9 citations · 47 across the 37 of their papers we have counts for
6 papers · 1 filter
Generalizations of data-driven balancing: What to sample for different balancing-based reduced models
Sean Reiter, Ion Victor Gosea, Serkan Gugercin
The quadrature-based balanced truncation (QuadBT) framework of arXiv:2104.01006 is a non-intrusive reformulation of balanced truncation (BT), a classical projection-based model-ord…
Implicit and explicit matching of non-proper transfer functions in the Loewner framework
Ion Victor Gosea, Jan Heiland
The reduced-order modeling of a system from data (also known as system identification) is a classical task in system and control theory and well understood for standard linear syst…
Loewner functions for bilinear systems
Pauline Kergus, Ion Victor Gosea, Mihaly Petreczky
This work brings together the moment matching approach based on Loewner functions and the classical Loewner framework based on the Loewner pencil in the case of bilinear systems. N…
Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems
Ion Victor Gosea, Serkan Gugercin, Steffen W. R. Werner
An essential tool in data-driven modeling of dynamical systems from frequency response measurements is the barycentric form of the underlying rational transfer function. In this wo…
Data-driven and low-rank implementations of Balanced Singular Perturbation Approximation
Björn Liljegren-Sailer, Ion Victor Gosea
Balanced Singular Perturbation Approximation (SPA) is a model order reduction method for linear time-invariant systems that guarantees asymptotic stability and for which there exis…
Practical challenges in data-driven interpolation: dealing with noise, enforcing stability, and computing realizations
Quirin Aumann, Ion Victor Gosea
In this contribution, we propose a detailed study of interpolation-based data-driven methods that are of relevance in the model reduction and also in the systems and control commun…