Publications of the DRI group

Journal Article (7)

1.
Journal Article
Gosea, I. V.; Zhang, Q.; Antoulas, A. C.: Preserving the DAE Structure in the Loewner Model Reduction and Identification Framework. Advances in Computational Mathematics 46, 3 (2020)
2.
Journal Article
Antoulas, A. C.; Benner, P.; Feng, L.: Model Reduction by Iterative Error System Approximation. Mathematical and Computer Modelling of Dynamical Systems 24 (2), pp. 103 - 118 (2018)
3.
Journal Article
Antoulas, A. C.; Zhu, B.; Zhang, Q.; York, B.; O'Malley, B. W.; Dacso, C. C.: A novel mathematical method for disclosing oscillations in gene transcription: A comparative study. PLoS ONE 13 (9), e0198503 (2018)
4.
Journal Article
Gosea, I. V.; Petreczky, M.; Antoulas, A. C.: Data-Driven Model Order Reduction of Linear Switched Systems in the Loewner Framework. SIAM Journal on Scientific Computing 40 (2), pp. B572 - B610 (2018)
5.
Journal Article
Gosea, I. V.; Antoulas, A. C.: Data‐driven model order reduction of quadratic‐bilinear systems. Numerical Linear Algebra with Applications: Special Issue: 7th Workshop on Matrix Equations and Tensor Techniques 25 (6), e2200 (2018)
6.
Journal Article
Gosea, I. V.; Petreczky, M.; Antoulas, A. C.; Fiter, C.: Balanced truncation for linear switched systems. Advances in Computational Mathematics 44 (6), pp. 1845 - 1886 (2018)
7.
Journal Article
Zhu, B.; Zhang, Q.; Pan, Y.; Mace, E. M.; York, B.; Antoulas, A. C.; Dacso, C. C.; O’Malley, B. W.: A Cell-Autonomous Mammalian 12 hr Clock Coordinates Metabolic and Stress Rhythms. Cell Metabolism 25 (6), pp. 1305 - 1319.e9 (2017)

Book Chapter (7)

8.
Book Chapter
Antoulas, A. C.; Gosea, I. V.; Heinkenschloss, M.: Data-Driven Model Reduction for a Class of Semi-Explicit DAEs Using the Loewner Framework. In: Progress in Differential-Algebraic Equations II, pp. 185 - 210 (Eds. Reis, T.; Grundel, S.; Schöps, S.). Springer, Cham (2020)
9.
Book Chapter
Gosea, I. V.; Pontes Duff, I.: Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten , T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser/Springer Nature, Cham, Switzerland (accepted)
10.
Book Chapter
Gosea, I. V.; Pontes Duff, I.; Benner, P.; Antoulas, A. C.: Model Order Reduction of Switched Linear Systems with Constrained Switching. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 41 - 53 (Eds. Fehr, J.; Haasdonk, B.) (2020)
11.
Book Chapter
Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: On Bilinear Time Domain Identification and Reduction in the Loewner Framework. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser/Springer Nature, Cham, Switzerland (accepted)
12.
Book Chapter
Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: The Loewner Framework for System Identification and Reduction. In: Model Reduction Handbook: Volume I: System- and Data-Driven Methods and Algorithms (Eds. Benner, P.; Schilders, W.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G. et al.). De Gruyter (accepted)
13.
Book Chapter
Petreczky, M.; Gosea, I. V.: Model reduction and realization theory of linear switched systems. In: Realization and Model Reduction of Dynamical Systems – A Festschrift in Honor of 70th Birthday of Thanos Antoulas (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer (accepted)
14.
Book Chapter
Antoulas, A. C.; Gosea, I. V.; Heinkenschloss, M.: On the Loewner Framework for Model Reduction of Burgers’ Equation. In: Active Flow and Combustion Control 2018, pp. 255 - 270 (Ed. King, R.). Springer, Cham, Switzerland (2019)

Conference Paper (8)

