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20202026
most citedKoopman-based feedback design with stability guarantees

45 citations · 144 across the 50 of their papers we have counts for

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Showing 2023 · math.OCShow all

6 papers · 2 filters

math.OC2023★ 5 cited

Data-driven MPC with stability guarantees using extended dynamic mode decomposition

Lea Bold, Lars Grüne, Manuel Schaller +1

For nonlinear (control) systems, extended dynamic mode decomposition (EDMD) is a popular method to obtain data-driven surrogate models. Its theoretical foundation is the Koopman fr…

math.OC2023★ 1 cited

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…

math.OC2023

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…

math.OC2023★ 3 cited

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…

math.OC2023

Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable

Achim Ilchmann, Jonas Kirchhoff, Manuel Schaller

The present work is a successor of [Ilchmann, Kirchhoff 2022] on generic controllability and of [Ilchmann, Kirchhoff 2023] on relative generic controllability of linear differentia…

math.OC2023★ 2 cited

Sampled-data funnel control and its use for safe continual learning

Lukas Lanza, Dario Dennstädt, Karl Worthmann +4

We propose a novel sampled-data output-feedback controller for nonlinear systems of arbitrary relative degree that ensures reference tracking within prescribed error bounds. We pro…