Publications of the DRI group

Rüther, T.; Gosea, I. V.; Jahn, L.; Antoulas, A. C.; Danzer, M. A.: Introducing the Loewner Method as a Data-Driven and Regularization-Free Approach for the Distribution of Relaxation Times Analysis of Lithium-Ion Batteries. batteries 9 (2), 132 (2023)

Benner, P.; Filanova, Y.; Karachalios, D.; Monem Abdelhafez, S.; Przybilla, J.; Werner, S. W. R.: Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (4), pp. 198 - 204 (2022)

Gosea, I. V.: Exact and Inexact Lifting Transformations of Nonlinear Dynamical Systems: Transfer Functions, Equivalence, and Complexity Reduction. Applied Sciences 12 (5), 2333 (2022)

Gosea, I. V.; Gugercin, S.: Data-driven modeling of linear dynamical systems with quadratic output in the AAA framework. Journal of Scientific Computing 91, 16 (2022)

Gosea, I. V.; Gugercin, S.; Beattie, C.: Data-driven balancing of linear dynamical systems. SIAM Journal on Scientific Computing 44 (1), pp. A554 - A582 (2022)

Gosea, I. V.; Güttel, S.: Algorithms for the Rational Approximation of Matrix-Valued Functions. SIAM Journal on Scientific Computing 43 (5), pp. A3033 - A3054 (2021)

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)

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)

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)

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)

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)

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)

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)

Gosea, I. V.; Poussot-Vassal, C.; Antoulas, A. C.: 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)

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, pp. 197 - 212 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer (2022)

Gosea, I. V.; Pontes Duff, I.: 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)

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, pp. 3 - 30 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: 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)

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)

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)

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)

Gosea, I. V.; Živković, L. A.; Karachalios, D.; Vidaković-Koch, T.; Antoulas, A. C.: A data-driven nonlinear frequency response approach based on the Loewner framework: preliminary analysis. IFAC-PapersOnLine 56, pp. 234 - 239 (2023)

Zuyev, A.; Gosea, I. V.: Approximating a Flexible Beam Model in the Loewner Framework. In: 2023 European Control Conference, Code 190820. 2023 European Control Conference, Bucharest, Romania, June 13, 2023 - June 16, 2023. IEEE (2023)

Gosea, I. V.; Antoulas, A. C.: 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 55 (30), pp. 377 - 382 (2022)

Gosea, I. V.; Pontes Duff, I.: 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)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: 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 55 (20), pp. 7 - 12 (2022)

Kergus, P.; Gosea, I. V.: 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 55 (30), pp. 371 - 376 (2022)

Werner, S. W. R.; Gosea, I. V.; Gugercin, S.: 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 55 (20), pp. 163 - 168 (2022)

Gosea, I. V.; Gugercin, S.; Unger, B.: 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)

Gosea, I. V.; Karachalios, D.; Antoulas, A. C.: 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)

Gosea, I. V.; Karachalios, D.; Antoulas, A. C.: 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 21 (1), e202100254, (2021)

Gosea, I. V.; Petreczky, M.; Antoulas, A. C.: 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)

Gosea, I. V.; Poussot-Vassal, C.; Antoulas, A. C.: 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)

Gosea, I. V.; Poussot-Vassal, C.; Antoulas, A. C.: 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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: Data-driven (Bilinear) identification and reduction. 7th GAMM Juniors' Summer School on Applied Mathematics and Mechanics (SAMM), Magdeburg, Germany (2021)

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)

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)

Karachalios, D.: Data-driven System Reduction and Identification from Input-Output Time-Domain Data with the Loewner Framework. Dissertation, Otto-von-Guericke University, Magdeburg (2023)

Aumann, Q.; Gosea, I. V.: Practical Challenges in Data-Driven Interpolation: Dealing with Noise, enforcing Stability, and Computing Realizations. (2023)