@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}
}

@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.}
}

@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{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}}
}

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

@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}}
}

@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{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"
}

@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.}
}

@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}
}

@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}}
}