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Date de publication : Mar 02, 2020 2:49:1 PM
Fabian Wirth, Professor Univeristy of Passay, (Germany) gives a seminar Thursday 12th March 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
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