Oct 17 – 20, 2023
LAAS
Europe/Paris timezone

Exponentially stable uncertain systems in infinite dimension: converse Lyapunov characterization and some applications

Oct 20, 2023, 10:30 AM
1h
Salle de Conférence (LAAS)

Salle de Conférence

LAAS

Speaker

Mario Sigalotti (Inria, Laboratoire Jacques-Louis Lions)

Description

We discuss infinite-dimensional forward complete dynamical systems which are subject to uncertainties, representing switching parameters or external disturbances. We characterize the uniform (with respect to uncertainties) local, semi-global, and global exponential stability, in terms of coercive and non-coercive Lyapunov functionals. We illustrate the potential usefulness of the result discussing exponential stability of nonlinear retarded systems with uncertainties and exponential stability preservation under sampling for semilinear control switching systems.

Presentation materials