Quadratic Models and their Applications in SINDy and Operator Inference Pawan Goyal, Igor Pontes Duff, and Peter Benner arXiv Preprint arXiv: 2308.13819, [cs.LG], 26 August 2023.
[S14]	Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems Süleyman Yildiz, Pawan Goyal, and Peter Benner arXiv Preprint arXiv: 2308.02625, [math.NA], 4 August 2023.
[S13]	Adomian Decomposition Method in the Theory of Periodic Boundary Value Problems for Differential Equations with Switches Peter Benner, Sergey Chuiko, and Mykita Popov Submitted, June 2023.
[S12]	Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems Jingjing Zhang, Jan Heiland, Peter Benner, and Xin Du arXiv Preprint arXiv: 2306.01120, [eess.SY], 1 June 2023.
[S11]	Parametric Dynamic Mode Decomposition for Nonlinear Parametric Dynamical Systems Shuwen Sun, Lihong Feng, Hoon Seng Chan, Tamara Miličić, Tanja Vidaković-Koch, and Peter Benner arXiv Preprint arXiv: 2305.06197, [math.NA], 10 May 2023.
[S10]	A Weighted Subspace Exponential Kernel for Support Tensor Machines Kirandeep Kour, Sergey Dolgov, Peter Benner, Martin Stoll, and Max Pfeffer arXiv Preprint arXiv: 2302.08134, [cs.LG], 16 February 2023.
[S9]	Inference of Continuous Linear Systems from Data with Guaranteed Stability Pawan Goyal, Igor Pontes Duff, and Peter Benner arXiv Preprint arXiv: 2301.10060, [cs.LG], 24 January 2023.
[S8]	Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem Björn Baran, Peter Benner, and Jens Saak arXiv Preprint arXiv: 2209.05476, [math.NA], 12 September 2022.
[S7]	Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning Pawan Goyal and Peter Benner arXiv Preprint arXiv: 2111.12995, [cs.LG], 25 November 2021.
[S6]	Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format Cleophas Kweyu, Venera Khoromskaia, Boris Khoromskij, Matthias Stein, and Peter Benner arXiv Preprint arXiv: 2109.14073, [math.NA], 28 September 2021.
[S5]	Learning Reduced Order Models from Data for Hyperbolic PDEs Neeraj Sarna and Peter Benner arXiv Preprint arXiv: 2109.06156, [math.NA], 13 September 2021.
[S4]	LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes Peter Benner and Pawan Goyal arXiv Preprint arXiv:2103.02249, [cs.LG], March 2021.
[S3]	A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity Roman Weinhandl, Peter Benner, and Thomas Richter arXiv Preprint arXiv:2008.10275, [math.NA], August 2020.
[S2]	Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems Peter Benner and Pawan Goyal arXiv Preprint arXiv:1705.00160, April 2017.
[S1]	Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation Xin Du and Peter Benner arXiv Preprint arXiv:1602.04408v1 [cs.SY], February 2016.