@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}
}

@inproceedings{NaPfLiSc16,
 author = {Nawaz, Ayla S. and Pfeiffer, Sven and Lichtenberg, Gerwald and Schlarb, Holger},
 abstract = {},
 title = {{Self-organized Critical Control for the European XFEL using Black Box Parameter Identification for the Quench Detection System}},
 pages = {196--201},
 year = {2016},
 booktitle = {Proc. 3rd Conf. Contr. Fault-Tolerant Syst}
}

@phdthesis{Gr16,
 author = {Graßhoff, Jan},
 abstract = {},
 year = {2016},
 title = {{Model-Based Estimation of Respiratory Effort using Esophageal Pressure}},
 school = {{Universit{\"a}t zu L{\"u}beck}},
 type = {{Master's Thesis}},
 keyword = {ThesisAtIME; SupervisedByEPetersen; SupervisedByPRostalski},
 keywords = {ThesisAtIME; SupervisedByEPetersen; SupervisedByPRostalski}
}

@inproceedings{HaToLaAb16,
 author = {Hanema, J. and T{\'o}th, Roland and Lazar, M. and Abbas, Hossam Seddik},
 abstract = {},
 title = {{MPC for Linear Parameter-Varying Systems in Input-Output Representation}},
 pages = {354--359},
 year = {2016},
 booktitle = {Proc. IEEE Multi-Conf. Syst. Contr.}
}

@inproceedings{MaRuKrRo16,
 author = {M{\"a}nnel, Georg and Rutsatz, Dirk and Kr{\"u}ger, Thomas and Rostalski, Philipp},
 abstract = {},
 title = {{Modellpr{\"a}diktive Regelung von Kohlenstoffdioxid im Atemgas}},
 year = {2016},
 booktitle = {Proc. Workshop Automed}
}

@phdthesis{Ma16,
 author = {M{\"a}nnel, Georg},
 abstract = {},
 year = {2016},
 title = {{Model predictive Control for Carbon-Dioxide in expiratory Gas}},
 school = {{Universit{\"a}t zu L{\"u}beck}},
 publisher = {{Master's Thesis at the Institute for Electrical Engineering in Medicine, University of Lübeck}},
 type = {{Master's Thesis}},
 keyword = {ThesisAtIME; SupervisedByPRostalski},
 keywords = {ThesisAtIME; SupervisedByPRostalski}
}

@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.}
}

@inproceedings{BuPeEgRo16,
 author = {Buchner, Herbert and Petersen, Eike and Eger, Marcus and Rostalski, Philipp},
 abstract = {The electromyogram (EMG) is an important tool for assessing the activity of a muscle and thus also a valuable measure for the diagnosis and control of respiratory support. In this article we propose convolutive blind source separation (BSS) as an effective tool to pre-process surface electromyogram (sEMG) data of the human respiratory muscles. Specifically, the problem of discriminating between inspiratory, expiratory and cardiac muscle activity is addressed, which currently poses a major obstacle for the clinical use of sEMG for adaptive ventilation control. It is shown that using the investigated broadband algorithm, a clear separation of these components can be achieved. The algorithm is based on a generic framework for BSS that utilizes multiple statistical signal characteristics. Apart from a four-channel FIR structure, there are no further restrictive assumptions on the demixing system.},
 title = {{Convolutive blind source separation on surface EMG signals for respiratory diagnostics and medical ventilation control}},
 pages = {3626--3629},
 volume = {2016},
 year = {2016},
 booktitle = {Proc. 38th Ann. Int. Conf. Eng. Med. Biol. Soc}
}

@phdthesis{Ho16,
 author = {Hoffmann, Christian},
 abstract = {Der Entwurf von Reglern f{\"u}r komplexe nichtlineare Regelstrecken im Framework Linear Parameterver{\"a}nderlicher (LPV) Systeme f{\"u}hrt zu hohem Modellierungs-, Synthese- und Implementierungsaufwand. Zugleich k{\"o}nnen Regelstrecken durch eine verteilte Struktur {\"a}hnlicher interagierender LPV-Subsysteme eine hohe Komplexit{\"a}t erlangen. Die vorliegende Arbeit behandelt Methoden zur Modellierung komplexer LPV-Systeme, sowohl im Sinne nichtlinearer, als auch verteilter Regelstrecken, und beinhaltet verbesserte Entwurfswerkzeuge, die zu niedrigerem Synthese- und Implementierungsaufwand f{\"u}hren.

