4 citations · 13 across the 12 of their papers we have counts for
4 papers · 1 filter
Koopman for stochastic dynamics: error bounds for kernel extended dynamic mode decomposition
Maximiliano Hertel, Friedrich M. Philipp, Manuel Schaller +1
We prove -error bounds for kernel extended dynamic mode decomposition (kEDMD) approximants of the Koopman operator for stochastic dynamical systems. To this end, we estab…
Excitation of control-affine systems and Koopman error bounds
Philipp Schmitz, Lea Bold, Friedrich M. Philipp +4
The Koopman operator and extended dynamic mode decomposition (EDMD) as a data-driven technique for its approximation have attracted considerable attention as a key tool for modelin…
On Differential-Algebraic Equations with Bounded Spectrum in Banach Spaces
Friedrich M. Philipp
The Weierstraß form for regular DAEs in finite dimensions decouples a linear DAE into an ODE and the nilpotent part of the underlying pencil. Here, we provide necessary and suffici…
Extension theory via boundary triplets for infinite-dimensional implicit port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
The solution of constrained linear partial-differential equations can be described via parametric representations of linear relations. To study these representations, we provide a…