Since May 2019 I amĀ affiliated with the Department of Applied Mathematics. Before I was a post-doc at the University of Hamburg and the University of Wuppertal, where I also held a temporary professor position (`Vertretungsprofessor') in Fall 2018/19. My mathematical origins (undergraduate studies) are at the TU Wien.

My researchĀ interests broadly center around (functional) analysis and particularly operator theory with applications in the analysis and control of pde's.

In more detail, some research foci have been semigroup theory, functional calculus, input-to-state stability of infinite-dimensional systems and funnel control.

Besides, I likeĀ optimising constants and Crouzeix's conjecture.

Expertise

  • Mathematics

    • Semigroup
    • Admissibility
    • Operators
    • Control System
    • Dimensional System
    • Parabolic
    • Strongly Continuous Semigroup
  • Computer Science

    • Control

Organisations

See here:Ā  here

Publications

2024

A dual notion to BIBO stability (2024)Journal of mathematical analysis and applications, 545(2) (E-pub ahead of print/First online). Schwenninger, F. & Wierzba, A. A.https://doi.org/10.1016/j.jmaa.2024.129156Embeddings between Barron spaces with higher-order activation functions (2024)Applied and Computational Harmonic Analysis, 73. Article 101691. Heeringa, T. J., Spek, L., Schwenninger, F. L. & Brune, C.https://doi.org/10.1016/j.acha.2024.101691BIBO stability of port-Hamiltonian systems (2024)[Working paper › Preprint]. ArXiv.org. Schwenninger, F. L. & Wierzba, A. A.https://doi.org/10.48550/arXiv.2410.12697The algebraic numerical range as a spectral set in Banach algebras (2024)[Working paper › Preprint]. ArXiv.org. Blazhko, H., Homza, D., Schwenninger, F. L., de Vries, J. & Wojtylak, M.https://doi.org/10.48550/arXiv.2410.10678A universal example for quantitative semi-uniform stability (2024)[Working paper › Preprint]. ArXiv.org. Arora, S., Schwenninger, F., Vukusic, I. & Waurick, M.https://doi.org/10.48550/arXiv.2410.02357

Research profiles

Address

University of Twente

Zilverling (building no. 11), room 3010
Hallenweg 19
7522 NH Enschede
Netherlands

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