Philipp RostalskiFeodor Lynen Scholar (PostDoc) Department of Mathematics University of California, Berkeley Office: 1067 Evans Hall Address: 1067 Evans Hall Dept. of Mathematics University of California Berkeley, CA 94720 - 3840 Email:
Phone: +1 (510) 642-2149 |

Together with Bernd Sturmfels I organizinged the Convex Algebraic Geometry seminar in spring 2010.

and polynomial algebra. The following figure gives an overview about some resent activities:

I am glad to continue this interdisciplinary research as a postdoctoral scholar in the newly founded

NSF Focused Research Group on "Semidefinite Optimization and Convex Algebraic Geometry".

* Projects marked with a star are discontinued. You can find further information on my old homepage.

- Algebraic Methods in Optimization and Control

- Algorithms for real root finding - Applications Projects

- Computation and characterizations of real radical ideals

- Control and Analysis of Polynomial Systems

- Algebraic Methods for Nonlinear Parametric Optimization

- Multidimensional systems

- Energy efficient ventilation

- Control of mechanical systems with backlash (discontinued)

- Control of river powerplants (now continued by Akin Sahin)

- Vehicle stabilisation (now continued by Thomas Besslemann)

- Control of mechanical systems with backlash (discontinued)

- Control of river powerplants (now continued by Akin Sahin)

- Vehicle stabilisation (now continued by Thomas Besslemann)

- Book chapters

The Approach of Moments for Polynomial Equations.

M. Laurent, and P. Rostalski. in Handbook on Semidefinite, Cone and Polynomial Optimization: Theory, Algorithms, Software and Applications., (M.F. Anjos, J.B. Lasserre, eds.), to appear 2010–2011.

A unified approach for real and complex zeros of zero-dimensional ideals.

J.B. Lasserre, M. Laurent, and P. Rostalski. in Emerging Applications of

Algebraic Geometry., (M. Putinar and S. Sullivant, eds.), Vol. 149, Springer,

125–156, 2008.

- Journal publications

Dualities in Convex Algebraic Geometry. P. Rostalski, B. Sturmfels.

Rendiconti di Matematica, Serie VII, Volume 30, Roma (2010), 249–291.

Numerical algebraic geometry for optimal control applications.

P. Rostalski, I.A. Fotiou, D.J. Bates, A.G. Beccuti, and M. Morari.

SIAM Journal on Control and Optimization, 2010. Accepted.

A prolongation-projection algorithm for computing the finite real variety of

an ideal. J.B. Lasserre, M. Laurent and P. Rostalski*, Theoretical Computer

Science, Vol. 410(27-29), 2685–2700, 2009.

Application of model predictive control to a cascade of river power plants.

C. Setz, A. Heinrich, P. Rostalski, G. Papafotiou and M. Morari. in Proceedings

of the 17th. IFAC World Congress, Seoul, Korea, 11876–11983, 2008.

Semidefinite characterization and computation of real radical ideals.

J.B. Lasserre, M. Laurent and P. Rostalski. Foundations of Computational

Mathematics, Vol. 8(5), 607–647, 2008.

A hybrid approach to modelling, control and state estimation of mechanical

systems with backlash. P. Rostalski, T. Besselmann, M. Barić, F. van Belzen

and M. Morari. International Journal of Control. Vol. 80, No. 11, 1729–

1740, 2007.

Parametric optimization and optimal control using algebraic geometry methods.

I. Fotiou, P. Rostalski, P. Parrilo and M. Morari. International Journal

of Control, Vol. 79, No. 11, 1340–1358, 2006.

- Contributions to conferences

Removing redundant quadratic constraints. M. Baes, P. Rostalski, D. Adjiashvili

accepted at the ICMS, Kobe, 2010.

Computing the real variety of an ideal: a real algebraic and symbolic-numeric

algorithm. J.B. Lasserre, M. Laurent, P. Rostalski. SAC ’08: Proceedings

of the 2008 ACM Symposium on Applied Computing, Fortaleza, Brazil, 1845–1846, 2008.

A numerical algebraic geometry approach to nonlinear constrained optimal

control. D.J. Bates, I.A. Fotiou, and P. Rostalski. 46th IEEE Conference

on Decision and Control, New Orleans, USA, 6256–6261, 2007.

Hybrid parameter-varying model predictive control for lateral vehicle stabilization.

T. Besselmann, P. Rostalski and M. Morari. European Control

Conference, Kos, Greece, 1068–1075, 2007.

An algebraic geometry approach to nonlinear parametric optimization in

control. I. Fotiou, P. Rostalski, B. Sturmfels and M. Morari, American

Control Conference, Minneapolis, USA, 3818–3623, 2006.

Using Path Integral Short Time Propagators for Numerical Analysis of

Stochastic Hybrid Systems. G. Lichtenberg and P. Rostalski. IFAC Conference

on Analysis and Design of Hybrid Systems, ADHS, Alghero, Italy,

179–184, 2006.

- PhD
thesis

Algebraic Moments - Real Root Finding and Related Topics. ETH Dissertation No. 13871

Official Version

Algebraic Moments - Real Root finding and Related Topics. PhD Defense Presentation, ETH Zurich, Switzerland in May 2009 Moment matrices and real root finding. Presented at the MSRI Workshop on Algebraic Statistics, Berkeley, USA in December 2008. Real Radical Ideals and the Hankel Operator. Presented at the Discrete Mathematics Seminar, UC Berkeley, USA in November 2008 (and UC Davis Dec. 8, 2008). Quasi-Hankel matrices and the real radical ideal. Presented at the CWI-DIAMANT Seminar "Combinatorics and Optimization", CWI Amsterdam, The Netherlands in September 2008. Application of Model Predictive Control to a Cascade of River Power Plants. Presented at the 17th. IFAC World Congress, Seoul, Korea in June 2008. Pre-computing in Polynomial MPC. Presented at ABB Corporate Research, Baden-Dättwil, Switzerland in December 2007. Analysis and Distributed Control of HVAC Systems, Presented at NCCR MICS Workshop, Neuchtel, Switzerland in July 2007. Characterizing and computing the Real Radical - An SDP Approach, Presented at the Control Group Seminar, University of Cambridge, Cambridge, UK in April 2007. |