Speaker
Birgit Hillebrecht
Description
The introduction of input-to-state stability (ISS) in control systems research has resulted in numerous investigations into its properties, particularly for finite-dimensional systems. While ISS for these finite-dimensional systems is well-established, its extension to infinite-dimensional systems still presents unresolved challenges. One of these challenges is the determination of ISS gain functions for problems on complex geometries. This work establishes connections between ISS gain functions of finite-dimensional numerical approximations and those of the corresponding continuous systems, addressing both bounded and unbounded control operators. We demonstrate the applicability of these results to dissipative systems.
