@article{doi:10.1137/22M153567X,
author = {Karachalios, D. S. and Gosea, I. V. and Gkimisis, L. and Antoulas, A. C.},
title = {Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements},
journal = {SIAM Journal on Applied Dynamical Systems},
volume = {24},
number = {1},
pages = {457-500},
year = {2025},
doi = {10.1137/22M153567X},
URL = {    
   https://doi.org/10.1137/22M153567X
},
eprint = {  
        https://doi.org/10.1137/22M153567X},
    abstract = { Abstract.In this study, we present a purely data-driven method that uses the Loewner framework along with nonlinear optimization techniques to infer quadratic dynamical systems with affine control that admit Volterra series (VS) representations from input-output time-domain measurements. The proposed method extensively employs optimization tools for interpolating the symmetric generalized frequency response functions (GFRFs) derived in the VS framework. The GFRF estimations are obtained from the Fourier spectrum (phase and amplitude) of the quasi-steady-state system response under harmonic excitation. Appropriate treatment of these measurements under the developed framework allows the identification of low-order in-state dimension quadratic state-space models with nontrivial stable equilibria, such as in the Lorenz ’63 forced system. We thus can achieve low-order global model identification for certain classes of systems that can bifurcate to multiple equilibria after collecting measurements solely from a local stable operational regime. The advanced framework rigorously tests the identification and reduction features across various examples with increasing dimensions and varying complexities. It effectively addresses the inference of a reduced model from measurements of a viscous flow, assuming adherence to the Burgers’ model with Robin boundary conditions. These results provide new prospects for developing low-order predictive models based on input-output data suitable for control. }
}

@article{Sauer2024,
title = {Signal quality evaluation of single-channel respiratory sEMG recordings},
journal = {Biomedical Signal Processing and Control},
volume = {87},
pages = {105414},
year = {2024},
issn = {1746-8094},
doi = {https://doi.org/10.1016/j.bspc.2023.105414},
url = {https://www.sciencedirect.com/science/article/pii/S1746809423008479},
author = {Julia Sauer and Marlin Siebert and Lukas Boudnik and Niklas M. Carbon and Stephan Walterspacher and Philipp Rostalski},
keywords = {Surface electromyography, Quality evaluation, Signal-to-disturbance ratio, Respiration}
}

@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}
}

@ARTICLE{10034676,
  author={Mahfouz, A. and Mohammed, M. and Shams, S. and Abbas, H. S.},
  journal={IEEE Transactions on Magnetics}, 
  title={Accurate and Simple Modeling of Eddy Current Braking Torque: Analysis and Experimental Validation}, 
  year={2023},
  volume={},
  number={},
  pages={1-1},
  note={to appear}}

@misc{karachalios2023error,
      title = {Error Bounds in Nonlinear Model Predictive Control with Linear Differential Inclusions of Parametric-Varying Embeddings}, 
      author={Dimitrios S. Karachalios and Maryam Nezami and Georg Schildbach and Hossameldin S. Abbas},
      year={2023},
      eprint={2310.01049},
      archivePrefix={arXiv},
      primaryClass={math.OC}
}

@article{Hennigs_2022,
	doi = {10.1515/auto-2022-0011},
	url = {https://doi.org/10.1515%2Fauto-2022-0011},
	year = 2022,
	month = {nov},
	publisher = {Walter de Gruyter {GmbH}},
	volume = {70},
	number = {11},
	pages = {957-967},
	author = {Carlotta Hennigs, Kai Brehmer, Tim Tristan Hardel and Philipp Rostalski},
	title = {Model-based analysis and optimization of pressure-controlled ventilation of {COPD} patients in relation to {BMI}},
	journal = {at - Automatisierungstechnik}
}

@Article{Siebert2023a,
author       = {Siebert, Marlin and Graßhoff, Jan and Rostalski, Philipp},
date         = {2023},
journaltitle = {IEEE Access},
title        = {Uncertainty Analysis of Deep Kernel Learning Methods on Diabetic Retinopathy Grading},
doi          = {10.1109/access.2023.3343642},
issn         = {2169-3536},
pages        = {146173--146184},
volume       = {11},
groups       = {Diabetes / DR, ML/DL},
publisher    = {Institute of Electrical and Electronics Engineers (IEEE)},
}

@article{Henn_2022,
	doi = {10.1515/auto-2022-0010},
	url = {https://doi.org/10.1515%2Fauto-2022-0010},
	year = {2022},
	month = {nov},
	publisher = {Walter de Gruyter {GmbH}},
	volume = {70},
	number = {11},
	pages = {946--956},
	author = {Sandra Henn and Bastian Kabuth and Franziska Schollemann and Carlotta Hennigs and Georg Männel and Michael Angern and Philipp Rostalski},
	title = {Concept for the testing of automated functions in therapeutic medical devices},
	journal = {at - Automatisierungstechnik}
}

@ARTICLE{J_Bancifra2022-ws,
  title     = "Supervisory practices of Department Heads and teachers'
               performance: Towards A proposed Enhancement Program",
  author    = "J. Bancifra, Joemar and {Tarlac State University, Tarlac City,
               Philippines} and {https://orcid.org/0000-0003-0641-1305}",
  journal   = "APJAET - Journal ay Asia Pacific Journal of Advanced Education
               and Technology",
  publisher = "International Organization of Educators and Researchers Inc.",
  pages     = "25--33",
  month     =  sep,
  year      =  2022
}

@article{Siebert_2022,
	doi = {10.1515/cdbme-2022-1104},
	url = {https://doi.org/10.1515%2Fcdbme-2022-1104},
	year = {2022},
	month = {aug},
	publisher = {Walter de Gruyter {GmbH}},
	volume = {8},
	number = {2},
	pages = {408--411},
	author = {Marlin Siebert and Nikolay Tesmer and Philipp Rostalski},
	title = {Stochastic variational deep kernel learning based diabetic retinopathy severity grading},
	journal = {Current Directions in Biomedical Engineering}
}

