Publications of Peter Benner
All genres
Preprint (35)
2024
Preprint
Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems. (2024)
Preprint
Digital Twins in Process Engineering: An Overview on Computational and Numerical Methods. (2024)
Preprint
Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. (2024)
Preprint
Balanced Truncation of Descriptor Systems with a Quadratic Output. (2024)
Preprint
Estimates of the Kolmogorov n-Width for Nonlinear Transformations with Application to Distributed-Parameter Control Systems. (2024)
2023
Preprint
A Robust SINDy Approach by Combining Neural Networks and an Integral Form. (2023)
Preprint
Inference of Continuous Linear Systems from Data with Guaranteed Stability. (2023)
Preprint
Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. (2023)
Preprint
Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. (2023)
Preprint
A Weighted Subspace Exponential Kernel for Support Tensor Machines. (2023)
Preprint
Interpolatory H2-Optimality Conditions for Structured Linear Time-invariant Systems. (2023)
Preprint
Parametric Dynamic Mode Decomposition for Nonlinear Parametric Dynamical Systems. (2023)
Preprint
Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. (2023)
Preprint
Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. (2023)
Preprint
Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems. (2023)
Preprint
Iterative Approximations of Periodic Trajectories for Nonlinear Systems with Discontinuous Inputs. (2023)
2022
Preprint
Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem. (2022)
2021
Preprint
LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. (2021)
Preprint
Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. (2021)
Preprint
Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. (2021)