On Friday, 25th of November, Dr. Radoslav Paulen gave a talk at the International Online Seminar on Interval Methods in Control Engineering. The seminar was organized jointly by Prof. Andreas Rauh (Carl von Ossietzky Universität Oldenburg, Germany), Prof. Tarek Raïssi (Conservatoire National des Arts et Métiers, Paris, France), and Dr. Zhenhua Wang (Harbin Institute of Technology, Harbin, P.R. of China). Dr. Paulen presented his research regarding optimization methods and parameter estimation. The full talk is available on YouTube, see https://www.youtube.com/watch?v=hyyj7FvmesI.
Convexification Techniques for Stationary/Dynamic Global Optimization and Set-Based Computing
In this talk, we review some state-of-the-art approaches to the convexification of algebraic (factorable) functions and to the bounding of the solutions of parametric ordinary differential equations. Particularly, we present interval and Taylor model formalisms. The applications include stationary as well as dynamic optimization, functional analysis under uncertainty, and set-based computation tools. We discuss in detail the use of the presented tools in set-membership estimation.