@article{Sauer_2022},
	doi = {10.1088/1361-6579/ac799c},
	url = {https://doi.org/10.1088%2F1361-6579%2Fac799c},
	year = 2022,
	month = {jul},
	publisher = {IOP} Publishing},
	volume = {43},
	number = {7},
	pages = {075007},
	author = {Julia Sauer and Merle Streppel and Niklas M Carbon and Eike Petersen and Philipp Rostalski},
	title = {Blind source separation of inspiration and expiration in respiratory {sEMG} signals},
	journal = {Physiological Measurement}
}

@article{Sauer_2022},
	doi = {10.1088/1361-6579/ac799c},
	url = {https://doi.org/10.1088%2F1361-6579%2Fac799c},
	year = 2022,
	month = {jul},
	publisher = {{IOP} Publishing},
	volume = {43},
	number = {7},
	pages = {075007},
	author = {Julia Sauer and Merle Streppel and Niklas M Carbon and Eike Petersen and Philipp Rostalski},
	title = {Blind source separation of inspiration and expiration in respiratory {sEMG} signals},
	journal = {Physiological Measurement}
}

@article{He22,
author = {Herzog, Christian},
doi = {10.1007/s11948-021-00283-z},
issn = {1353-3452},
journal = {Science and Engineering Ethics},
month = {feb},
number = {1},
pages = {3},
title = {Three Risks That Caution Against a Premature Implementation of Artificial Moral Agents for Practical and Economical Use},
url = {http://link.springer.com/10.1007/s11948-021-00283-z},
volume = {27},
year = {2022},
keyword = {ResearchTopicEthics},
keywords = {ResearchTopicEthics}
}

@article{BuCo-Ro22,
	title = {The {HEV} {Ventilator}: at the interface between particle physics and biomedical engineering},
	volume = {9},
	issn = {2054-5703},
	shorttitle = {The {HEV} {Ventilator}},
	url = {https://royalsocietypublishing.org/doi/10.1098/rsos.211519},
	doi = {10.1098/rsos.211519},
	abstract = {},
	language = {en},
	number = {3},
	urldate = {2022-03-17},
	journal = {Royal Society Open Science},
	author = {Buytaert, Jan and Collins, Paula and Abed Abud, Adam et al. and Rostalski, Philipp and Wyllie, Ken},
	month = March,
	year = {2022},
	pages = {211519}
}

@article{XuHeBaScAbRu22,
	title = {Using Deep Reinforcement Learning with Automatic Curriculum Learning for Mapless Navigation in Intralogistics},
	volume = {12},
	issn = {2076-3417},
	url = {https://www.mdpi.com/2076-3417/12/6/3153},
	doi = {10.3390/app12063153},
	language = {en},
	number = {6},
	urldate = {2022-08-29},
	journal = {Applied Sciences},
	author = {Xue, Honghu and Hein, Benedikt and Bakr, Mohamed and Schildbach, Georg and Abel, Bengt and Rueckert, Elmar},
	month = mar,
	year = {2022},
	pages = {3153}
}

@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}
}

@article{wembers2022mechatronic,
  title={A mechatronic test-bench to investigate the impact of ventricular pulsation in hydrocephalus},
  author={Wembers, Carlos Castelar and Fl{\"u}renbrock, Fabian and Maurer, Benedikt and Benninghaus, Anne and Radermacher, Klaus and Leonhardt, Steffen},
  journal={Biomedical Signal Processing and Control},
  volume={75},
  pages={103579},
  year={2022},
  publisher={Elsevier}
}

@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}
}

@article{Sauer_2022},
	doi = {10.1088/1361-6579/ac799c},
	url = {https://doi.org/10.1088%2F1361-6579%2Fac799c},
	year = 2022,
	month = {jul},
	publisher = {{IOP} Publishing},
	volume = {43},
	number = {7},
	pages = {075007},
	author = {Julia Sauer and Merle Streppel and Niklas M Carbon and Eike Petersen and Philipp Rostalski},
	title = {Blind source separation of inspiration and expiration in respiratory {sEMG} signals},
	journal = {Physiological Measurement}
}

@article{KoNePeGrMoMaMa22,
author = {Koo-Poeggel, Ping and Neuwerk, Soé and Petersen, Eike and Graßhoff, Jan and Mölle, Matthias and Martinetz, Thomas and Marshall, Lisa},
title = {Closed-loop acoustic stimulation during an afternoon nap to modulate subsequent encoding},
journal = {Journal of Sleep Research},
volume = {n/a},
number = {n/a},
pages = {e13734},
year = {2022},
doi = {https://doi.org/10.1111/jsr.13734}
}

@article{https://doi.org/10.1002/lary.30041,
author = {Fast, Jacob Friedemann and Oltmann, Andra and Spindeldreier, Svenja and Ptok, Martin},
title = {Computational Analysis of the Droplet-Stimulated Laryngeal Adductor Reflex in High-Speed Sequences},
journal = {The Laryngoscope},
volume = {n/a},
number = {n/a},
pages = {},
year = {2022},
keywords = {Airway-protective mechanisms, computer-aided diagnosis, glottal closure reflex, high-speed endoscopy, laryngeal closure reflex, laryngeal kinematics, MIT-LAR, reflex evaluation},
doi = {https://doi.org/10.1002/lary.30041},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/lary.30041},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/lary.30041}
}