The controller design for complex nonlinear systems using the framework of linear parameter-varying (LPV) systems often leads to high costs in modeling, synthesis and implementation. Interconnected LPV subsystems also yield complex systems. This thesis presents methods for the modeling of complex LPV systems, in the sense of nonlinear as well as interconnected subsystems and introduces improved controller synthesis tools that lead to reduced synthesis and implementation costs.},
 year = {2016},
 title = {{Linear Parameter-Varying Control of Systems of High Complexity}},
 address = {Germany},
 publisher = {Ph.D. Thesis at the Institute of Control Systems},
 school = {{Hamburg University of Technology}},
 doi = {10.15480/882.1301},
 url = {https://doi.org/10.15480/882.1301}
}

@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.}
}

@thesis{bachelor_schollemann,
author = {{Schollemann, Franziska}},
title = {{ NMF with Adapted Constraints for Audio Source Separation of Different Signal Types}},
school = {{RWTH Aachen University }},
publisher = {{  Institute and Chair for Communications Engineering at RWTH Aachen University }},
type = {{Bachelor Thesis}}
year = {2016},
}

@phdthesis{Ec16,
 author = {Eckardt, Nils},
 abstract = {},
 year = {2016},
 title = {{Design and Setup of an sEMG and Force Measurement Station}},
 school = {{Universit{\"a}t zu L{\"u}beck}},
 type = {{Master's Thesis}},
 keyword = {ThesisAtIME; SupervisedByEPetersen; SupervisedByPRostalski},
 keywords = {ThesisAtIME; SupervisedByEPetersen; SupervisedByPRostalski}
}

@inproceedings{Pe16,
 author = {Petersen, Eike},
 abstract = {},
 title = {{A Mathematical Model of Surface Electromyographic Measurements}},
 year = {2016},
 booktitle = {Proc. Workshop Biosig. Process}
}

@phdthesis{Da16,
 author = {Danielson, Charlott},
 abstract = {},
 year = {2016},
 title = {{A Combined Mathematical Model of the Human Thoracic Diaphragm and the Lungs}},
 school = {{Universit{\"a}t zu L{\"u}beck}},
 type = {{Bachelor Thesis}},
 keyword = {ThesisAtIME; SupervisedByEPetersen; SupervisedByPRostalski},
 keywords = {ThesisAtIME; SupervisedByEPetersen; SupervisedByPRostalski}
}

@phdthesis{Si16,
 author = {Siebert, Marlin},
 abstract = {},
 year = {2016},
 title = {{Aktive Leistungsregelung des Behandlungslasers f{\"u}r die kontrollierte Photokoagulation der Netzhaut}},
 school = {{Universit{\"a}t zu L{\"u}beck}},
 publisher = {{Bachelor Thesis at the Institute for Electrical Engineering in Medicine, University of Lübeck}},
 type = {{Bachelor Thesis}},
 keyword = {ThesisAtIME; SupervisedByCHoffmann; SupervisedByRBrinkmann},
 keywords = {ThesisAtIME; SupervisedByCHoffmann; SupervisedByRBrinkmann}
}

@phdthesis{Sa16,
 author = {Sauer, Julia},
 abstract = {},
 year = {2016},
 title = {{Cardiac Artefact Removal on Surface Electromyographic Signals of the Respiratory Muscles}},
 school = {{Universit{\"a}t zu L{\"u}beck}},
 publisher = {{Bachelor Thesis at the Institute for Electrical Engineering in Medicine, University of Lübeck}},
 type = {{Bachelor Thesis}},
 keyword = {ThesisAtIME; SupervisedByEPetersen; SupervisedByPRostalski},
 keywords = {ThesisAtIME; SupervisedByEPetersen; SupervisedByPRostalski}
}

@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.}
}

@phdthesis{Ge16,
 author = {Gerant, Victoria-Marie},
 abstract = {},
 year = {2016},
 title = {{Design and Characterization of a Low-Cost Atomic Force Microscope}},
 school = {{Universit{\"a}t zu L{\"u}beck}},
 type = {{Bachelor Thesis}},
 keyword = {ThesisAtIME; SupervisedByCHoffmann; SupervisedByPRostalski},
 keywords = {ThesisAtIME; SupervisedByCHoffmann; SupervisedByPRostalski}
}

