Results 1 to 10 of about 1,063,107 (310)
Vehicular Applications of Koopman Operator Theory—A Survey [PDF]
IEEE Access, 2023 Koopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. For nearly a century, there had been no efficient means of calculating the Koopman operator for applied engineering purposes.
Waqas A. Manzoor +2 more
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On the Koopman Operator of Algorithms [PDF]
SIAM Journal on Applied Dynamical Systems, 2020 27 pages, 11 ...
Felix Dietrich +2 more
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On Koopman Operator for Burgers' Equation [PDF]
Physical Review Fluids, 2021 We consider the flow of Burgers' equation on an open set of (small) functions in $L^2([0,1])$. We derive explicitly the Koopman decomposition of the Burgers' flow. We identify the frequencies and the coefficients of this decomposition as eigenvalues and eigenfunctionals of the Koopman operator. We prove the convergence of the Koopman decomposition for $
Mikhaël Balabane +2 more
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Dynamical systems and complex networks: a Koopman operator perspective [PDF]
Journal of Physics: ComplexityThe Koopman operator has entered and transformed many research areas over the last years. Although the underlying concept—representing highly nonlinear dynamical systems by infinite-dimensional linear operators—has been known for a long time, the ...
Stefan Klus, Nataša Djurdjevac Conrad
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Decompositions of dynamical systems induced by the Koopman operator [PDF]
Analysis Mathematica, 2019 For a topological dynamical system we characterize the decomposition of the state space induced by the fixed space of the corresponding Koopman operator. For this purpose, we introduce a hierarchy of generalized orbits and obtain the finest decomposition of the state space into absolutely Lyapunov stable sets. Analogously to the measure-preserving case,
Kari Küster
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Diffeomorphically Learning Stable Koopman Operators
IEEE Control Systems Letters, 2021 Comment: Revised version submitted to IEEE Control Systems Letters (L-CSS) with substantially revised exposition, evaluation and proof of Lemma 2 (previously Lemma 8)
Petar Bevanda +5 more
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Koopman Operator–Based Knowledge-Guided Reinforcement Learning for Safe Human–Robot Interaction [PDF]
Frontiers in Robotics and AI, 2022 We developed a novel framework for deep reinforcement learning (DRL) algorithms in task constrained path generation problems of robotic manipulators leveraging human demonstrated trajectories.
Anirban Sinha, Yue Wang
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Nonparametric Control-Koopman Operator Learning: Flexible and Scalable Models for Prediction and Control [PDF]
arXiv.orgThis paper presents a novel Koopman composition operator representation framework for control systems in reproducing kernel Hilbert spaces (RKHSs) that is free of explicit dictionary or input parametrizations. By establishing fundamental equivalences between different model representations, we are able to close the gap of control system operator ...
Petar Bevanda +5 more
semanticscholar +3 more sources
Koopman Operator Applications in Signalized Traffic Systems [PDF]
IEEE Transactions on Intelligent Transportation Systems, 2019 This paper proposes Koopman operator theory and the related algorithm dynamical mode decomposition (DMD) for analysis and control of signalized traffic flow networks. DMD provides a model-free approach for representing complex oscillatory dynamics from measured data, and we study its application to several problems in signalized traffic. We first study
Esther Ling +3 more
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On Numerical Approximations of the Koopman Operator
Mathematics, 2022 We study numerical approaches to computation of spectral properties of composition operators. We provide a characterization of Koopman Modes in Banach spaces using Generalized Laplace Analysis.
Igor Mezić
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