@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}
}

@article{PePoMoZiBrNoHePeLeRoHe22,
	title = {Responsible and Regulatory Conform Machine Learning for Medicine: A Survey of Challenges and Solutions},
	copyright = {All rights reserved},
	shorttitle = {Responsible and Regulatory Conform Machine Learning for Medicine},
	journal = {IEEE Access},
	author = {Petersen, Eike and Potdevin, Yannik and Mohammadi, Esfandiar and Zidowitz, Stephan and Breyer, Sabrina and Nowotka, Dirk and Henn, Sandra and Pechmann, Ludwig and Leucker, Martin and Rostalski, Philipp and Herzog, Christian},
	year = {2022},
	note = {arXiv: 2107.09546},
	doi = {https://doi.org/10.1109/ACCESS.2022.3178382},
	issn = {2169-3536},
	keywords = {Computer Science - Machine Learning, Computer Science - Computers and Society, I.2.6, I.5, J.3}
}

@article{He21c,
	title = {On the risk of confusing interpretability with explicability},
	copyright = {All rights reserved},
	issn = {2730-5953, 2730-5961},
	url = {https://link.springer.com/10.1007/s43681-021-00121-9},
	doi = {10.1007/s43681-021-00121-9},
	abstract = {Abstract
            This Comment explores the implications of a lack of tools that facilitate an explicable utilization of epistemologically richer, but also more involved white-box approaches in AI. In contrast, advances in explainable artificial intelligence for black-box approaches have led to the availability of semi-standardized and attractive toolchains that offer a seemingly competitive edge over inherently interpretable white-box models in terms of intelligibility towards users. Consequently, there is a need for research on efficient tools for rendering interpretable white-box approaches in AI explicable to facilitate responsible use.},
	language = {en},
	urldate = {2021-12-17},
	journal = {AI and Ethics},
	author = {Herzog, Christian},
	month = {Dec},
	year = {2021}
}

@article{GrPeFaKuKaRo21,
author = {Graßhoff, Jan and Petersen, Eike and Farquharson, Franziska and Kustermann, Max and Kabitz, Hans-Joachim and Rostalski, Philipp and Walterspacher, Stephan},
year = {2021},
month = {12},
pages = {},
title = {Surface EMG-based quantification of inspiratory effort: a quantitative comparison with Pes},
volume = {25},
number = {441},
journal = {Critical Care},
doi = {10.1186/s13054-021-03833-w}
}

@article{PaHeMäRo21,
	title = {Functional {Safety} {Concept} {EGAS} for {Medical} {Devices}},
	volume = {7},
	issn = {2364-5504},
	url = {https://www.degruyter.com/document/doi/10.1515/cdbme-2021-2189/html},
	doi = {10.1515/cdbme-2021-2189},
	language = {en},
	number = {2},
	urldate = {2022-08-25},
	journal = {Current Directions in Biomedical Engineering},
	author = {Paulsen, Benjamin Alexander and Henn, Sandra and Männel, Georg and Rostalski, Philipp},
	month = oct,
	year = {2021},
	pages = {739--742}
}

@article{dahlmanns_classification_2021,
               title = {Classification of chronic venous diseases based on skin temperature patterns},
               volume = {42},
               issn = {0967-3334, 1361-6579},
               url = {https://iopscience.iop.org/article/10.1088/1361-6579/abf020},
               doi = {10.1088/1361-6579/abf020},
               number = {4},
               urldate = {2021-05-31},
               journal = {Physiological Measurement},
               author = {Dahlmanns, Stephan and Reich-Schupke, Stefanie and Schollemann, Franziska and Stücker, Markus and Leonhardt, Steffen and Teichmann, Daniel},
               month = apr,
               year = {2021},
               pages = {045001},
}

@article{He21b,
author = {Herzog, Christian},
doi = {10.1007/s43681-021-00045-4},
issn = {2730-5953},
journal = {AI and Ethics},
month = {March},
title = {On formal ethics versus inclusive moral deliberation},
url = {http://link.springer.com/10.1007/s43681-021-00045-4},
year = {2021},
keyword = {ResearchTopicEthics;KeyPub},
keywords = {ResearchTopicEthics;KeyPub}
}

@article{schollemann_anatomical_2021,
title = {An {Anatomical} {Thermal} {3D} {Model} in {Preclinical} {Research}: {Combining} {CT} and {Thermal} {Images}},
               volume = {21},
               issn = {1424-8220},
               shorttitle = {An {Anatomical} {Thermal} {3D} {Model} in {Preclinical} {Research}},
               url = {https://www.mdpi.com/1424-8220/21/4/1200},
               doi = {10.3390/s21041200},
               language = {en},
               number = {4},
               urldate = {2021-05-31},
               journal = {Sensors},
               author = {Schollemann, Franziska and Barbosa Pereira, Carina and Rosenhain, Stefanie and Follmann, Andreas and Gremse, Felix and Kiessling, Fabian and Czaplik, Michael and Abreu de Souza, Mauren},
               month = feb,
               year = {2021},
               pages = {1200},
               file = {Volltext:C\:\\Users\\FranziskaSchollemann\\Zotero\\storage\\5UT3JNGY\\Schollemann et al. - 2021 - An Anatomical Thermal 3D Model in Preclinical Rese.pdf:application/pdf},
}

@article{He21,
author = {Herzog, Christian},
doi = {10.1007/s11948-021-00283-z},
issn = {1353-3452},
journal = {Science and Engineering Ethics},
month = {feb},
number = {1},
pages = {3},
title = {Three Risks That Caution Against a Premature Implementation of Artificial Moral Agents for Practical and Economical Use},
url = {http://link.springer.com/10.1007/s11948-021-00283-z},
volume = {27},
year = {2021},
keyword = {ResearchTopicEthics},
keywords = {ResearchTopicEthics}
}

@article{BennerFilanovaKarachaliosMonemAbdelhafezPrzybillaWerner+2021+198+204,
url = {https://doi.org/10.1515/dmvm-2021-0075},
title = {Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme},
title = {},
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}
}

