Einladung zum Vortrag im Kolloquium Technische Kybernetik

 Stability of Dynamical Systems, Mappings and Topology

Dr. Mohamed-Ali Belabbas
Harvard University Cambridge
MA · USA

    Zeit: Mittwoch, 02. Juni 2010 · 14:00 Uhr
Ort: IST-Seminarraum 3.243 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen

Abstract

Problems involving stabilization and synchronization of multi-agent systems have been at the forefront of research efforts in control theory for the past few years. Beyond the rich set of questions with obvious applications to robotics, navigation, etc that these problems yield, the source of this interest lies in the fact that distributed systems put rather unusual constraints on classical results of dynamical systems and control theory, and hence can shed a new light on, or show new limitations of, these results. In this talk, we will present some new results of topological nature regarding the stabilization of nonlinear systems and show how they relate to notions such as the stability of mappings. We will in addition provide a solution to a previously unsolved problem in the control of multi-agent systems with directed interactions.

Biographical Information

Dr. Mohamed-Ali Belabbas is currently a research associate in Applied Mathematics at Harvard University and a visiting lecturer in Electrical Engineering at Yale University. He graduated with degree in Electrical Engineering and Applied mathematics from the Universite Catholique de Louvain and Ecole Centrale Paris and with a PhD in Applied Mathematics from Harvard University. His thesis work, done under the supervision of Prof. Roger Brockett, focus on input-output properties of integrable systems, with an emphasis on the celebrated Toda lattice, and analog computation techniques. His current research interests are in control theory, specifically estimation theory, distributed control systems and stabilization of systems, and geometric and stochastic methods in large scale data analysis. He is a fellow of the BAEF, was a visiting fellow of the Newton Institute for mathematical sciences at Cambridge University.