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03/22/2023
Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems
An essential tool in data-driven modeling of dynamical systems from freq...
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03/09/2023
Data-driven and low-rank implementations of Balanced Singular Perturbation Approximation
Balanced Singular Perturbation Approximation (SPA) is a model order redu...
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01/12/2023
Practical challenges in data-driven interpolation: dealing with noise, enforcing stability, and computing realizations
In this contribution, we propose a detailed study of interpolation-based...
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02/19/2022
Data-driven approximation and reduction from noisy data in matrix pencil frameworks
This work aims at tackling the problem of learning surrogate models from...
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12/02/2021
A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits
In this contribution, we propose a data-driven procedure to fit quadrati...
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10/18/2021
Structured vector fitting framework for mechanical systems
In this paper, we develop a structure-preserving formulation of the data...
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08/26/2021
Data-driven modeling and control of large-scale dynamical systems in the Loewner framework
In this contribution, we discuss the modeling and model reduction framew...
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04/21/2021
Reduced-order modeling of LPV systems in the Loewner framework
We propose a model reduction method for LPV systems. We consider LPV sta...
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04/02/2021
Data-driven balancing of linear dynamical systems
We present a novel reformulation of balanced truncation, a classical mod...
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03/30/2021
Parametric model reduction via rational interpolation along parameters
We present a novel projection-based model reduction framework for parame...
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03/06/2021
Factorization of the Loewner matrix pencil and its consequences
This paper starts by deriving a factorization of the Loewner matrix penc...
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02/25/2021
Data-driven modeling of linear dynamical systems with quadratic output in the AAA framework
We extend the AAA (Adaptive-Antoulas-Anderson) algorithm to develop a da...
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11/25/2020
Learning reduced-order models of quadratic control systems from input-output data
In this paper, we address an extension of the Loewner framework for lear...
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05/20/2020
The AAA framework for modeling linear dynamical systems with quadratic output
We consider linear dynamical systems with quadratic output. We first def...
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05/06/2020
Rational approximation of the absolute value function from measurements: a numerical study of recent methods
In this work, we propose an extensive numerical study on approximating t...
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03/13/2020
Toward fitting structured nonlinear systems by means of dynamic mode decomposition
The dynamic mode decomposition (DMD) is a data-driven method used for id...
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03/13/2020