@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}
}

@article{GiAbBoGrVeMe21,
  author  = {Gidon, Dogan and Abbas, Hossam S. and Bonzanini,  Angelo D. and Graves, David B. and Velni, Javad Mohammadpour and Mesbah, Ali},
  journal = {Control Engineering Practice},
  title   = {Data-driven LPV Model Predictive Control of a Cold Atmospheric Plasma Jet for Biomaterials Processing},
  year    = {2021}
}

@ARTICLE{AbToPeMeVeKo21,
author = {Abbas, Hossam S. and T{\'o}th, Roland and Petreczky, Mihály and Meskin, Nader and Mohammadpour Velni, Javad and Koelewijn, Patrick J.W.},
title = {LPV modeling of nonlinear systems: A multi-path feedback linearization approach},
journal = {International Journal of Robust and Nonlinear Control},
volume = {31},
number = {18},
pages = {9436-9465},
year = {2021}
}

@article{BennerFilanovaKarachaliosMonemAbdelhafezPrzybillaWerner+2021+198+204,
url = {https://doi.org/10.1515/dmvm-2021-0075},
title = {Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme},
title = {},
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}
}

@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}
}

@ARTICLE{AbCiMaRoWe21,
  author={Abbas, H. S. and Cisneros, P. S. G. and M{\"a}nnel, G. and Rostalski, P. and Werner, H.},
  journal={IEEE Access}, 
  title={Practical Model Predictive Control for a Class of Nonlinear Systems Using Linear Parameter-Varying Representations}, 
  year={2021},
  volume={9},
  number={},
  pages={62380-62393}
  }

@article{NaHeGrPfLiRo21,
author = {Nawaz, Ayla and Herzog, Christian and Graßhoff, Jan and Pfeiffer, Sven and Lichtenberg, Gerwald and Rostalski, Philipp},
doi = {10.1515/auto-2020-0064},
journal = {at - Automatisierungstechnik},
title = {Probabilistic model-based fault diagnosis for the cavities of the European XFEL},
year = {2021}
}

@article{OltmannKuscheRostalski+2021+151+154,
url = {https://doi.org/10.1515/cdbme-2021-2039},
title = {Spatial Sensitivity of ECG Electrode Placement},
author = {Andra Oltmann and Roman Kusche and Philipp Rostalski},
pages = {151--154},
volume = {7},
number = {2},
journal = {Current Directions in Biomedical Engineering},
doi = {doi:10.1515/cdbme-2021-2039},
year = {2021},
lastchecked = {2022-08-24}
}

@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}
}

@ARTICLE{Rostalski2020-md,
  title     = "Automation in medical technology: Model-based design as a key
               for safe and effective medicine",
  author    = "Rostalski, Philipp and Schauer, Thomas",
  journal   = "at - Autom.",
  publisher = "Walter de Gruyter GmbH",
  volume    =  68,
  number    =  11,
  pages     = "911--912",
  month     =  nov,
  year      =  2020,
  language  = "en"
}

@article{Zeinali2020,
  doi = {10.1021/acs.iecr.0c04058},
  url = {https://doi.org/10.1021/acs.iecr.0c04058},
  year = {2020},
  month = sep,
  publisher = {American Chemical Society ({ACS})},
  volume = {59},
  number = {43},
  pages = {19370--19382},
  author = {Sahar Zeinali and Mohammad Shahrokhi and Asier Ibeas},
  title = {Observer-Based Impulsive Controller Design for Treatment of Hepatitis C Disease},
  journal = {Industrial & Engineering Chemistry Research}
}

@article{ScHaMaRoKiBlGaSt20,
	title = {Robust predictive control for respiratory CO2 gas removal in closed-loop mechanical ventilation: {An} in-silico study},
	volume = {6},
	issn = {2364-5504},
	url = {https://www.degruyter.com/document/doi/10.1515/cdbme-2020-3080/html},
	doi = {10.1515/cdbme-2020-3080},
	language = {en},
	number = {3},
	urldate = {2022-01-27},
	journal = {Current Directions in Biomedical Engineering},
	author = {Schmal, Matthias and Haueisen, Jens and Männel, Georg and Rostalski, Philipp and Kircher, Michael and Bluth, Thomas and Gama de Abreu, Marcelo and Stender, Birgit},
	month = sep,
	year = {2020},
	pages = {311--314}
}

@article{Zeinali2020,
  doi = {10.1021/acs.iecr.0c04058},
  url = {https://doi.org/10.1021/acs.iecr.0c04058},
  year = {2020},
  month = sep,
  publisher = {American Chemical Society ({ACS})},
  volume = {59},
  number = {43},
  pages = {19370--19382},
  author = {Sahar Zeinali and Mohammad Shahrokhi and Asier Ibeas},
  title = {Observer-Based Impulsive Controller Design for Treatment of Hepatitis C Disease},
  journal = {Industrial & Engineering Chemistry Research}
}

@article{HeBr20a,
  title={Front Cover: Registration of Image Modalities for Analyses of Tissue Samples using 3D Image Modelling},
  author={Hermann, Juliane and Brehmer, Kai and Mahfoud, Felix and Speer, Timotheus and Schunk, Stefan J. and Tscherning, Thomas and Thiele, Herbert and Jankowski, Joachim},
  journal={PROTEOMICS -- Clinical Applications},
  year={2020},
  publisher={Wiley},
  url={{{https://onlinelibrary.wiley.com/doi/abs/10.1002/prca.202170011}}},
  doi={{{10.1002/prca.202170011}}}
}

@article{KlGeWoAbBrMu20,
  author  = {Kleyman, Viktoria and Gernandt, Hannes and Worthmann, Karl and Abbas, Hossam S. and Brinkmann, Ralf and Müller, Matthias A.},
  journal = {at - Automatisierungstechnik},
  title   = {Modeling and parameter identification for real-time temperature controlled retinal laser therapies},
  year    = {2020},
  volume  = {68},
  number  = {11},            
  pages   = {953–966}
}

