Publications of Dimitrios Karachalios

Benner, P., Filanova, Y., Karachalios, D., Monem Abdelhafez, S., Przybilla, J., & Werner, S. W. R. (2022)Mathematische Komplexitätsreduktion: Modellreduktion dynamischer SystemeMitteilungen der Deutschen Mathematiker-Vereinigung, 29 (4), 198–204doi: 10.1515/dmvm-2021-0075.

Karachalios, D., Gosea, I. V., Kour, K., & Antoulas, A. C. (2024)Bilinear realization from input-output data with neural networksScientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022184–192Cham, Switzerland: Springerdoi: 10.1007/978-3-031-54517-7_21.

Karachalios, D., Gosea, I. V., & Antoulas, A. C. (2021)On Bilinear Time Domain Identification and Reduction in the Loewner FrameworkModel Reduction of Complex Dynamical Systems3–30Cham, Switzerland: Birkhäuserdoi: 10.1007/978-3-030-72983-7_1.

Karachalios, D., Gosea, I. V., & Antoulas, A. C. (2021)The Loewner Framework for System Identification and ReductionModel Order Reduction: Volume I: System- and Data-Driven Methods and Algorithms181–228Berlin, Boston: De Gruyterdoi: 10.1515/9783110498967-006.

Gosea, I. V., Živković, L. A., Karachalios, D., Vidaković-Koch, T., & Antoulas, A. C. (2023)A data-driven nonlinear frequency response approach based on the Loewner framework: preliminary analysisIn: IFAC-PapersOnLine, 234–239doi: 10.1016/j.ifacol.2023.02.040.

Karachalios, D., Gosea, I. V., & Antoulas, A. C. (2022)A framework for fitting quadratic-bilinear systems with applications to models of electrical circuitsIn: IFAC-PapersOnLine, 7–12doi: 10.1016/j.ifacol.2022.09.064.

Gosea, I. V., Karachalios, D., & Antoulas, A. C. (2021)On computing reduced-order bilinear models from time-domain dataIn: Proceedings in Applied Mathematics & Mechanics, e202100254doi: 10.1002/pamm.202100254.

Gosea, I. V., Karachalios, D., & Antoulas, A. C. (2021)Learning reduced-order models of quadratic control systems from input-output dataIn: 2021 European Control Conference (ECC), 1426–1431doi: 10.23919/ECC54610.2021.9654993.

Karachalios, D., Gosea, I. V., & Antoulas, A. C. (2021)The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systemsIn: Proceedings in Applied Mathematics & Mechanics, e202000337doi: 10.1002/pamm.202000337.

Karachalios, D., Gosea, I. V., & Antoulas, A. C. (2019)A Bilinear Identification-Modeling Framework from Time Domain DataIn: Proceedings in Applied Mathematics and Mechanics, e201900246doi: 10.1002/pamm.201900246.

Karachalios, D., Gosea, I. V., & Antoulas, A. C. (2018)Data‐driven approximation methods applied to non‐rational functionsIn: Proceedings in Applied Mathematics and Mechanics, 1–2doi: 10.1002/pamm.201800368.

Karachalios, D., Gosea, I. V., & Antoulas, A. C.Data-driven (Bilinear) identification and reductionPresented at: 7th GAMM Juniors' Summer School on Applied Mathematics and Mechanics (SAMM)Magdeburg, Germany, July 27, 2020.

Karachalios, D., Gosea, I. V., & Antoulas, A. C.The Loewner frame-work between compression, iteration and optimal selectionPresented at: Model Order Reduction Summer SchoolHamburg, Germany, September 24, 2018.

Karachalios, D. (2023)Data-driven System Reduction and Identification from Input-Output Time-Domain Data with the Loewner FrameworkPhD Thesis, Otto-von-Guericke Universität, Magdeburg.

Karachalios, D., Gosea, I. V., Gkimisis, L., & Antoulas, A. C. (in press)Data-driven quadratic modeling in the Loewner framework from input-output time-domain measurements29 pages, 7 figuresdoi: 10.48550/arXiv.2211.10635.

Karachalios, D., Gosea, I. V., Zhang, Q., & Antoulas, A. C. (in press)Case study: Approximations of the Bessel Function.