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Author

K. Worthmann

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Preprint Sep 2026

Energy-optimal predictive control of discrete-time port-Hamiltonian systems: Closed-loop practical stability

We study a dissipativity-based model predictive control (MPC) scheme for energy-optimal constrained output stabilization of a discrete-time nonlinear SISO port-Hamiltonian system described by difference and differential representation. For the optimal control problem to be solved in each MPC step, we establish a measur...

V. K. Singh, M. Schaller, T. Faulwasser et al. · 0 citations
Preprint Sep 2026

Extended dynamic mode decomposition with Fourier dictionaries: Error bounds and fast implementation

The Koopman operator has gained considerable attention in dynamical systems due to its capability to provide a linear viewpoint for nonlinear systems using data-driven methods such as extended dynamic mode decomposition (EDMD). In this work, we suggest an EDMD-variant with a Fourier dictionary on the $d$-dimensional to...

Felix Bartel, Sandra Ritter, M. Schaller et al. · 0 citations
#machine learning Review Jul 2026

Koopman operator theory: fundamentals, control, and applications

The Koopman operator has gained considerable attention due to its ability to provide a global linear representation of highly complex dynamical systems. The operator describes nonlinear dynamics in a linear way through the lens of real- or complex-valued observable functions. Recently proposed data-driven techniques, l...

Igor Mezic, Jorge Cort'es, K. Worthmann et al. · 2 citations

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