@article{HeBr20,
  title={Registration of Image Modalities for Analyses of Tissue Samples using 3D Image Modelling},
  author={Hermann, Juliane and Brehmer, Kai and Mahfoud, Felix and Speer, Timotheus and Schunk, Stefan J. and Tscherning, Thomas and Thiele, Herbert and Jankowski, Joachim},
  journal={PROTEOMICS -- Clinical Applications},
  year={2020},
  publisher={Wiley},
}

@Article{PeSaGrRo20,
  author    = {Petersen, Eike and Sauer, Julia and Graßhoff, Jan and Rostalski, Philipp},
  title     = {Removing Cardiac Artifacts From Single-Channel Respiratory Electromyograms},
  journal   = {{IEEE} Access},
  year      = {2020},
  volume    = {8},
  pages     = {30905--30917},
  doi       = {10.1109/access.2020.2972731},
  groups    = {ECG Removal from EMG recordings},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})}
}

@article{MaSiKlBrRo20,
  author  = {Männel, Georg and Siebert, Marlin and Kleinewalter , Dennis and Brendle, Christian and Rostalski, Philipp},
  journal = {at - Automatisierungstechnik},
  title   = {{R}obust {M}odel {P}redictive {C}ontrol of an {A}naesthesia {W}orkstation {V}entilation {U}nit},
  year    = {2020}
}

@article{Zeinali2019,
  doi = {10.1021/acs.iecr.9b02988},
  url = {https://doi.org/10.1021/acs.iecr.9b02988},
  year = {2019},
  month = jul,
  publisher = {American Chemical Society ({ACS})},
  volume = {58},
  number = {33},
  pages = {15262--15270},
  author = {Sahar Zeinali and Mohammad Shahrokhi},
  title = {Adaptive Control Strategy for Treatment of Hepatitis C Infection},
  journal = {Industrial & Engineering Chemistry Research}
}

@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}
}

@article{PeRo19,
 author = {Petersen, Eike and Rostalski, Philipp},
 abstract = {},
 year = {2019},
 title = {{A Comprehensive Mathematical Model of Motor Unit Pool Organization, Surface Electromyography and Force Generation}},
 journal = {frontiers in Physiology},
 url = {{https://www.frontiersin.org/articles/10.3389/fphys.2019.00176/abstract}}
}

@article{Benninghaus.2019,
 abstract = { },
 author = {Benninghaus, Anne and Bal{\'e}dent, Olivier and Lokossou, Armelle and Castelar, Carlos and Leonhardt, Steffen and Radermacher, Klaus},
 year = {2019},
 title = {Enhanced in vitro model of the CSF dynamics},
 pages = {11},
 volume = {16},
 number = {1},
 journal = {Fluids and barriers of the CNS},
 doi = {10.1186/s12987-019-0131-z}
}

@article{Castelar.2019,
 author = {Castelar, Carlos and Fluerenbrock, Fabian and Korn, Leonie and Benninghaus, Anne and Shchukin, Sergey and Radermacher, Klaus and Leonhardt, Steffen},
 year = {2019},
 title = {FEM simulation of bioimpedance-based monitoring of ventricular dilation and intracranial pulsation},
 keywords = {Bioimpedance;Brain Phantom;FEM;Hydrocephalus;Intracranial Pulsation;Ventricular Volumetry},
 pages = {7--20},
 volume = {21},
 number = {1},
 journal = {International Journal of Bioelectromagnetism}
}

@article{HaSiDiHe19,
title={Fusing information from multiple 2D depth cameras for 3D human pose estimation in the operating room},
author={Hansen, Lasse and Siebert, Marlin and Diesel, Jasper and Heinrich, Mattias P.},
journal={International Journal of Computer Assisted Radiology and Surgery},
volume={14},
number={11},
pages={1871-1879},
year={2019},
publisher={Springer}
}

@article{HePeRo19,
author = {Herzog, Christian and Petersen, Eike and Rostalski, Philipp},
year = {2019},
journal = {IEEE Contr. Syst. Letters},
volume = {3},
number = {4},
title = {{Iterative Approximate Nonlinear Inference via Gaussian Message Passing on Factor Graphs}},
doi = {https://dx.doi.org/10.1109/LCSYS.2019.2919260}
}

@article{AbMaHeRo19,
author = {Abbas, Hossam Seddik and M{\"{a}}nnel, Georg and Herzog, Christian and Rostalski, Philipp},
year = {2019},
journal = {Automatica},
title = {{Tube-Based Model Predictive Control for Linear Parameter-Varying Systems with Bounded Rate of Parameter Variation}}
}

@article{AbHaToMoMe18,
author = {Abbas, Hossam S. and Hanema, Jurre and Toth, Roland and Mohammadpour, Javad and Meskin, Nader},
year = {2018},
doi = {10.1016/j.ifacol.2018.11.159},
issn = {24058963},
journal = {IFAC-PapersOnLine},
number = {26},
pages = {112--117},
title = {{A New Approach to Robust MPC Design for LPV Systems in Input-Output Form}},
url = {https://linkinghub.elsevier.com/retrieve/pii/S2405896318328222},
volume = {51}
}

@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}
}

@article{leonhauser2018evaluation,
  title={Evaluation of electrical impedance tomography for determination of urinary bladder volume: comparison with standard ultrasound methods in healthy volunteers},
  author={Leonh{\"a}user, Dorothea and Castelar, Carlos and Schlebusch, Thomas and Rohm, Martin and Rupp, R{\"u}diger and Leonhardt, Steffen and Walter, Marian and Grosse, Joachim O},
  journal={Biomedical engineering online},
  volume={17},
  number={1},
  pages={1--13},
  year={2018},
  publisher={Springer}
}

