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Data-Driven Balancing of Linear Dynamical Systems

https://doi.org/10.1137/21M1411081

Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher (February 2022, SIAM Journal on Scientific Computing)

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Data-Driven Modeling of Linear Dynamical Systems with Quadratic Output in the AAA Framework

https://doi.org/10.1007/s10915-022-01771-5

Gosea, Ion Victor; Gugercin, Serkan (February 2022, Journal of Scientific Computing)

Abstract We extend the Adaptive Antoulas-Anderson () algorithm to develop a data-driven modeling framework for linear systems with quadratic output (). Such systems are characterized by two transfer functions: one corresponding to the linear part of the output and another one to the quadratic part. We first establish the joint barycentric representations and the interpolation theory for the two transfer functions of systems. This analysis leads to the proposed algorithm. We show that by interpolating the transfer function values on a subset of samples together with imposing a least-squares minimization on the rest, we construct reliable data-driven models. Two numerical test cases illustrate the efficiency of the proposed method.
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Structured vector fitting framework for mechanical systems

https://doi.org/10.1016/j.ifacol.2022.09.089

Werner, Steffen W.R.; Gosea, Ion Victor; Gugercin, Serkan (January 2022, IFAC-PapersOnLine)

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The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems

https://doi.org/10.1002/pamm.202000337

Karachalios, Dimitrios S.; Gosea, Ion Victor; Antoulas, Athanasios C. (January 2021, PAMM)
null (Ed.)
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Model reduction of linear hybrid systems

https://doi.org/10.1109/CDC42340.2020.9303918

Gosea, Ion Victor; Petreczky, Mihaly; Leth, John; Wisniewski, Rafael; Antoulas, Athanasios C. (December 2020, Conference on Decision and Control)
null (Ed.)
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A two-sided iterative framework for model reduction of linear systems with quadratic output

https://doi.org/10.1109/CDC40024.2019.9030025

Gosea, Ion Victor; Antoulas, Athanasios C. (December 2019, European Control Conference)

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Preserving the DAE structure in the Loewner model reduction and identification framework

https://doi.org/10.1007/s10444-020-09752-8

Gosea, Ion Victor; Zhang, Qiang; Antoulas, Athanasios C. (February 2020, Advances in Computational Mathematics)

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Model order reduction of bilinear time-delay systems

https://doi.org/10.23919/ECC.2019.8796085

Gosea, Ion Victor; Duff, Igor Pontes; Benner, Peter; Antoulas, Athanasios C. (June 2019, European Control Conference)

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