Results 1 to 10 of about 1,745 (187)
Closed-loop Koopman operator approximation
Machine Learning: Science and TechnologyThis paper proposes a method to identify a Koopman model of a feedback-controlled system given a known controller. The Koopman operator allows a nonlinear system to be rewritten as an infinite-dimensional linear system by viewing it in terms of an ...
Steven Dahdah, James Richard Forbes
doaj +3 more sources
Deep Koopman Operator With Control for Nonlinear Systems
IEEE Robotics and Automation Letters, 2022 Recently Koopman operator has become a promising data-driven tool to facilitate real-time control for unknown nonlinear systems. It maps nonlinear systems into equivalent linear systems in embedding space, ready for real-time linear control methods ...
Haojie Shi, Max Q -H Meng
exaly +4 more sources
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.
Mendez, Miguel A +4 more
core +5 more sources
Uncertainty Quantification of Autoencoder-based Koopman Operator
2024 American Control Conference (ACC), 2023 This paper proposes a method for uncertainty quantification of an autoencoder-based Koopman operator. The main challenge of using the Koopman operator is to design the basis functions for lifting the state.
Quan, Ying Shuai +2 more
core +2 more sources
Vehicular Applications of Koopman Operator Theory—A Survey
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
doaj +3 more sources
Dynamical systems and complex networks: a Koopman operator perspective
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
doaj +3 more sources
Energy and AI, 2023 In this study, a novel application of the Koopman operator for control-oriented modeling of proton exchange membrane fuel cell (PEMFC) stacks is proposed. The primary contributions of this paper are: (1) the design of Koopman-based models for a fuel cell
Carrie M Hall
exaly +3 more sources
Applied Koopman operator theory for power systems technology [PDF]
Nonlinear Theory and Its Applications IEICE, 2016 Koopman operator is a composition operator defined for a dynamical system described by nonlinear differential or difference equation. Although the original system is nonlinear and evolves on a finite-dimensional state space, the Koopman operator itself ...
Yoshihiko Susuki +2 more
exaly +2 more sources
Propagation of Uncertainty with the Koopman Operator
2024 27th International Conference on Information Fusion (FUSION)This paper proposes a new method to propagate uncertainties undergoing nonlinear dynamics using the Koopman Operator (KO). Probability density functions are propagated directly using the Koopman approximation of the solution flow of the system, where the
Hofmann, Christian +4 more
core +5 more sources
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.
Nélida Črnjarić-Žic +2 more
exaly +5 more sources