@inproceedings{Zeinali15,
  author  = {Zeinali, Sahar and Shahrokhi, Mohammad},
  journal = {the 9th International Chemical Engineering Congress & Exhibition, December 2015, Iran},
  title   = {Design of Two Observer-Based Nonlinear Controllers for a Bioreactor}
}

@phdthesis{Ne15,
author = {Nezami, Maryam},
abstract = {},
year = {2015},
title = {{Remotely Controlling the Temperature of a Room by Sending an Activation Message}},
school = {{Shiraz University of Technology}},
publisher = {{Bachelor thesis at Shiraz University of Technology, Iran}},
type = {{Bachelor Thesis}}
}

@misc{HoWe15c,
 author = {Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 year = {2015},
 title = {{Reglerentwurf für verteilte, nicht-lineare, heterogene Systeme bei zeitlich ver\"{a}nderlicher Interaktionstopologie mit Hilfe multiplier-basierter konvexer Optimierungsmethoden}},
 address = {Boppard, Rheinland-Pfalz, Germany},
 series = {{49. Regelungstechnisches Kolloquium in Boppard}}
}

@inproceedings{ZiRoHeZI15,
 author = {Ziaian, Dammon and Rostalski, Philipp and Hengstenberg, Andreas and ZImmermann, Stefan},
 abstract = {},
 title = {{Reducing System Response Time and Noise of Electrochemical Gas Sensors: Discussed for Propofol Monitoring in Breathing Gas}},
 year = {2015},
 booktitle = {Proc. 6th Int. Conf. Sensor Device Technol. Applicat}
}

@inproceedings{NaWeHoPf15,
 author = {Nawaz, Ayla S. and Werner, Herbert and Hoffmann, Matthias and Pfeiffer, Sven and Schlarb, Holger},
 abstract = {},
 title = {{Physical Parameter Identification of Cross-Coupled Gun and Buncher Cavity at~REGAE}},
 pages = {857--859},
 year = {2015},
 booktitle = {Proc. 6th Int. Particle Accelerator Conf.}
}

@phdthesis{Na15,
 author = {Nawaz, Ayla S.},
 abstract = {},
 year = {2015},
 title = {{Model-based fault diagnosis for feedback controlled systems of the European X-FEL}},
 address = {Hamburg, Germany},
 school = {{Hamburg University of Technology and DESY}},
 type = {{Master's Thesis}}
}

@inproceedings{HoWe15,
 author = {Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{Compact LFT-LPV Modeling With Automated Parameterization for Efficient LPV Controller Synthesis}},
 year = {2015},
 booktitle = {Proc. Amer. Control Conf}
}

@inproceedings{MeHoWe15,
 author = {{Mendez Gonzalez}, Antonio and Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{LPV Formation Control for Non-Holonomic Agents with Directed and Switching Communication Topologies}},
 year = {2015},
 booktitle = {Proc. 54th IEEE Conf. Decision Control}
}

@inproceedings{HoWe15b,
 author = {Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{LFT-LPV Modeling and Control of a Control Moment Gyroscope}},
 year = {2015},
 booktitle = {Proc. 54th IEEE Conf. Decision Control}
}

@phdthesis{Pe15,
 author = {Petersen, Eike},
 abstract = {},
 year = {2015},
 title = {{Integrative Mathematical Modelling and Simulation of Surface Electromyographic Measurements}},
 address = {Hamburg, Germany},
 school = {{University of Hamburg}},
 type = {{Master's Thesis}}
}

@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{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{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.}
}

@inproceedings{BeCoRoAd15,
 author = {Becher, Tobias and Cossel, Constantin and Rostalski, Philipp and Adler, Andy and Weiler, Norbert and Frerichs, Inez},
 abstract = {},
 title = {{Comparison of EIT-derived regional lung opening pressures with global measures of lung mechanics}},
 year = {2015},
 booktitle = {Proc. 16th Int. Conf. Biomedical Applicat. Electr. Impedance Tomography}
}

@inproceedings{AbRaMeHo15,
 author = {Abbas, Hossam Seddik and Rahme, Sandy and Meskin, Nader and Hoffmann, Christian and T{\'o}th, Roland and Mohammadpour, Javad},
 abstract = {},
 title = {{Linear Parameter-Varying Control of a Copolymerization Reactor}},
 year = {2015},
 booktitle = {1st IFAC Workshop LPV Syst.}
}

