8 citations · 36 across the 32 of their papers we have counts for
41 papers
Equivariance and partial observations in Koopman operator theory for partial differential equations
Sebastian Peitz, Hans Harder, Feliks Nüske +3
The Koopman operator has become an essential tool for data-driven analysis, prediction and control of complex systems. The main reason is the enormous potential of identifying line…
Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
Friedrich Philipp, Manuel Schaller, Karl Worthmann +2
We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned…
On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
We prove a one-to-one correspondence between the geometric formulation of port-Hamiltonian (pH) systems defined by Dirac structures, Lagrange structures, maximal resistive structur…
Hidden regularity in singular optimal control of port-Hamiltonian systems
Timm Faulwasser, Jonas Kirchhoff, Volker Mehrmann +3
We study the problem of state transition on a finite time interval with minimal energy supply for linear port-Hamiltonian systems. While the cost functional of minimal energy suppl…
Infinite-dimensional port-Hamiltonian systems -- a system node approach
Friedrich Philipp, Timo Reis, Manuel Schaller
We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes by Staffans to formulate a~suit…
Error bounds for kernel-based approximations of the Koopman operator
Friedrich Philipp, Manuel Schaller, Karl Worthmann +2
We consider the data-driven approximation of the Koopman operator for stochastic differential equations on reproducing kernel Hilbert spaces (RKHS). Our focus is on the estimation…