2023

• Maryam Nezami and Dimitrios S. Karachalios and Georg Schildbach and Hossam S. Abbas: On the Design of Nonlinear MPC and LPVMPC for Obstacle Avoidance in Autonomous Driving. in International Conference on Control, Decision and Information Technologies (CoDIT)(accepted), Italy, July, 2023
  

  @Inproceedings{Nezami2023,
  author = {Maryam Nezami and Dimitrios S. Karachalios and Georg Schildbach and Hossam S. Abbas},
  title = {On the Design of Nonlinear MPC and LPVMPC for Obstacle Avoidance in Autonomous Driving},
  booktitle = {International Conference on Control, Decision and Information Technologies (CoDIT)(accepted)},
  year = {2023},
  month = {July},
  organization = {IEEE},
  address = {Italy}
  }
  

2021

• Gosea, Ion Victor and Karachalios, Dimitrios S. and Antoulas, Athanasios C.: Learning reduced-order models of quadratic dynamical systems from input-output data. in 2021 European Control Conference (ECC), pp. 1426-1431, 2021
  

  @INPROCEEDINGS{9654993,
    author={Gosea, Ion Victor and Karachalios, Dimitrios S. and Antoulas, Athanasios C.},
    booktitle={2021 European Control Conference (ECC)}, 
    title={Learning reduced-order models of quadratic dynamical systems from input-output data}, 
    year={2021},
    volume={},
    number={},
    pages={1426-1431},
    doi={10.23919/ECC54610.2021.9654993}
  }
  

2023

• Ion Victor Gosea and Luka A. Živković and Dimitrios S. Karachalios and Tanja Vidaković-Koch and Athanasios C. Antoulas: A data-driven nonlinear frequency response approach based on the Loewner framework: preliminary analysis. IFAC-PapersOnLine, no. 56, pp. 234-239, 2023
  

  @article{GOSEA2023234,
  title = {A data-driven nonlinear frequency response approach based on the Loewner framework: preliminary analysis},
  journal = {IFAC-PapersOnLine},
  volume = {56},
  number = {1},
  pages = {234-239},
  year = {2023},
  note = {12th IFAC Symposium on Nonlinear Control Systems NOLCOS 2022},
  issn = {2405-8963},
  doi = {https://doi.org/10.1016/j.ifacol.2023.02.040},
  url = {https://www.sciencedirect.com/science/article/pii/S2405896323002288},
  author = {Ion Victor Gosea and Luka A. Živković and Dimitrios S. Karachalios and Tanja Vidaković-Koch and Athanasios C. Antoulas},
  keywords = {Data-Driven Methods, Nonlinear Dynamics, Nonlinear Frequency Response, Transfer Functions, Frequency Response Functions, Model Reduction, Non-intrusive Approach}
  }
  

2022

• Dimitrios S. Karachalios and Ion Victor Gosea and Athanasios C. Antoulas: A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits. IFAC-PapersOnLine, no. 55, pp. 7-12, 2022
  

  @article{KARACHALIOS20227,
  title = {A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits},
  journal = {IFAC-PapersOnLine},
  volume = {55},
  number = {20},
  pages = {7-12},
  year = {2022},
  note = {10th Vienna International Conference on Mathematical Modelling MATHMOD 2022},
  issn = {2405-8963},
  doi = {https://doi.org/10.1016/j.ifacol.2022.09.064},
  url = {https://www.sciencedirect.com/science/article/pii/S2405896322012459},
  author = {Dimitrios S. Karachalios and Ion Victor Gosea and Athanasios C. Antoulas},
  keywords = {Data-Driven, Non-Intrusive Modeling, Model Order Reduction, Nonlinear Dynamics, Quadratic-Bilinear Systems, System Identification, Lift, Learn Approach}
  }
  

2021

• Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.: The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems. PAMM, no. 20, pp. e202000337, 2021
  

  @article{https://doi.org/10.1002/pamm.202000337,
  author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.},
  title = {The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems},
  journal = {PAMM},
  volume = {20},
  number = {1},
  pages = {e202000337},
  doi = {https://doi.org/10.1002/pamm.202000337},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202000337},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202000337},
  year = {2021}
  }
  

• Gosea, Ion Victor and Karachalios, Dimitrios S. and Antoulas, Athanasios C.: On computing reduced-order bilinear models from time-domain data. PAMM, no. 21, pp. e202100254, 2021
  

  @article{https://doi.org/10.1002/pamm.202100254,
  author = {Gosea, Ion Victor and Karachalios, Dimitrios S. and Antoulas, Athanasios C.},
  title = {On computing reduced-order bilinear models from time-domain data},
  journal = {PAMM},
  volume = {21},
  number = {1},
  pages = {e202100254},
  doi = {https://doi.org/10.1002/pamm.202100254},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202100254},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202100254},
  year = {2021}
  }
  

• Peter Benner and Yevgeniya Filanova and Dimitrios Karachalios and Shaimaa Monem Abdelhafez and Jennifer Przybilla and Steffen W. R. Werner: Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung, no. 29, pp. 198-204, 2021
  

  @article{BennerFilanovaKarachaliosMonemAbdelhafezPrzybillaWerner+2021+198+204,
  url = {https://doi.org/10.1515/dmvm-2021-0075},
  title = {Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme},
  author = {Peter Benner and Yevgeniya Filanova and Dimitrios Karachalios and Shaimaa Monem Abdelhafez and Jennifer Przybilla and Steffen W. R. Werner},
  pages = {198--204},
  volume = {29},
  number = {4},
  journal = {Mitteilungen der Deutschen Mathematiker-Vereinigung},
  doi = {doi:10.1515/dmvm-2021-0075},
  year = {2021},
  lastchecked = {2023-04-17}
  }
  

• Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.: Data-driven (Bilinear) identification and reduction. PAMM, no. 20, pp. e202000346, 2021
  

  @article{https://doi.org/10.1002/pamm.202000346,
  author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.},
  title = {Data-driven (Bilinear) identification and reduction},
  journal = {PAMM},
  volume = {20},
  number = {S1},
  pages = {e202000346},
  doi = {https://doi.org/10.1002/pamm.202000346},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202000346},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202000346},
  year = {2021}
  }
  

2019

• Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.: A bilinear identification-modeling framework from time domain data. PAMM, no. 19, pp. e201900246, 2019
  

  @article{https://doi.org/10.1002/pamm.201900246,
  author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.},
  title = {A bilinear identification-modeling framework from time domain data},
  journal = {PAMM},
  volume = {19},
  number = {1},
  pages = {e201900246},
  doi = {https://doi.org/10.1002/pamm.201900246},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201900246},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201900246},
  year = {2019}
  }
  

2018

• Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.: Data-driven approximation methods applied to non-rational functions. PAMM, no. 18, pp. e201800368, 2018
  

  @article{https://doi.org/10.1002/pamm.201800368,
  author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.},
  title = {Data-driven approximation methods applied to non-rational functions},
  journal = {PAMM},
  volume = {18},
  number = {1},
  pages = {e201800368},
  doi = {https://doi.org/10.1002/pamm.201800368},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201800368},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201800368},
  year = {2018}
  }
  

2021

• Karachalios, D. S. 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, Springer International Publishing,, Cham,, 2021
  

  @Inbook{Karachalios2021,
  author="Karachalios, D. S.
  and Gosea, I. V.
  and Antoulas, A. C.",
  editor="Benner, Peter
  and Breiten, Tobias
  and Fa{\ss}bender, Heike
  and Hinze, Michael
  and Stykel, Tatjana
  and Zimmermann, Ralf",
  title="On Bilinear Time-Domain Identification and Reduction in the Loewner Framework",
  bookTitle="Model Reduction of Complex Dynamical Systems",
  year={2021},
  publisher="Springer International Publishing",
  address="Cham",
  pages={3-30},
  doi="10.1007/978-3-030-72983-7_1",
  url="https://doi.org/10.1007/978-3-030-72983-7_1"
  }
  

• Dimitrios S. Karachalios and Ion Victor Gosea and Athanasios C. Antoulas: 6 The Loewner framework for system identification and reduction. in Volume 1 System- and Data-Driven Methods and Algorithms, pp. 181-228, De Gruyter, Berlin, Boston, 2021
  

  @inbook{KarachaliosGoseaAntoulas+2021+181+228,
  url = {https://doi.org/10.1515/9783110498967-006},
  title = {6 The Loewner framework for system identification and reduction},
  booktitle = {Volume 1 System- and Data-Driven Methods and Algorithms},
  author = {Dimitrios S. Karachalios and Ion Victor Gosea and Athanasios C. Antoulas},
  editor = {Peter Benner and Stefano Grivet-Talocia and Alfio Quarteroni and Gianluigi Rozza and Wil Schilders and Luís Miguel Silveira},
  publisher = {De Gruyter},
  address = {Berlin, Boston},
  pages = {181--228},
  doi = {doi:10.1515/9783110498967-006},
  isbn = {9783110498967},
  year = {2021},
  lastchecked = {2023-04-17}
  }
  

2022

• Karachalios, D. S. and Gosea, I. V. and Gkimisis, L. and Antoulas, A. C.: Data-driven quadratic modeling in the Loewner framework. arXiv, 2022
  

  @misc{KGGA2022,
    doi = {10.48550/ARXIV.2211.10635},
    url = {https://arxiv.org/abs/2211.10635},
    author = {Karachalios, D. S. and Gosea, I. V. and Gkimisis, L. and Antoulas, A. C.},
    keywords = {Dynamical Systems (math.DS), FOS: Mathematics, FOS: Mathematics, 93B15, 93C15, 93C10, 65F45},
    title = {Data-driven quadratic modeling in the Loewner framework},
    publisher = {arXiv},
    note = {Submitted to SIADS Journal 17.11.2022, status: In Review},
    year = {2022},
    copyright = {arXiv.org perpetual, non-exclusive license}
  }
  

• Dimitrios S. Karachalios and Ion Victor Gosea and Kirandeep Kour and Athanasios C. Antoulas: Bilinear realization from input-output data with neural networks. 2022
  

  @misc{karachalios2022bilinear,
        title={Bilinear realization from input-output data with neural networks}, 
        author={Dimitrios S. Karachalios and Ion Victor Gosea and Kirandeep Kour and Athanasios C. Antoulas},
        year={2022},
        eprint={2208.10124},
        archivePrefix={arXiv},
        primaryClass={math.DS}
  }
  

2017

• D. S. Karachalios and I. V. Gosea and Q. Zhang and A. C. Antoulas: Case study: Approximations of the Bessel Function. 2017
  

  @misc{karachalios2017case,
        title={Case study: Approximations of the Bessel Function}, 
        author={D. S. Karachalios and I. V. Gosea and Q. Zhang and A. C. Antoulas},
        year={2017},
        eprint={1801.03390},
        archivePrefix={arXiv},
        primaryClass={math.NA}
  }