3 papers
math.OC2025
Projected integral control of impedance passive nonlinear systems
Nicolas Vanspranghe, Pietro Lorenzetti, Lassi Paunonen +1
We propose an abstract framework for solving the constrained set-point tracking problem for impedance passive infinite-dimensional nonlinear systems. The class of systems considere…
math.AP2024
Admissibility theory in abstract Sobolev scales and transfer function growth at high frequencies
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
For strongly continous semigroups on Hilbert spaces, we investigate admissibility properties of control and observation operators shifted along continuous scales of spaces built by…
math.FA2024
A non-uniform Datko-Pazy theorem for bounded operator semigroups
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
We present a non-uniform analogue of the classical Datko-Pazy theorem. Our main result shows that an integrability condition imposed on orbits originating in a fractional domain of…