@inproceedings{HoHaAbWe14b,
 author = {Hoffmann, Christian and Hashemi, Seyed Mahdi and Abbas, Hossam Seddik and Werner, Herbert},
 abstract = {},
 title = {{Synthesis of LPV Controllers With Reduced Implementation Complexity}},
 pages = {3766--3771},
 year = {2014},
 booktitle = {Proc. Amer. Control Conf}
}

@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{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}
}

@inproceedings{HoWe14b,
 author = {Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{Linear Parameter-Varying Control of Complex Mechanical Systems}},
 pages = {6147--6152},
 year = {2014},
 booktitle = {Proc. 17th IFAC World Congr.}
}

@incollection{WeMaMuSc14,
 author = {Weiss, Patrick and M{\"a}nnel, Georg and M{\"u}nte, Thomas and Schweikard, Achim and Maehle, Erik},
 abstract = {},
 title = {{Parametrization of an Exoskeleton for Robotic Stroke Rehabilitation}},
 pages = {833--843},
 publisher = {{Springer International Publishing}},
 isbn = {978-3-319-08072-7},
 editor = {Jensen, Winnie and Andersen, K{\ae}seler Ole and Akay, Metin},
 booktitle = {{Replace, Repair, Restore, Relieve -- Bridging Clinical and Engineering Solutions in Neurorehabilitation: Proceedings of the 2nd International Conference on NeuroRehabilitation (ICNR2014), Aalborg, 24-26 June, 2014}},
 year = {2014}
}

@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.}
}

@inproceedings{HoEiWe14,
 author = {Hoffmann, Christian and Eichler, A. and Werner, Herbert},
 abstract = {},
 title = {{Control of Heterogeneous Groups of LPV Systems Interconnected Through Directed and Switching topologies}},
 pages = {5156--5161},
 year = {2014},
 booktitle = {Proc. Amer. Control Conf}
}

@inproceedings{EiHoWe14,
 author = {Eichler, A. and Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{Conservatism of Analysis and Controller Synthesis of Decomposable Systems}},
 year = {2014},
 booktitle = {Proc. 17th IFAC World Congr.}
}

@inproceedings{HoWe14,
 author = {Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{Complexity of Implementation and Synthesis in Linear Parameter-Varying Control}},
 pages = {11749--11760},
 year = {2014},
 booktitle = {Proc. 17th IFAC World Congr.}
}

@inproceedings{LiHoWe13,
 author = {Liu, Qin and Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{Distributed Control of Parameter-Varying Spatially Interconnected Systems Using Parameter-Dependent Lyapunov Functions}},
 pages = {3278--3283},
 year = {2013},
 booktitle = {Proc. Amer. Control Conf}
}

@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}
}

@inproceedings{MeHoRaWe13,
 author = {{Mendez Gonzalez}, Antonio and Hoffmann, Christian and Radisch, Christian and Werner, Herbert},
 abstract = {},
 title = {{LPV Observer Design and Damping Control of Container Crane Load Swing}},
 year = {2013},
 booktitle = {Proc. Europ. Control Conf}
}

@inproceedings{EiHoWe13b,
 author = {Eichler, A. and Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{Robust Control of Decomposable LPV Systems Under Time-Invariant and Time-Varying Interconnection Topologies (Part 1)}},
 year = {2013},
 booktitle = {Proc. 52nd IEEE Conf. Decision Control}
}

@inproceedings{HoEiWe13,
 author = {Hoffmann, Christian and Eichler, A. and Werner, Herbert},
 abstract = {2013 American Control Conference, June 17-June 19, 2013, Washington, DC, USA},
 title = {{Distributed Control of Linear Parameter-Varying Decomposable Systems}},
 pages = {2386--2391},
 year = {2013},
 booktitle = {Proc. Amer. Control Conf}
}

@inproceedings{WoHoWe13,
 author = {Wollnack, Simon and Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{Affine LPV Controller Design with Linear Growth of the Number of LMI Constraints}},
 year = {2013},
 booktitle = {Proc. Amer. Control Conf}
}

