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- Jean B. Lasserre, Monique Laurent, Philipp Rostalski
- Foundations of Computational Mathematics
- 2006

Abstract
For an ideal I⊆ℝ[x] given by a set of generators, a new semidefinite characterization of its real radical I(Vℝ(I)) is presented, provided it is zero-dimensional (even if I is not). Moreover,… (More)

- Philipp Rostalski, Thomas Johannes Besselmann, Miroslav Baric, Femke van Belzen, Manfred Morari
- Int. J. Control
- 2007

Control of mechanical systems with backlash is a topic well studied by many control practitioners. This interest has been motivated by the fact that backlash in mechanical systems can cause severe… (More)

- Jean B. Lasserre, Monique Laurent, Philipp Rostalski
- Theor. Comput. Sci.
- 2008

We provide a real algebraic symbolic-numeric algorithm for computing the real variety $V_R(I)$ of an ideal $I$, assuming it is finite while $V_C(I)$ may not be. Our approach uses sets of linear… (More)

Solving systems of polynomial equations is a classical problem of mathematics with an emerging number of modern applications, such as coding theory, robotics, computational statistics, etc. Its… (More)

- Philipp Rostalski, Ioannis A. Fotiou, Daniel J. Bates, A. Giovanni Beccuti, Manfred Morari
- SIAM Journal on Optimization
- 2011

A new technique for solving polynomial nonlinear constrained optimal control problems is presented. The problem is reformulated into a parametric optimization problem, which in turn is solved in a… (More)

- Jean B. Lasserre, Monique Laurent, Bernard Mourrain, Philipp Rostalski, Philippe Trebuchet
- J. Symb. Comput.
- 2011

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… (More)

- Daniel J. Bates, Ioannis A. Fotiou, Philipp Rostalski
- 46th IEEE Conference on Decision and Control
- 2007

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,… (More)

- Eike Petersen, Christian Hoffmann, Philipp Rostalski
- IEEE Statistical Signal Processing Workshop (SSP)
- 2018

Factor graphs have recently gained increasing attention as a unified framework for representing and constructing algorithms for signal processing, estimation, and control. One capability that does… (More)

- Jan Graßhoff, Eike Petersen, Marcus Eger, Giacomo Bellani, Philipp Rostalski
- 39th Annual International Conference of the IEEE…
- 2017

Esophageal pressure (Pes) is usually measured in patients receiving mechanical ventilation and is used for the assessment of lung mechanics. However, its interpretation is complicated by the presence… (More)

- Thomas Johannes Besselmann, Philipp Rostalski, Manfred Morari
- European Control Conference (ECC)
- 2007

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… (More)