@article{BeCiBrNa18,
  title={Simulation of microphonic effects in high QL TESLA cavities during CW operations},
  author={Bellandi, A. and Cichalewski, W. and Branlard, J. and Nawaz, A. and Rybaniec, R. and Schlarb, H. and Schmidt, C.},
  journal={arXiv preprint arXiv:1803.09038},
  year={2018}
}

@article{BrWaMo18b,
  title={Simultaneous Registration of Image Sequences--a novel singular value based images similarity measure},
  author={Brehmer, Kai and Wacker, Benjamin and Modersitzki, Jan},
  journal={PAMM},
  volume={18},
  number={1},
  pages={e201800370},
  year={2018},
  publisher={Wiley},
  url={{{https://arxiv.org/abs/1907.09275}}},
  doi={{{10.1002/pamm.201800370}}}
}

@article{HeThScSiBr18,
 author = {Herzog, Christian and Thomsen, Ole and Schmarbeck, Benedikt and Siebert, Marlin and Brinkmann, Ralf},
 year = {2018},
 title = {{Temperature-Controlled Laser Therapy of the Retina via Robust Adaptive ℋ∞-Control}},
 journal = {{at - Automatisierungstechnik, Invited Article in Special Issue "AUTOMED 2018"}},
 doi = {10.1515/auto-2018-0066},
 issn = {0178-2312},
 number = {12},
 pages = {1051--1063},
 volume = {66},
 year = {2018}
}

@article{AbHaToMo17,
 author = {Abbas, Hossam Seddik and Hanema, J. and T{\'o}th, Roland and Mohammadpour, Javad and Meskin, Nader},
 abstract = {},
 year = {2017},
 title = {{An improved robust model predictive control for linear parameter-varying input-output models}},
 journal = {Int. J. Rob. Nonlin. Contr.},
 note = {in press}
}

@article{PeBuEgRo17,
 author = {Petersen, Eike and Buchner, Herbert and Eger, Marcus and Rostalski, Philipp},
 abstract = {Electromyography (EMG) has long been used for the assessment of muscle function and activity and has recently been applied to the control of medical ventilation. For this application, the EMG signal is usually recorded invasively by means of electrodes on a nasogastric tube which is placed inside the esophagus in order to minimize noise and crosstalk from other muscles. Replacing these invasive measurements with an EMG signal obtained non-invasively on the body surface is difficult and requires techniques for signal separation in order to reconstruct the contributions of the individual respiratory muscles. In the case of muscles with small cross-sectional areas, or with muscles at large distances from the recording site, solutions to this problem have been proposed previously. The respiratory muscles, however, are large and distributed widely over the upper body volume. In this article, we describe an algorithm for convolutive blind source separation (BSS) that performs well even for large, distributed muscles such as the respiratory muscles, while using only a small number of electrodes. The algorithm is derived as a special case of the TRINICON general framework for BSS. To provide evidence that it shows potential for separating inspiratory, expiratory, and cardiac activities in practical applications, a joint numerical simulation of EMG and ECG activities was performed, and separation success was evaluated in a variety of noise settings. The results are promising.

~

Electromyography (EMG) has long been used for the assessment of muscle function and activity and has recently been applied to the control of medical ventilation. For this application, the EMG signal is usually recorded invasively by means of electrodes on a nasogastric tube which is placed inside the esophagus in order to minimize noise and crosstalk from other muscles. Replacing these invasive measurements with an EMG signal obtained non-invasively on the body surface is difficult and requires techniques for signal separation in order to reconstruct the contributions of the individual respiratory muscles. In the case of muscles with small cross-sectional areas, or with muscles at large distances from the recording site, solutions to this problem have been proposed previously. The respiratory muscles, however, are large and distributed widely over the upper body volume. In this article, we describe an algorithm for convolutive blind source separation (BSS) that performs well even for large, distributed muscles such as the respiratory muscles, while using only a small number of electrodes. The algorithm is derived as a special case of the TRINICON general framework for BSS. To provide evidence that it shows potential for separating inspiratory, expiratory, and cardiac activities in practical applications, a joint numerical simulation of EMG and ECG activities was performed, and separation success was evaluated in a variety of noise settings. The results are promising.

// 

Electromyography (EMG) has long been used for the assessment of muscle function and activity and has recently been applied to the control of medical ventilation. For this application, the EMG signal is usually recorded invasively by means of electrodes on a nasogastric tube which is placed inside the esophagus in order to minimize noise and crosstalk from other muscles. Replacing these invasive measurements with an EMG signal obtained non-invasively on the body surface is difficult and requires techniques for signal separation in order to reconstruct the contributions of the individual respiratory muscles. In the case of muscles with small cross-sectional areas, or with muscles at large distances from the recording site, solutions to this problem have been proposed previously. The respiratory muscles, however, are large and distributed widely over the upper body volume. In this article, we describe an algorithm for convolutive blind source separation (BSS) that performs well even for large, distributed muscles such as the respiratory muscles, while using only a small number of electrodes. The algorithm is derived as a special case of the TRINICON general framework for BSS. To provide evidence that it shows potential for separating inspiratory, expiratory, and cardiac activities in practical applications, a joint numerical simulation of EMG and ECG activities was performed, and separation success was evaluated in a variety of noise settings. The results are promising.},
 year = {2017},
 title = {{Convolutive blind source separation of surface EMG measurements of the respiratory muscles}},
 pages = {171--181},
 volume = {62},
 number = {2},
 journal = {Biomed. Tech.},
 note = {Evaluation Studies

Journal Article}
}

@article{BeScRoZi17,
 author = {Becher, Tobias and Sch{\"a}dler, Dirk and Rostalski, Philipp and Zick, G{\"u}nther and Frerichs, Inez and Weller, Norbert},
 abstract = {},
 year = {2017},
 title = {{Determination of respiratory system compliance during pressure support ventilation by small variations of pressure support}},
 journal = {J. Clin. Monit. Comput.},
 note = {submitted}
}