@inproceedings{EiHoWe13,
 author = {Eichler, A. and Hoffmann, Christian and Werner, Herbert},
 abstract = {},
 title = {{Design of Tutorial Activities and Homework Assignments for a Large-Enrollment Introductory Course in Control Systems}},
 pages = {43--48},
 year = {2013},
 booktitle = {Proc. IFAC Symp. Adv. Contr. Educat.}
}

@inproceedings{HoHaAbWe13,
 author = {Hoffmann, Christian and Hashemi, Seyed Mahdi and Abbas, Hossam Seddik and Werner, Herbert},
 abstract = {},
 title = {{Benchmark Problem --- Nonlinear Control of a 3-DOF Robotic Manipulator}},
 pages = {5534--5539},
 year = {2013},
 booktitle = {Proc. 52nd IEEE Conf. Decision Control}
}

@incollection{RoSt13,
 author = {Rostalski, Philipp and Sturmfels, Bernd},
 abstract = {},
 title = {{Chapter 5: Dualities}},
 pages = {203--249},
 isbn = {978-1-61197-228-3},
 series = {MOS-SIAM series on optimization},
 editor = {Blekherman, Grigoriy and Parrilo, Pablo A. and R, Thomas Rekha},
 booktitle = {{Semidefinite optimization and convex algebraic geometry}},
 year = {2013}
}

@inproceedings{HoRaWe12,
 author = {Hoffmann, Christian and Radisch, Christian and Werner, Herbert},
 abstract = {51st IEEE Conference on Decision and Control , December 10-13, 2012, Maui, Hawaii, USA},
 title = {{Active Damping of Container Crane Load Swing by Hoisting Modulation - An LPV Approach}},
 pages = {5140--5145},
 year = {2012},
 booktitle = {Proc. 51st IEEE Conf. Decision Control}
}

@inproceedings{HoHaAbWe12,
 author = {Hoffmann, Christian and Hashemi, Seyed Mahdi and Abbas, Hossam Seddik and Werner, Herbert},
 abstract = {A major difficulty encountered in the application of linear parameter-varying (LPV) control is the complexity of synthesis and implementation when the number of scheduling parameters is large. Often heuristic ad hoc solutions involve the neglection of individual scheduling parameters, such that standard LPV controller synthesis methods become applicable. The principle component analysis (PCA) based technique of parameter set mapping (PSM) has been proposed as a systematic way for obtaining LPV models with fewer scheduling parameters. However, controller designs based on an approximate model cannot guarantee stability and performance when implemented on the original plant. In this paper, a posteriori conditions are proposed to assess closed-loop stability and performance. Moreover, a possible synthesis approach is sketched based on iterating between convex optimization problems. A two-degree-of- freedom (2-DOF) robotic manipulator is considered as an illustrative example.},
 title = {{Closed-Loop Stability and Performance Optimization in LPV Control Based on a Reduced Parameter Set}},
 pages = {5146--5151},
 year = {2012},
 booktitle = {Proc. 51st IEEE Conf. Decision Control}
}

@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.}
}

@incollection{LaRo12,
 author = {Laurent, Monique and Rostalski, Philipp},
 abstract = {},
 title = {{The Approach of Moments for Polynomial Equations}},
 pages = {25--60},
 volume = {166},
 publisher = {Springer},
 isbn = {978-1-4614-0769-0},
 series = {International series in operations research {\&} management science},
 editor = {Anjos, Miguel F. and Lasserre, Jean-Bernard},
 booktitle = {{Handbook on semidefinite, conic and polynomial optimization}},
 year = {2012}
}

@phdthesis{Pe12,
 author = {Petersen, Eike},
 abstract = {},
 year = {2012},
 title = {{Patient Airway Pressure Determination in Medical Ventilators using Transmission Line Theory}},
 address = {Hamburg, Germany},
 school = {{Hamburg University of Technology}},
 type = {{Bachelor Thesis}}
}

@phdthesis{Ho11,
 author = {Hoffmann, Christian},
 abstract = {},
 year = {2011},
 title = {{Design and Control of a Novel Portable Mechanical Ventilator}},
 publisher = {{Master's Thesis at the Institute of Control Systems, Hamburg University of Technology}},
 address = {Hamburg, Germany},
 school = {{Hamburg University of Technology}},
 type = {{Master's Thesis}}
}

