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20192026
most citedKoopman-based feedback design with stability guarantees

45 citations · 147 across the 71 of their papers we have counts for

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Showing 2024 · math.OCShow all

8 papers · 2 filters

math.OC2024★ 3 cited

Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability

Lea Bold, Friedrich M. Philipp, Manuel Schaller +1

Data-driven techniques for analysis, modeling, and control of complex dynamical systems are on the uptake. Koopman theory provides the theoretical foundation for the popular kernel…

math.OC2024★ 1 cited

Nonlinear controlled port-Hamiltonian systems: Existence of (optimal) solutions

Willem Esterhuizen, Bernhard Maschke, Till Preuster +2

We investigate the existence of solutions of reversible and irreversible port-Hamilto\-nian systems. To this end, we utilize the associated exergy, a function that is composed of t…

math.OC2024

A continuous-time fundamental lemma and its application in data-driven optimal control

Philipp Schmitz, Timm Faulwasser, Paolo Rapisarda +1

Data-driven control of discrete-time and continuous-time systems is of tremendous research interest. In this paper, we explore data-driven optimal control of continuous-time linear…

math.OC2024

Distributed Optimization for Energy Grids: A Tutorial on ADMM and ALADIN

Lukas Lanza, Timm Faulwasser, Karl Worthmann

The ongoing transition towards energy and power systems dominated by a large number of renewable power injections to the distribution grid poses substantial challenges for system o…

math.OC2024

Towards Efficient Aggregation of Storage Flexibilities in Power Grids

Emrah Öztürk, Kevin Kaspar, Timm Faulwasser +3

The increasing penetration of volatile renewables combined with increasing demands poses a challenge to modern power grids. Furthermore, distributed energy resources and flexible d…

math.OC2024

Perturbations in PDE-constrained optimal control decay exponentially in space

Simone Göttlich, Manuel Schaller, Karl Worthmann

For linear-quadratic optimal control problems (OCPs) governed by elliptic and parabolic partial differential equations (PDEs), we investigate the impact of perturbations on optimal…