9 citations · 47 across the 37 of their papers we have counts for
8 papers · 1 filter
A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits
Dimitrios S. Karachalios, Ion Victor Gosea, Athanasios C. Antoulas
In this contribution, we propose a data-driven procedure to fit quadratic-bilinear surrogate models from data. Although the dynamics characterizing the original model are strongly…
Structured vector fitting framework for mechanical systems
Steffen W. R. Werner, Ion Victor Gosea, Serkan Gugercin
In this paper, we develop a structure-preserving formulation of the data-driven vector fitting algorithm for the case of modally damped mechanical systems. Using the structured pol…
Data-driven modeling and control of large-scale dynamical systems in the Loewner framework
Ion Victor Gosea, Charles Poussot-Vassal, Athanasios C. Antoulas
In this contribution, we discuss the modeling and model reduction framework known as the Loewner framework. This is a data-driven approach, applicable to large-scale systems, which…
Reduced-order modeling of LPV systems in the Loewner framework
Ion Victor Gosea, Mihaly Petreczky, Athanasios C. Antoulas
We propose a model reduction method for LPV systems. We consider LPV state-space representations with an affine dependence on the scheduling variables. The main idea behind the pro…
Data-driven balancing of linear dynamical systems
Ion Victor Gosea, Serkan Gugercin, Christopher Beattie
We present a novel reformulation of balanced truncation, a classical model reduction method. The principal innovation that we introduce comes through the use of system response dat…
Parametric model reduction via rational interpolation along parameters
Ion Victor Gosea, Serkan Gugercin, Benjamin Unger
We present a novel projection-based model reduction framework for parametric linear time-invariant systems that allows interpolating the transfer function at a given frequency poin…
Factorization of the Loewner matrix pencil and its consequences
Qiang Zhang, Ion Victor Gosea, Athanasios C. Antoulas
This paper starts by deriving a factorization of the Loewner matrix pencil that appears in the data-driven modeling approach known as the Loewner framework and explores its consequ…
Data-driven modeling of linear dynamical systems with quadratic output in the AAA framework
Ion Victor Gosea, Serkan Gugercin
We extend the AAA (Adaptive-Antoulas-Anderson) algorithm to develop a data-driven modeling framework for linear systems with quadratic output (LQO). Such systems are characterized…