Publications of Peter Benner

Preprint (38)

2023
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Forootani, A.; Goyal, P. K.; Benner, P.: A Robust SINDy Approach by Combining Neural Networks and an Integral Form. (2023)
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Goyal, P. K.; Pontes Duff, I.; Benner, P.: Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction. (2023)
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Goyal, P. K.; Pontes Duff, I.; Benner, P.: Inference of Continuous Linear Systems from Data with Guaranteed Stability. (2023)
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Goyal, P. K.; Pontes Duff, I.; Benner, P.: Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. (2023)
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Goyal, P. K.; Yildiz, S.; Benner, P.: Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. (2023)
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Kour, K.; Dolgov, S.; Benner, P.; Stoll, M.; Pfeffer, M.: A Weighted Subspace Exponential Kernel for Support Tensor Machines. (2023)
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Mlinarić, P.; Benner, P.; Gugercin, S.: Interpolatory H2-Optimality Conditions for Structured Linear Time-invariant Systems. (2023)
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Przybilla, J.; Pontes Duff, I.; Benner, P.: Semi-Active Damping Optimization of Vibrational Systems using the Reduced Basis Method. (2023)
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Sun, S.; Feng, L.; Chan, H. S.; Miličić, T.; Vidaković-Koch, T.; Benner, P.: Parametric Dynamic Mode Decomposition for Nonlinear Parametric Dynamical Systems. (2023)
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Yevgenieva, Y.; Zuyev, A.; Benner, P.; Seidel-Morgenstern, A.: Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint. (2023)
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Yildiz, S.; Goyal, P. K.; Bendokat, T.; Benner, P.: Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. (2023)
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Yildiz, S.; Goyal, P. K.; Benner, P.: Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. (2023)
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Zhang, J.; Heiland, J.; Benner, P.; Du, X.: Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems. (2023)
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Zuyev, A.; Benner, P.: Iterative Approximations of Periodic Trajectories for Nonlinear Systems with Discontinuous Inputs. (2023)
2022
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Baran, B.; Benner, P.; Saak, J.: Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem. (2022)
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Goyal, P. K.; Benner, P.: Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. (2022)
2021
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Goyal, P. K.; Benner, P.: LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. (2021)
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Goyal, P. K.; Benner, P.: Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. (2021)
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Goyal, P. K.; Benner, P.: Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. (2021)
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Kweyu, C. M.; Khoromskaia, V.; Khoromskij, B.; Stein, M.; Benner, P.: Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format. (2021)
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