104 citations · 288 across the 40 of their papers we have counts for
6 papers · 1 filter
Embeddings between Barron spaces with higher order activation functions
Tjeerd Jan Heeringa, Len Spek, Felix Schwenninger +1
The approximation properties of infinitely wide shallow neural networks heavily depend on the choice of the activation function. To understand this influence, we study embeddings b…
On BIBO stability of infinite-dimensional linear state-space systems
Felix L. Schwenninger, Alexander A. Wierzba, Hans Zwart
In this paper we consider BIBO stability of systems described by infinite-dimensional linear state-space representations, filling the so far unattended gap of a formal definition a…
Coercive quadratic converse ISS Lyapunov theorems for linear analytic systems
Andrii Mironchenko, Felix Schwenninger
We derive converse Lyapunov theorems for input-to-state stability (ISS) of linear infinite-dimensional analytic systems. While we show that ISS in general does not imply the existe…
Input-to-state stability for bilinear feedback systems
René Hosfeld, Birgit Jacob, Felix Schwenninger +1
Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obta…
BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators
Anthony Hastir, René Hosfeld, Felix L. Schwenninger +1
This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We…
On Abstract Spectral Constants
Felix L. Schwenninger, Jens de Vries
We prove bounds for a class of unital homomorphisms arising in the study of spectral sets, by involving extremal functions and vectors. These are used to recover three celebrated r…