15.
Conference Paper
Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems. 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Kassel, March 16, 2020 - March 20, 2020. Proceedings in Applied Mathematics & Mechanics 20 (1), e202000337, (2021)
16.
Conference Paper
Gosea, I. V.; Petreczky, M.; Leth, J.; Wisniewski, R.; Antoulas, A. C.: Model Reduction of Linear Hybrid Systems. In: 2020 59th IEEE Conference on Decision and Control (CDC), 9303918, pp. 110 - 117. 59th IEEE Conference on Decision and Control (CDC), Jeju Island, Korea (South), December 14, 2020 - December 18, 2020. IEEE (2020)
17.
Conference Paper
Gosea, I. V.; Antoulas, A. C.: A Two-Sided Iterative Framework for Model Reduction of Linear Systems with Quadratic Output. In: 2019 IEEE 58th Conference on Decision and Control (CDC), 9030025, pp. 7812 - 7817. IEEE 58th Conference on Decision and Control (CDC), Nice, France, December 11, 2019 - December 13, 2019. IEEE (2019)
18.
Conference Paper
Gosea, I. V.; Antoulas, A. C.: A note on modeling some classes of nonlinear systems from data. In: XVth International Conference on Computational Plasticity. Fundamentals and Applications: COMPLAS 2019; 3-5 September 2019, Barcelona, Spain., pp. 145 - 156 (Eds. Oñate, E.; Owen, D. R. J.; Peric, D.; Chiumen, M.; de Souza Neto, E.). 15th International Conference on Computational Plasticity. Fundamentals and Applications, Barcelona, Spain, September 03, 2019 - September 05, 2019. (2019)
19.
Conference Paper
Gosea, I. V.; Pontes Duff, I.; Benner, P.; Antoulas, A. C.: Model Order Reduction of Bilinear Time-Delay Systems. In: 18th European Control Conference (ECC), pp. 2289 - 2294. 18th European Control Conference (ECC), Naples, Italy, June 25, 2019 - June 28, 2019. IEEE (2019)
20.
Conference Paper
Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: A Bilinear Identification-Modeling Framework from Time Domain Data. 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Vienna, Austria, February 18, 2019 - February 22, 2019. Proceedings in Applied Mathematics and Mechanics 19 (1), e201900246, (2019)
21.
Conference Paper
Gosea, I. V.; Antoulas, A. C.: On the H2 norm and iterative model order reduction of linear switched systems. In: 2018 European Control Conference (ECC), pp. 2983 - 2988. 18th European Control Conference, ECC 2018, Limassol, Cyprus, June 12, 2018 - June 15, 2018. IEEE, Piscataway, NJ, USA (2018)
22.
Conference Paper
Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: Data‐driven approximation methods applied to non‐rational functions. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)

Meeting Abstract (2)

23.
Meeting Abstract
Antoulas, A. C.; Gosea, I. V.; Heinkenschloss, M.: Reduction of Systems with Polynomial Nonlinearities in the Loewner Framework. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 96 - 98. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
24.
Meeting Abstract
Gosea, I. V.; Petreczky, M.; Fiter, C.; Antoulas, A. C.: Balanced Truncation for Linear Switched Systems. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 196 - 198. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)

Poster (3)

25.
Poster
Gosea, I. V.; Zhang, Q.; Antoulas, A. C.: Data‐driven modeling from noisy measurements. 7th GAMM Juniors' Summer School on Applied Mathematics and Mechanics (SAMM), Magdeburg, Germany (2021)
26.
Poster
Gosea, I. V.; Antoulas, A. C.: Learning block-oriented nonlinear models of dynamical systems from data. Workshop on Algorithms for Dimension and Complexity Reduction, ICERM, Providence, RI, USA (2020)
27.
Poster
Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: The Loewner frame-work between compression, iteration and optimal selection. Model Order Reduction Summer School, Hamburg, Germany (2018)

Working Paper (13)

28.
Working Paper
Gosea, I. V.; Petreczky, M.; Antoulas, A. C.: Reduced-order modeling of LPV systems in the Loewner framework. (2021)
29.
Working Paper
Gosea, I. V.; Gugercin, S.; Beattie, C.: Data-driven balancing of linear dynamical systems. (2021)
30.
Working Paper
Gosea, I. V.; Gugercin, S.; Unger, B.: Parametric model reduction via rational interpolation along parameters. (2021)
31.
Working Paper
Zhang, Q.; Gosea, I. V.; Antoulas, A. C.: Factorization of the Loewner matrix pencil and its consequences. (2021)
32.
Working Paper
Gosea, I. V.; Gugercin, S.: Data-driven modeling of linear dynamical systems with quadratic output in the AAA framework. (2021)
33.
Working Paper
Gosea, I. V.; Karachalios, D.; Antoulas, A. C.: Learning reduced-order models of quadratic control systems from input-output data. (2020)
34.
Working Paper
Gosea, I. V.; Poussot-Vassal, C.; Antoulas, A. C.: On Loewner data-driven control for infinite-dimensional systems. (2020)
35.
Working Paper
Gosea, I. V.; Antoulas, A. C.: Rational approximation of the absolute value function from measurements: a numerical study of recent methods. (2020)
36.
Working Paper
Gosea, I. V.; Güttel, S.: Algorithms for the Rational Approximation of Matrix-Valued Functions. (2020)
37.
Working Paper
Khodkar, M. A.; Hassanzadeh, P.; Antoulas, A. C.: A Koopman-based Framework for Forecasting the Spatiotemporal Evolution of Chaotic Dynamics with Nonlinearities Modeled as Exogenous Forcings. (2019)
38.
Working Paper
Khodkar, M. A.; Antoulas, A. C.; Hassanzadeh, P.: Data-driven Spatio-temporal Prediction of High-dimensional Geophysical Turbulence using Koopman Operator Approximation. (2018)
39.
Working Paper
Karachalios, D.; Gosea, I. V.; Zhang, Q.; Antoulas, A. C.: Case study: Approximations of the Bessel Function. (2017)
40.
Working Paper
Gosea, I. V.; Antoulas, A. C.: Approximation of a damped Euler-Bernoulli beam model in the Loewner framework. (2017)
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