Non-coercive Lyapunov functions for input-to-state stability of infinite-dimensional systems, Prof. Fabian Wirth, University of Passau, (Germany)


Date & Location : Thursday 12/03/2020 in room Jacques Bordet, LAGEPP, 14h00

Title : Non-coercive Lyapunov functions for input-to-state stability of infinite-dimensional systems

Abstract : We consider an abstract class of infinite-dimensional dynamical systems with inputs. For this class the significance of noncoercive Lyapunov functions is analyzed. It is shown that the existence of such Lyapunov functions implies integral-to-integral input-to-state stability. Assuming further regularity it is possible to conclude input-to-state stability. For a particular class of linear systems with unbounded admissible input operators, explicit constructions of noncoercive Lyapunov functions are provided. An example application for a  heat equation with Dirichlet boundary conditions is discussed.
Based on joint work with Birgit Jacob, Andrii Mironchenko and Jonathan Partington

Date/heure
Date(s) - 12 Mar 2020
14 h 00 min - 15 h 00 min

Emplacement
LAGEPP Salle Jacques Bordet

Catégories

Filed under: Séminaires