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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 2024Show all

17 papers · 1 filter

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…

eess.SY2024★ 8 cited

Data-Driven Predictive Control of Nonholonomic Robots Based on a Bilinear Koopman Realization: Data Does Not Replace Geometry

Mario Rosenfelder, Lea Bold, Hannes Eschmann +3

Advances in machine learning and the growing trend towards effortless data generation in real-world systems has led to an increasing interest for data-inferred models and data-base…

eess.SY2024★ 5 cited

Koopman-based control of nonlinear systems with closed-loop guarantees

Robin Strässer, Julian Berberich, Manuel Schaller +2

In this paper, we provide a tutorial overview and an extension of a recently developed framework for data-driven control of unknown nonlinear systems with rigorous closed-loop guar…

math.DS2024★ 2 cited

Group-Convolutional Extended Dynamic Mode Decomposition

Hans Harder, Feliks Nüske, Friedrich M. Philipp +3

This paper explores the integration of symmetries into the Koopman-operator framework for the analysis and efficient learning of equivariant dynamical systems using a group-convolu…

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…

eess.SY2024★ 8 cited

Data-driven MPC with terminal conditions in the Koopman framework

Karl Worthmann, Robin Strässer, Manuel Schaller +2

We investigate nonlinear model predictive control (MPC) with terminal conditions in the Koopman framework using extended dynamic mode decomposition (EDMD) to generate a data-based…