Publications of Peter Benner
All genres
Preprint (39)
2023
Preprint
Goyal, P. K., Pontes Duff, I., & Benner, P. (in press)Inference of Continuous Linear Systems from Data with Guaranteed Stability.
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Goyal, P. K., Pontes Duff, I., & Benner, P. (in press)Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference.
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Kour, K., , Benner, P., , & (in press)A Weighted Subspace Exponential Kernel for Support Tensor Machines.
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, Feng, L., , Miličić, T., Vidaković-Koch, T., & Benner, P. (in press)Parametric Dynamic Mode Decomposition for Nonlinear Parametric Dynamical Systems.
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, Goyal, P. K., & Benner, P. (in press)Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems.
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, Heiland, J., Benner, P., & (in press)Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems.
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Zuyev, A. & Benner, P. (in press)Iterative Approximations of Periodic Trajectories for Nonlinear Systems with Discontinuous Inputs.
2022
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Baran, B., Benner, P., & Saak, J. (in press)Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem.
2021
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Goyal, P. K. & Benner, P. (in press)LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes.
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Goyal, P. K. & Benner, P. (2021)Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta ConstraintThe Symbiosis of Deep Learning and Differential Equations Workshop at NeurIPS 2021, 9 pages.
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Goyal, P. K. & Benner, P. (in press)Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning.
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Sarna, N. & Benner, P. (in press)Learning Reduced Order Models from Data for Hyperbolic PDEs.
2020
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Banagaaya, N., , Grundel, S., & Benner, P. (in press)Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations.
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Goyal, P. K., Daas, H. A., & Benner, P. (in press)Low-Rank and Total Variation Regularization and Its Application to Image Recovery.
2019
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Yue, Y., Feng, L., & Benner, P. (in press)An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models.
2018
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Benner, P. & (in press)Peer Methods for the Solution of Large-Scale Differential Matrix Equations.
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Benner, P., Onwunta, A., & (in press)On the Existence and Uniqueness of the Solution of a Parabolic Optimal Control Problem with Uncertain Inputs.
2017
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Behr, M., Benner, P., & Heiland, J. (in press)Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients.
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Benner, P., , Onwunta, A., & Stoll, M. (in press)Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods.
2016
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Du, X. & Benner, P. (in press)Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation.