Publications of the DRI group
Journal Article (17)
1.
Journal Article
24 (1), pp. 457 - 500 (2025)
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements. SIAM Journal on Applied Dynamical Systems 2.
Journal Article
Practical Challenges in Data-Driven Interpolation: Dealing with Noise, enforcing Stability, and Computing Realizations. International Journal of Adaptive Control and Signal Processing (2023)
3.
Journal Article
49, 95 (2023)
Interpolatory Model Reduction of Quadratic-Bilinear Dynamical Systems with Quadratic-Bilinear Outputs. Advances in Computational Mathematics 4.
Journal Article
9 (2), 132 (2023)
Introducing the Loewner Method as a Data-Driven and Regularization-Free Approach for the Distribution of Relaxation Times Analysis of Lithium-Ion Batteries. batteries 5.
Journal Article
585, 233575 (2023)
Determination of the distribution of relaxation times through Loewner framework: A direct and versatile approach. Journal of Power Sources 6.
Journal Article
29 (4), pp. 198 - 204 (2022)
Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung 7.
Journal Article
12 (5), 2333 (2022)
Exact and Inexact Lifting Transformations of Nonlinear Dynamical Systems: Transfer Functions, Equivalence, and Complexity Reduction. Applied Sciences 8.
Journal Article
91, 16 (2022)
Data-driven modeling of linear dynamical systems with quadratic output in the AAA framework. Journal of Scientific Computing 9.
Journal Article
44 (1), pp. A554 - A582 (2022)
Data-driven balancing of linear dynamical systems. SIAM Journal on Scientific Computing 10.
Journal Article
43 (5), pp. A3033 - A3054 (2021)
Algorithms for the Rational Approximation of Matrix-Valued Functions. SIAM Journal on Scientific Computing 11.
Journal Article
46, 3 (2020)
Preserving the DAE Structure in the Loewner Model Reduction and Identification Framework. Advances in Computational Mathematics 12.
Journal Article
24 (2), pp. 103 - 118 (2018)
Model Reduction by Iterative Error System Approximation. Mathematical and Computer Modelling of Dynamical Systems 13.
Journal Article
13 (9), e0198503 (2018)
A novel mathematical method for disclosing oscillations in gene transcription: A comparative study. PLoS ONE 14.
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 15.
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 16.
Journal Article
44 (6), pp. 1845 - 1886 (2018)
Balanced truncation for linear switched systems. Advances in Computational Mathematics 17.
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 (9)
18.
Book Chapter
Bilinear realization from input-output data with neural networks. In: Scientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022, pp. 184 - 192 (Eds. van Beurden, M.; Budko, N. V.; Ciuprina, G.; Schilders, W.; Bansal, H. et al.). Springer, Cham (2024)
19.
Book Chapter
Data-driven modeling and control of large-scale dynamical systems in the Loewner framework: Methodology and applications. In: Numerical Control: Part A, pp. 499 - 530 (Eds. Trélat, E.; Zuazua, E.). Elsevier (2022)
20.
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, pp. 197 - 212 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer (2022)
21.
Book Chapter
Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition. In: Model Reduction of Complex Dynamical Systems, pp. 53 - 74 (Eds. Benner, P.; Breiten , T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)
22.
Book Chapter
On Bilinear Time Domain Identification and Reduction in the Loewner Framework. In: Model Reduction of Complex Dynamical Systems, pp. 3 - 30 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)
23.
Book Chapter
The Loewner Framework for System Identification and Reduction. In: Model Order Reduction: Volume I: System- and Data-Driven Methods and Algorithms, pp. 181 - 228 (Eds. Benner, P.; Schilders, W.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G. et al.). De Gruyter, Berlin, Boston (2021)
24.
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)
25.
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)
26.
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 (21)
27.
Conference Paper
56 (1), pp. 234 - 239 (2023)
A data-driven nonlinear frequency response approach based on the Loewner framework: preliminary analysis. IFAC-PapersOnLine 28.
Conference Paper
Approximating a Flexible Beam Model in the Loewner Framework. In: 2023 European Control Conference, pp. 1 - 7. 2023 European Control Conference, Bucharest, Romania, June 13, 2023 - June 16, 2023. IEEE, Boca Raton (2023)
29.
Conference Paper
55 (30), pp. 377 - 382 (2022)
The one-sided Loewner framework and connections to other model reduction methods based on interpolation. 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022, Bayreuth, Germany, September 12, 2022 - September 16, 2022. IFAC-PapersOnLine 30.
Conference Paper
An iterative realization-free approach for model reduction of bilinear systems via Hermitian interpolation. In: 2022 European Control Conference, pp. 584 - 589. 2022 European Control Conference, London, UK, July 12, 2022 - July 15, 2022. IEEE, Boca Raton (2022)
31.
Conference Paper
55 (20), pp. 7 - 12 (2022)
A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits. 10th Vienna International Conference on Mathematical Modelling - MATHMOD 2022
, Vienna, Austria, July 27, 2022 - July 29, 2022. IFAC-PapersOnLine 32.
Conference Paper
55 (30), pp. 371 - 376 (2022)
Data-driven approximation and reduction from noisy data in matrix pencils frameworks. 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022, Bayreuth, Germany, September 12, 2022 - September 16, 2022. IFAC-PapersOnLine 33.
Conference Paper
55 (20), pp. 163 - 168 (2022)
Structured vector fitting framework for mechanical systems. 10th Vienna International Conference on Mathematical Modelling MATHMOD 2022
, Vienna Austria, July 27, 2022 - July 29, 2022. IFAC-PapersOnLine 34.
Conference Paper
Parametric model reduction via rational interpolation along parameters. In: Proceedings of the IEEE Conference on Decision and Control, pp. 6895 - 6900. 60th IEEE Conference on Decision and Control 2021, Austin, Texas, USA, December 13, 2021 - December 15, 2021. IEEE (2021)
35.
Conference Paper
Learning reduced-order models of quadratic control systems from input-output data. In: 2021 European Control Conference (ECC), pp. 1426 - 1431. 2021 European Control Conference (ECC), Rotterdam, Netherlands/virtual, June 29, 2021 - July 02, 2021. (2021)
36.
Conference Paper
21 (1), e202100254, (2021)
On computing reduced-order bilinear models from time-domain data. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Kassel, March 15, 2021 - March 19, 2021. Proceedings in Applied Mathematics & Mechanics 37.
Conference Paper
Reduced-order modeling of LPV systems in the Loewner framework. In: Proceedings of the IEEE Conference on Decision and Control 2021, pp. 3299 - 3305. 60th IEEE Conference on Decision and Control 2021, Austin, Texas, USA, December 13, 2021 - December 15, 2021. IEEE (2021)
38.
Conference Paper
On Loewner data-driven control for infinite-dimensional systems. In: 2021 European Control Conference (ECC), pp. 93 - 99. ECC 21 - European Control Conference 2021, Rotterdam, Netherlands/virtual, June 29, 2021 - July 02, 2021. (2021)
39.
Conference Paper
On enforcing stability for data-driven reduced-order models. In: 2021 29th Mediterranean Conference on Control and Automation (MED), pp. 487 - 493. 29th Mediterranean Conference on Control and Automation (MED), Bari, Puglia, Italy, June 22, 2021 - June 25, 2021. IEEE (2021)
40.
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 41.
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)
42.
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)
43.
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)
44.
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)
45.
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 46.
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)
47.
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)
48.
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)
49.
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 (4)
50.
Poster
Data‐driven modeling from noisy measurements. 7th GAMM Juniors' Summer School on Applied Mathematics and Mechanics (SAMM), Magdeburg, Germany (2021)