Publications DRI Group
Journal Article (7)
2020
Journal Article
46, 3 (2020)
Preserving the DAE Structure in the Loewner Model Reduction and Identification Framework. Advances in Computational Mathematics 2018
Journal Article
24 (2), pp. 103 - 118 (2018)
Model Reduction by Iterative Error System Approximation. Mathematical and Computer Modelling of Dynamical Systems
Journal Article
13 (9), e0198503 (2018)
A novel mathematical method for disclosing oscillations in gene transcription: A comparative study. PLoS ONE
Journal Article
40 (2), pp. B572 - B610 (2018)
Data-Driven Model Order Reduction of Linear Switched Systems in the Loewner Framework. SIAM Journal on Scientific Computing
Journal Article
25 (6), e2200 (2018)
Data‐driven model order reduction of quadratic‐bilinear systems. Numerical Linear Algebra with Applications: Special Issue: 7th Workshop on Matrix Equations and Tensor Techniques
Journal Article
44 (6), pp. 1845 - 1886 (2018)
Balanced truncation for linear switched systems. Advances in Computational Mathematics 2017
Journal Article
25 (6), pp. 1305 - 1319.e9 (2017)
A Cell-Autonomous Mammalian 12 hr Clock Coordinates Metabolic and Stress Rhythms. Cell Metabolism Book Chapter (7)
2020
Book Chapter
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)
Book Chapter
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)
Book Chapter
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)
Book Chapter
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)
Book Chapter
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)
Book Chapter
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)
2019
Book Chapter
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)
2021
Conference Paper
20 (1), e202000337, (2021)
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 2020
Conference Paper
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)
2019
Conference Paper
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)
Conference Paper
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)
Conference Paper
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)
Conference Paper
19 (1), e201900246, (2019)
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 2018
Conference Paper
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)
Conference Paper
18 (1), pp. 1 - 2 (2018)
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 Meeting Abstract (2)
2020
Meeting Abstract
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)
Meeting Abstract
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 (2)
2020
Poster
Learning block-oriented nonlinear models of dynamical systems from data. Workshop on Algorithms for Dimension and Complexity Reduction, ICERM, Providence, RI, USA (2020)
2018
Poster
The Loewner frame-work between compression, iteration and optimal selection. Model Order Reduction Summer School, Hamburg, Germany (2018)
Working Paper (8)
2020
Working Paper
Learning reduced-order models of quadratic control systems from input-output data. (2020)
Working Paper
On Loewner data-driven control for infinite-dimensional systems. (2020)
Working Paper
Rational approximation of the absolute value function from measurements: a numerical study of recent methods. (2020)
Working Paper
Algorithms for the Rational Approximation of Matrix-Valued Functions. (2020)
2019
Working Paper
A Koopman-based Framework for Forecasting the Spatiotemporal Evolution of Chaotic Dynamics with Nonlinearities Modeled as Exogenous Forcings. (2019)
2018
Working Paper
Data-driven Spatio-temporal Prediction of High-dimensional Geophysical Turbulence using Koopman Operator Approximation. (2018)
2017
Working Paper
Approximation of a damped Euler-Bernoulli beam model in the Loewner framework. (2017)
Working Paper
Case study: Approximations of the Bessel Function. (2017)