@article{WoAbToWe17,
 author = {Wollnack, Simon and Abbas, Hossam Seddik and T{\'o}th, Roland and Werner, Herbert},
 abstract = {},
 year = {2017},
 title = {{Fixed-structure LPV-IO controllers: An implicit representation based approach}},
 pages = {282--289},
 volume = {83},
 journal = {Automatica}
}

@article{BeRoKoAd17,
 author = {Becher, Tobias and Rostalski, Philipp and Kott, Matthias and Adler, Andy and Sch{\"a}dler, Dirk and Weiler, Norbert and Frerichs, Inez and Weiler, N.},
 abstract = {OBJECTIVE

Static or quasi-static pressure-volume (P-V ) curves can be used to determine the lung mechanical properties of patients suffering from acute respiratory distress syndrome (ARDS). According to the traditional interpretation, lung recruitment occurs mainly below the lower point of maximum curvature (LPMC) of the inflation P-V curve. Although some studies have questioned this assumption, setting of positive end-expiratory pressure 2 cmH2O above the LPMC was part of a 'lung-protective' ventilation strategy successfully applied in several clinical trials. The aim of our study was to quantify the amount of unrecruited lung at different clinically relevant points of the P-V curve.

APPROACH

P-V curves and electrical impedance tomography (EIT) data from 30 ARDS patients were analysed. We determined the regional opening pressures for every EIT image pixel and fitted the global P-V curves to five sigmoid model equations to determine the LPMC, inflection point (IP) and upper point of maximal curvature (UPMC). Points of maximal curvature and IP were compared between the models by one-way analysis of variance (ANOVA). The percentages of lung pixels remaining closed ('unrecruited lung') at LPMC, IP and UPMC were calculated from the number of lung pixels exhibiting regional opening pressures higher than LPMC, IP and UPMC and were also compared by one-way ANOVA.

MAIN RESULTS

As results, we found a high variability of LPMC values among the models, a smaller variability of IP and UPMC values. We found a high percentage of unrecruited lung at LPMC, a small percentage of unrecruited lung at IP and no unrecruited lung at UPMC.

SIGNIFICANCE

Our results confirm the notion of ongoing lung recruitment at pressure levels above LPMC for all investigated model equations and highlight the importance of a regional assessment of lung recruitment in patients with ARDS.},
 year = {2017},
 title = {{Global and regional assessment of sustained inflation pressure-volume curves in patients with acute respiratory distress syndrome}},
 pages = {1132--1144},
 volume = {38},
 number = {6},
 journal = {Phys. Meas.},
 note = {Journal Article}
}

@article{santos2017monitoring,
  title={Monitoring lung contusion in a porcine polytrauma model using EIT: an application study},
  author={Santos, Susana Aguiar and Wembers, Carlos Castelar and Horst, Klemens and Pfeifer, Roman and Simon, Tim-Philipp and Pape, Hans-Christoph and Hildebrand, Frank and Czaplik, Michael and Leonhardt, Steffen and Teichmann, Daniel},
  journal={Physiological measurement},
  volume={38},
  number={8},
  pages={1542},
  year={2017},
  publisher={IOP Publishing}
}

@article{AbToMeMo16,
 author = {Abbas, Hossam Seddik and T{\'o}th, Roland and Meskin, Nader and Mohammadpour, Javad and Hanema, J.},
 abstract = {},
 year = {2016},
 title = {{A Robust MPC for Input-Output LPV Models}},
 pages = {4183--4188},
 volume = {61},
 number = {12},
 journal = {IEEE Trans. Automat. Contr.}
}

@article{horst2016characterization,
  title={Characterization of blunt chest trauma in a long-term porcine model of severe multiple trauma},
  author={Horst, Klemens and Simon, Tim P and Pfeifer, Roman and Teuben, Michel and Almahmoud, Khalid and Zhi, Qiao and Santos, S Aguiar and Wembers, C Castelar and Leonhardt, Steffen and Heussen, Nicole and others},
  journal={Scientific reports},
  volume={6},
  number={1},
  pages={1--13},
  year={2016},
  publisher={Nature Publishing Group}
}

@article{HoWe16,
 author = {Hoffmann, Christian and Werner, Herbert and Werner, H.},
 abstract = {},
 year = {2016},
 title = {{Convex Distributed Controller Synthesis for Interconnected Heterogeneous Subsystems via Virtual Normal Interconnection Matrices}},
 pages = {5337--5342},
 volume = {62},
 number = {10},
 journal = {IEEE Trans. Automat. Contr.}
}

@article{RaAbMeTo16,
 author = {Rahme, Sandy and Abbas, Hossam Seddik and Meskin, Nader and T{\'o}th, Roland and Mohammadpour, Javad},
 abstract = {},
 year = {2016},
 title = {{LPV model development and control of a solution copolymerization reactor}},
 pages = {98--110},
 volume = {48},
 journal = {Contr. Eng. Prac.}
}

@article{HoEiWe15,
 author = {Hoffmann, Christian and Eichler, A. and Werner, Herbert},
 abstract = {},
 year = {2015},
 title = {{Control of Heterogeneous Groups of Systems Interconnected Through Directed and Switching Topologies}},
 pages = {1904--1909},
 volume = {60},
 number = {7},
 journal = {IEEE Trans. Automat. Contr.}
}

@article{BhRoSa15,
 author = {Bhardwaj, Avinash and Rostalski, Philipp and Sanyal, Raman},
 abstract = {},
 year = {2015},
 title = {{Deciding Polyhedrality of Spectrahedra}},
 pages = {1873--1884},
 volume = {25},
 number = {3},
 journal = {SIAM J. Optim.}
}