@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}
}

@phdthesis{Ab10,
 author = {Abbas, Hossam Seddik},
 abstract = {Der Entwurf von Reglern f{\"u}r komplexe nichtlineare Regelstrecken im Framework Linear Parameterver{\"a}nderlicher (LPV) Systeme f{\"u}hrt zu hohem Modellierungs-, Synthese- und Implementierungsaufwand. Zugleich k{\"o}nnen Regelstrecken durch eine verteilte Struktur {\"a}hnlicher interagierender LPV-Subsysteme eine hohe Komplexit{\"a}t erlangen. Die vorliegende Arbeit behandelt Methoden zur Modellierung komplexer LPV-Systeme, sowohl im Sinne nichtlinearer, als auch verteilter Regelstrecken, und beinhaltet verbesserte Entwurfswerkzeuge, die zu niedrigerem Synthese- und Implementierungsaufwand f{\"u}hren.

The controller design for complex nonlinear systems using the framework of linear parameter-varying (LPV) systems often leads to high costs in modeling, synthesis and implementation. Interconnected LPV subsystems also yield complex systems. This thesis presents methods for the modeling of complex LPV systems, in the sense of nonlinear as well as interconnected subsystems and introduces improved controller synthesis tools that lead to reduced synthesis and implementation costs.},
 year = {2010},
 title = {{Linear Parameter-Varying Modeling, Identification and Low-Complexity Controller Synthesis: Ph.D. Thesis}},
 address = {Germany},
 publisher = {Institute of Control Systems},
 school = {{Hamburg University of Technology}}
}

@inproceedings{AdBaRo10,
 author = {Adjiashvili, David and Baes, Michel and Rostalski, Philipp},
 abstract = {},
 title = {{Removing redundant quadratic constraints}},
 pages = {270--281},
 year = {2010},
 booktitle = {Proc. 3rd Int. Congr. Conf. Math. Soft}
}

@phdthesis{Ho09,
 author = {Hoffmann, Christian},
 abstract = {},
 year = {2009},
 title = {{Development of a Control System for the Shanghai Subway Flood Gate System}},
 publisher = {{Bachelor Thesis at the Department of Mechanical Engineering, Tongji University, Shanghai}},
 address = {Hamburg, Germany and Shanghai, China},
 school = {{Hamburg University of Technology and Tongji University Shanghai}},
 type = {{Project Work}}
}

@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.}
}

@phdthesis{Ro09,
 author = {Rostalski, Philipp},
 abstract = {},
 year = {2009},
 title = {{Algebraic moments: Real root finding and related topics}},
 address = {Z{\"u}rich},
 school = {{ETH Zurich}},
 type = {{Ph.D. Thesis}}
}

@incollection{LaLaRo08b,
 author = {Lasserre, Jean-Bernard and Laurent, Monique and Rostalski, Philipp},
 abstract = {},
 title = {{A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals}},
 pages = {125--155},
 volume = {149},
 publisher = {Springer},
 isbn = {978-0-387-09685-8},
 series = {The IMA volumes in mathematics and its applications},
 editor = {Putinar, Mihai and Sullivant, Seth},
 booktitle = {{Emerging applications of algebraic geometry}},
 year = {2008}
}

@inproceedings{SeHeRoPa08,
 author = {Setz, C. and Heinrich, A. and Rostalski, Philipp and Papafotiou, G. and Morari, Manfred},
 abstract = {},
 title = {{Application of Model Predictive Control to a Cascade of River Power Plants}},
 pages = {11978--11983},
 year = {2008},
 booktitle = {Proc. 17th IFAC World Congr.}
}

@phdthesis{Ho08,
 author = {Hoffmann, Christian},
 abstract = {},
 year = {2008},
 title = {{Modelling and Control of a Cooling System for Power Electronics on a Commercial Aircraft}},
 publisher = {{Bachelor Thesis at the Institute of Thermo- and Fluiddynamics, Hamburg University of Technology}},
 address = {Hamburg, Germany},
 school = {{Hamburg University of Technology}},
 type = {{Bachelor Thesis}}
}

@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.}
}

@INPROCEEDINGS{Lasserre2008-fe,
  title           = "Computing the real variety of an ideal: a real algebraic and symbolic-numeric algorithm",
  booktitle       = "Proceedings of the 2008 {ACM} symposium on Applied
                     computing - {SAC} '08",
  author          = "Lasserre, Jean and Laurent, Monique and Rostalski, Philipp",
  publisher       = "ACM Press",
  year            =  2008,
  address         = "New York, New York, USA",
  conference      = "the 2008 ACM symposium",
  location        = "Fortaleza, Ceara, Brazil"
}

