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On Numerical Approximations of the Koopman Operator
Published 2022-04-01Subjects: “…koopman operator…”
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Autoencoding for the "Good Dictionary" of eigenpairs of the Koopman operator
Published 2024-01-01“…Reduced order modelling relies on representing complex dynamical systems using simplified modes, which can be achieved through the Koopman operator(KO) analysis. However, computing Koopman eigenpairs for high-dimensional observable data can be inefficient. …”
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Data-driven Static Equivalence with Physics-informed Koopman Operators
Published 2024-01-01Subjects: Get full text
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Data-Driven Predictive Control of Interconnected Systems Using the Koopman Operator
Published 2022-06-01Subjects: “…Koopman operator…”
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A quantitative analysis of Koopman operator methods for system identification and predictions
Published 2022-12-01Subjects: “…Koopman operator…”
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Vehicular Applications of Koopman Operator Theory—A Survey
Published 2023-01-01“…Koopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. …”
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Koopman Operator and Path Integral of Quantum Free-Electron Laser Model
Published 2022-10-01Subjects: Get full text
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Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems
Published 2021-10-01Subjects: “…Koopman operator…”
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Applications of the Koopman Operator: Novel Methods and Formulations for Lifted Linear Models
Published 2023“…We then discuss the methods for constructing the Koopman Operator. Specifically, we alleviate the pitfalls of current data-driven methods for construction of the Koopman Operator through the use of a data-driven formulation of Direct Encoding, which is based on integration. …”
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Network Structure Identification Based on Measured Output Data Using Koopman Operators
Published 2022-12-01“…In the second step, we define the dynamical inputs as new variables and identify the dynamics of the network system with measured output data using Koopman operators. Finally, we extract the network structure from the identified dynamics as the information transmitted via the network. …”
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Learning Hamiltonian neural Koopman operator and simultaneously sustaining and discovering conservation laws
Published 2024-02-01“…Here, for the Hamiltonian mechanics, we propose the Hamiltonian neural Koopman operator (HNKO), integrating the knowledge of mathematical physics in learning the Koopman operator, and making it automatically sustain and even discover the conservation laws. …”
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Stability Analysis of Parameter Varying Genetic Toggle Switches Using Koopman Operators
Published 2021-12-01Subjects: Get full text
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Dynamics Near the Three-Body Libration Points via Koopman Operator Theory
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Koopman Operator Theory Applied to Lambert’s Problem with a Spectral Behavior Analysis
Published 2023“…Furthermore, the Koopman Operator enables the computation of these solutions with low computational complexity. …”
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Koopman operator based model predictive control for trajectory tracking of an omnidirectional mobile manipulator
Published 2022-11-01“…This paper designs a Koopman operator based model predictive control (MPC) scheme for trajectory tracking control of an OMM. …”
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Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator
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Asymptotic Phase and Amplitude for Classical and Semiclassical Stochastic Oscillators via Koopman Operator Theory
Published 2021-09-01Subjects: Get full text
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Data-driven moving horizon state estimation of nonlinear processes using Koopman operator
Published 2024“…In this paper, a data-driven constrained state estimation method is proposed for nonlinear processes. Within the Koopman operator framework, we propose a data-driven model identification procedure for state estimation based on the algorithm of extended dynamic mode decomposition, which seeks an optimal approximation of the Koopman operator for a nonlinear process in a higher-dimensional space that correlates with the original process state-space via a prescribed nonlinear coordinate transformation. …”
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Journal Article