Roman Geiselhart
Chair of Dynamical Systems
University of Passau
In this talk I will present an alternative approach for obtaining a converse Lyapunov theorem for discrete-time system. The proposed approach is constructive as it provides an explicit Lyapunov function. In particular, the existence of global Lyapunov functions for globally exponentially stable (GES) systems is established in a constructive way. Furthermore, for specific classes of systems, the developed converse Lyapunov theorem can be used to establish sufficiency and necessity of the existence of a particular type of Lyapunov functions.
-born in 1984 in Ulm
-married, father of 3 children
-mathematics diploma in 2010 from the University of Würzburg
-mathematics PhD in 2015 from the University of Würzburg (under the supervision of Prof. Dr. Fabian Wirth)
-title of the PhD-thesis: Advances in the stability analysis of large-scale discrete-time systems
-one month research visit in 2012 at the University of Eindhoven, NL (Dr. Mircea Lazar, Electrical Engineering)
-currently a post-doc at the University of Passau
-research interest: Lyapunov methods, Large-scale systems, Networked Control Systems