Results 21 to 30 of about 903 (207)
Diffeomorphically Learning Stable Koopman Operators
IEEE Control Systems Letters, 2022 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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Feedback Stabilization Using Koopman Operator [PDF]
2018 IEEE Conference on Decision and Control (CDC), 2018 Accepted for IEEE Conference on Decision and Control(CDC ...
Bowen Huang, Xu Ma 0002, Umesh Vaidya
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On the Approximability of Koopman-Based Operator Lyapunov Equations
SIAM Journal on Control and Optimization, 2023 Lyapunov equations, Koopman operator, infinite dimensional systems ...
Tobias Breiten, Bernhard Höveler
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Representer Theorem for Learning Koopman Operators
IEEE Transactions on Automatic Control, 2023 In this work, the problem of learning Koopman operator of a discrete-time autonomous system is considered. The learning problem is formulated as a constrained regularized empirical loss minimization in the infinite-dimensional space of linear operators.
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Koopman Operator Spectrum for Random Dynamical Systems [PDF]
Journal of Nonlinear Science, 2019 In this paper we consider the Koopman operator associated with the discrete and the continuous time random dynamical system (RDS). We provide results that characterize the spectrum and the eigenfunctions of the stochastic Koopman operator associated with different types of linear RDS.
Nelida Crnjaric-Zic +2 more
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Complexity, 2018 We consider the application of Koopman theory to nonlinear partial differential equations and data-driven spatio-temporal systems. We demonstrate that the observables chosen for constructing the Koopman operator are critical for enabling an accurate ...
J. Nathan Kutz +2 more
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Stable data‐driven Koopman predictive control: Concentrated solar collector field case study
IET Control Theory & Applications, 2023 Non‐linearity is an inherent feature of practical systems. Although there have been significant advances in the control of nonlinear systems, the proposed methods often require considerable computational resources or rely on local linearization around ...
Tahereh Gholaminejad, Ali Khaki‐Sedigh
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Identification of the Madden–Julian Oscillation With Data‐Driven Koopman Spectral Analysis
Geophysical Research Letters, 2023 The Madden‐Julian Oscillation (MJO), the dominant mode of tropical intraseasonal variability, is commonly identified using the realtime multivariate MJO (RMM) index based on joint empirical orthogonal function (EOF) analysis of near‐equatorial upper and ...
Benjamin R. Lintner +3 more
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Extending the extended dynamic mode decomposition with latent observables: the latent EDMD framework
Machine Learning: Science and Technology, 2023 Bernard O Koopman proposed an alternative view of dynamical systems based on linear operator theory, in which the time evolution of a dynamical system is analogous to the linear propagation of an infinite-dimensional vector of observables.
Said Ouala +4 more
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Koopman operator and its approximations for systems with symmetries [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019 Nonlinear dynamical systems with symmetries exhibit a rich variety of behaviors, often described by complex attractor-basin portraits and enhanced and suppressed bifurcations. Symmetry arguments provide a way to study these collective behaviors and to simplify their analysis.
Anastasiya Salova +4 more
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