@article{ZiRoBeBr15,
 author = {Ziaian, Dammon and Rostalski, Philipp and Berggreen, A. E. and Brandt, S. and Grossherr, M. and Gehring, H. and Hengstenberg, Andreas and ZImmermann, Stefan},
 abstract = {},
 year = {2015},
 title = {{Improving Systems Dynamics by Means of Advanced Signal Processing: Mathematical, Laboratorial and Clinical Evaluation of Propofol Monitoring in Breathing Gas}},
 pages = {145--153},
 volume = {193},
 number = {10},
 journal = {Sensors {\&} Transducers}
}

@article{AbAlHaWe14,
 author = {Abbas, Hossam Seddik and Ali, A. and Hashemi, Seyed Mahdi and Werner, Herbert},
 abstract = {},
 year = {2014},
 title = {{LPV state-feedback control of a control moment gyroscope}},
 pages = {129--137},
 volume = {24},
 number = {3},
 journal = {Contr. Eng. Prac.}
}

@article{EiHoWe14b,
 author = {Eichler, A. and Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 year = {2014},
 title = {{Robust Control of Decomposable LPV Systems}},
 pages = {3239--3245},
 volume = {50},
 number = {12},
 journal = {Automatica},
 note = {accepted}
}

@article{HoHaAbWe14,
 author = {Hoffmann, Christian and Hashemi, Seyed Mahdi and Abbas, Hossam Seddik and Werner, Herbert},
 abstract = {},
 year = {2014},
 title = {{Synthesis of LPV Controllers With Low Implementation Complexity Based on a Reduced Parameter Set}},
 pages = {2393--2398},
 volume = {22},
 number = {6},
 journal = {IEEE Trans. Contr. Syst. Technol.}
}

@article{LaLaMoRo13,
 author = {Lasserre, Jean-Bernard and Laurent, Monique and Mourrain, Bernard and Rostalski, Philipp and Tr{\'e}buchet, Philippe},
 abstract = {In this paper, we describe new methods to compute the radical (resp. real radical) of an ideal, assuming it complex (resp. real) variety is finite. The aim is to combine approaches for solving a system of polynomial equations with dual methods which involve moment matrices and semi-definite programming. While the border basis algorithms of [17] are efficient and numerically stable for computing complex roots, algorithms based on moment matrices [12] allow the incorporation of additional polynomials, e.g., to re- strict the computation to real roots or to eliminate multiple solutions. The proposed algorithm can be used to compute a border basis of the input ideal and, as opposed to other approaches, it can also compute the quotient structure of the (real) radical ideal directly, i.e., without prior algebraic techniques such as Gr ̈obner bases. It thus combines the strength of existing algorithms and provides a unified treatment for the computation of border bases for the ideal, the radical ideal and the real radical ideal.},
 year = {2013},
 title = {{Moment matrices, border bases and real radical computation}},
 pages = {63--85},
 volume = {51},
 journal = {J. Symb. Computation}
}

@article{HaAbWe12,
 author = {Hashemi, Seyed Mahdi and Abbas, Hossam Seddik and Werner, Herbert},
 abstract = {},
 year = {2012},
 title = {{Low-Complexity Linear Parameter-Varying Modeling and Control of a Robotic Manipulator}},
 pages = {248--257},
 volume = {20},
 number = {3},
 journal = {Contr. Eng. Prac.}
}

@article{AbWe11,
 author = {Abbas, Hossam Seddik and Werner, Herbert},
 abstract = {},
 year = {2011},
 title = {{Frequency Weighted Discrete-Time LPV Model Reduction Using Structurally Balanced Truncation}},
 pages = {140--147},
 volume = {19},
 number = {1},
 journal = {IEEE Trans. Contr. Syst. Technol.}
}

@article{RoFoBaBe11,
 author = {Rostalski, Philipp and Fotiou, Ioannis A. and Bates, Daniel J. and Beccuti, A. Giovanni and Morari, Manfred},
 abstract = {},
 year = {2011},
 title = {{Numerical Algebraic Geometry for Optimal Control Applications}},
 pages = {417--437},
 volume = {21},
 number = {2},
 journal = {SIAM J. Optim.}
}

@article{RoSt10,
 author = {Rostalski, Philipp and Sturmfels, Bernd},
 abstract = {},
 year = {2010},
 title = {{Dualities in Convex Algebraic Geometry}},
 volume = {30},
 journal = {Rendiconti di Matematica}
}

@article{LaLaRo09,
 author = {Lasserre, Jean-Bernard and Laurent, Monique and Rostalski, Philipp},
 abstract = {},
 year = {2009},
 title = {{A prolongation--projection algorithm for computing the finite real variety of an ideal}},
 pages = {2685--2700},
 volume = {410},
 number = {27-29},
 journal = {Theoretical Comput. Sci.}
}

@article{LaLaRo08,
 author = {Lasserre, Jean-Bernard and Laurent, Monique and Rostalski, Philipp},
 abstract = {},
 year = {2008},
 title = {{Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals}},
 pages = {607--647},
 volume = {8},
 number = {5},
 journal = {Found. Comput. Math.}
}

@article{RoBeBava07,
 author = {Rostalski, Philipp and Besselmann, T. and Bari{\'c}, M. and {van Belzen}, F. and Morari, Manfred},
 abstract = {},
 year = {2007},
 title = {{A hybrid approach to modelling, control and state estimation of mechanical systems with backlash}},
 pages = {1729--1740},
 volume = {80},
 number = {11},
 journal = {Int. J. Contr.}
}

@article{FoRoPaMo06,
 author = {Fotiou, Ioannis A. and Rostalski, Philipp and Parrilo, Pablo A. and Morari, Manfred},
 abstract = {},
 year = {2006},
 title = {{Parametric optimization and optimal control using algebraic geometry methods}},
 pages = {1340--1358},
 volume = {79},
 number = {11},
 journal = {Int. J. Contr.}
}