Research interests
• Mathematical systems and control theory
• Data-driven prediction and control [4, 1]
• Optimal Control of Port-Hamiltonian Systems [3, 5, 6]
• Dynamical Sampling [2, 7]
Research projects
• DeepTurb: Deep Learning in and from Turbulence
• THInKI: Thüringer Hochschulinitiative für KI im Studium
Short CV
I received my PhD degree in Mathematics from the Technical University (TU) Berlin in 2011. The topic of my thesis was the spectral theory of indefinite Sturm-Liouville differential operators. I stayed at TU Berlin and switched topics to the field of Frame Theory. After one year as a substitute professor at the Technical University of Clausthal in 2013 and two more years at TU Berlin, I spent a year at the University of Buenos Aires in Argentina, where I worked on the emerging field of Dynamical Sampling. In 2017, I went back to Germany to learn about and work in the area of Time-Frequency Analysis at the Catholic University of Eichstätt-Ingolstadt. After three years in Eichstätt, it took me to my current location TU Ilmenau in 2020, where I also had spent at least a year during my PhD period. In this course, I enriched my research profile with systems and control theory, in particular port-Hamiltonian systems, optimal control, and the data-driven prediction and control of dynamical systems, using the Koopman paradigm.
References
[1] F. Philipp, M. Schaller, K. Worthmann, S. Peitz, and F. Nüske, Error bounds for kernel-based approximations of the Koopman operator, to appear in Applied and Computational Harmonic Analysis, arXiv: 2301.08637.
[2] O. Christensen, M. Hasannasab, and F. Philipp, Frame properties of operator orbits, Math. Nachr. 293 (2020), 52–66.
[3] T. Faulwasser, B. Maschke, F. Philipp, M. Schaller, and K. Worthmann, Optimal control of port-Hamiltonian descriptor systems with minimal energy supply, SIAM J. Control and Optimization 60 (2022), 2132–2158.
[4] F. Nüske, S. Peitz, F. Philipp, M. Schaller, and K. Worthmann, Finite-data error bounds for Koopman-based prediction and control, J. Nonlinear Sci 33, 14 (2023).
[5] F. Philipp, M. Schaller, T. Faulwasser, B. Maschke, and K. Worthmann, Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems, In: IFAC-PapersOnLine 54:19 (2021), 155–160.
[6] F. Philipp, M. Schaller, K. Worthmann, T. Faulwasser, and B. Maschke, Optimal control of port-Hamiltonian systems: energy, entropy, and exergy submitted, 2023.
[7] F. Philipp, Bessel orbits of normal operators J. Math. Anal. Appl. 448 (2017), 767–785.