@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.}
}

@inproceedings{BaFoRo07,
 author = {Bates, Daniel J. and Fotiou, Ioannis A. and Rostalski, Philipp},
 abstract = {A new method for nonlinear constrained optimal control based on numerical algebraic geometry is presented. First, the optimal control problem is formulated as a parametric optimization program. Then, certain structural information related to the optimization problem is computed off-line. Afterwards, given this information, numerical algebraic geometry techniques are used to efficiently obtain the optimal control input (i.e. optimal solution) of the original control problem in real time. By using homotopy continuation over the field of complex numbers, this approach has a probability-one guarantee of finding the {\textless}i{\textgreater}global{\textless}/i{\textgreater} optimal solution to the problem at hand.},
 title = {{A numerical algebraic geometry approach to nonlinear constrained optimal control}},
 pages = {6256--6261},
 year = {2007},
 booktitle = {Proc. 46th IEEE Conf. Decision Control}
}

@inproceedings{BeRoMo07,
 author = {Besselmann, T. and Rostalski, Philipp and Morari, Manfred},
 abstract = {In this paper the concept of Hybrid Parameter-Varying Model Predictive Control (HPV-MPC) is applied for lateral vehicle stabilization. Parameter-varying in the MPC context means that a prediction model with non-constant, parameter-varying system matrices is employed. In the investigated scenario, the displacement of a car on an icy road under a side wind gust shall be mitigated. In order to explore a possible reduction of online computations and the inherent degradation of control performance, the nonlinear model of the lateral dynamics is approximated in various ways. A comparison between controllers using prediction models varying from the full nonlinear model, as an indication for the maximal achievable performance, to a linear model has been performed. Particular emphasis was put on the hybrid parameter-varying prediction model, to investigate their potential in terms of computational effort and control performance.},
 title = {{Hybrid Parameter-Varying Model Predictive Control for lateral vehicle stabilization}},
 pages = {1068--1075},
 year = {2007},
 booktitle = {Proc. Europ. Control Conf}
}

@inproceedings{FoRoStMo06,
 author = {Fotiou, Ioannis A. and Rostalski, Philipp and Sturmfels, Bernd and Morari, Manfred},
 abstract = {We present a method for nonlinear parametric optimization based on algebraic geometry. The problem to be studied, which arises in optimal control, is to minimize a polynomial function with parameters subject to semialgebraic constraints. The method uses Grobner bases computation in conjunction with the eigenvalue method for solving systems of polynomial equations. In this way, certain companion matrices are constructed off-line. Then, given the parameter value, an on-line algorithm is used to efficiently obtain the optimizer of the original optimization problem in real time},
 title = {{An algebraic geometry approach to nonlinear parametric optimization in control}},
 pages = {6 pp},
 year = {2006},
 booktitle = {Proc. Amer. Control Conf}
}

@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.}
}

@inproceedings{LiRo06,
 author = {Lichtenberg, Gerwald and Rostalski, Philipp},
 abstract = {Algorithms to approximate the evolution of probability density functions for stochastic hybrid systems rely on the knowledge of appropriate short time propagators. It is shown that a path integral propagator known for continuous stochastic systems can be adopted to the hybrid case. With this propagator, the HybPathTree algorithm performs well concerning precision and computational effort, e.g. in reachability analysis.},
 title = {{Using Path Integral Short Time Propagators for Numerical Analysis of Stochastic Hybrid Systems}},
 pages = {179--184},
 year = {2006},
 booktitle = {Proc. 2nd IFAC Conf. on Analysis and Des. Hybrid Syst.}
}

@phdthesis{Ro04,
 author = {Rostalski, Philipp},
 abstract = {},
 year = {2004},
 title = {{Erreichbarkeitsanalyse stochastischer hybrider Systeme mittels Pfadintegralen}},
 type = {{Diploma Thesis}}
}

@phdthesis{Ro03,
 author = {Rostalski, Philipp},
 abstract = {},
 year = {2003},
 title = {{Modellgest{\"u}tzte Volumenstromregelung eines Magnetproportionalventils}},
 type = {{Project Work}}
}