Systems Theory and Automatic Control

Systems and Control Seminar in the Winter Semester 2015/2016

Lyapunov functions for nonlinear discrete-time systems: a constructive approach


Roman Geiselhart
Chair of Dynamical Systems
University of Passau

Time and Place

The seminar talk takes place on November 17, 2015 at 10.00 a.m. in building 07, room 208 at Universitätsplatz 2.


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.

Information about the Speaker

-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

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