131 citations · 917 across the 125 of their papers we have counts for
139 papers
Robust forms for passive descriptor systems
Peter Benner, Anshul Prajapati, Paul Van Dooren
We show how to compute the passivity radius of a given generalized state-space model of a rational transfer function that represents a passive system, both in the continuous-time a…
Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics
Pawan Goyal, Süleyman Yıldız, Peter Benner
Discovering a suitable coordinate transformation for nonlinear systems enables the construction of simpler models, facilitating prediction, control, and optimization for complex no…
Periodic optimal control of a plug flow reactor model with an isoperimetric constraint
Yevgeniia Yevgenieva, Alexander Zuyev, Peter Benner +1
We study a class of nonlinear hyperbolic partial differential equations with boundary control. This class describes chemical reactions of the type `` product'' carried out i…
Parameterized Interpolation of Passive Systems
Peter Benner, Pawan Goyal, Paul Van Dooren
We study the tangential interpolation problem for a passive transfer function in standard state-space form. We derive new interpolation conditions based on the computation of a def…
Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems
Süleyman Yildiz, Pawan Goyal, Peter Benner
This work discusses the model reduction problem for large-scale multi-symplectic PDEs with cubic invariants. For this, we present a linearly implicit global energy-preserving metho…
Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference
Pawan Goyal, Igor Pontes Duff, Peter Benner
Scientific machine learning for inferring dynamical systems combines data-driven modeling, physics-based modeling, and empirical knowledge. It plays an essential role in engineerin…