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04/27/2023
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems
High-dimensional/high-fidelity nonlinear dynamical systems appear natura...
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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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09/01/2022
A Unifying Framework for Interpolatory ℒ_2-optimal Reduced-order Modeling
We develop a unifying framework for interpolatory ℒ_2-optimal reduced-or...
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06/06/2022
ℒ_2-optimal Reduced-order Modeling Using Parameter-separable Forms
We provide a unifying framework for ℒ_2-optimal reduced-order modeling f...
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06/03/2022
A unifying framework for tangential interpolation of structured bilinear control systems
In this paper, we consider the structure-preserving model order reductio...
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11/25/2021
Model Reduction of Linear Dynamical Systems via Balancing for Bayesian Inference
We consider the Bayesian approach to the linear Gaussian inference probl...
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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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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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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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02/09/2021
Structure-preserving Model Reduction of Parametric Power Networks
We develop a structure-preserving parametric model reduction approach fo...
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12/29/2020
Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach
Contour integral methods for nonlinear eigenvalue problems seek to compu...
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07/22/2020
Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems
In this paper, we present an interpolation framework for structure-prese...
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07/12/2020
Randomization for the Efficient Computation of Parametric Reduced Order Models for Inversion
Nonlinear parametric inverse problems appear in many applications. Here,...
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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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05/02/2020
Structure-Preserving Interpolation of Bilinear Control Systems
In this paper, we extend the structure-preserving interpolatory model re...
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03/14/2020
The p-AAA algorithm for data driven modeling of parametric dynamical systems
The AAA algorithm has become a popular tool for data-driven rational app...
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12/27/2019
Estimating Dispersion Curves from Frequency Response Functions via Vector-Fitting
Driven by the need for describing and understanding wave propagation in ...
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12/24/2019
Sampling-free parametric model reduction for structured systems
We consider the reduction of parametric families of linear dynamical sys...
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10/13/2019
Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems
We examine interpolatory model reduction methods that are well-suited fo...
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09/30/2019
H_2-gap model reduction for stabilizable and detectable systems
We formulate here an approach to model reduction that is well-suited for...
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06/10/2017