Koopman operator framework for time series modeling and analysis
type: Item
instance of: scholarly article
title: Koopman operator framework for time series modeling and analysis
author: Amit Surana
published in: Journal of Nonlinear Science
publication date: 2021-04-29T00:00:00Z
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 37M10
Mathematics Subject Classification ID: 68T05
Mathematics Subject Classification ID: 68T10
zbMATH DE Number: 7341392
zbMATH Keywords: Koopman operator
zbMATH Keywords: dynamical systems
zbMATH Keywords: control
zbMATH Keywords: machine learning
zbMATH Keywords: nonlinear time series
zbMATH Keywords: modeling and analysis
describes a project that uses: itsmr
describes a project that uses: clusfind
describes a project that uses: EMD
MaRDI profile type: Publication
full work available at URL: s00332-017-9441-y
OpenAlex ID: W2782661794
cites work: The internet of things: a survey
cites work: A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
cites work: Nonlinear system identification. NARMAX methods in the time, frequency, and spatio-temporal domains
cites work: 10.1162/jmlr.2003.3.4-5.993
cites work: Modern multidimensional scaling. Theory and applications.
cites work: Time-series analysis
cites work: Compressed sensing and dynamic mode decomposition
cites work: Geometry of the ergodic quotient reveals coherent structures in flows
cites work: Applied Koopmanism
cites work: Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses
cites work: Diffusion maps
cites work: Q3830265
cites work: Subspace angles between ARMA models
cites work: A geometric approach to nonlinear fault detection and isolation
cites work: The gap metric: Robustness of stabilization of feedback systems
cites work: Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools
cites work: Metrics for Power Spectra: An Axiomatic Approach
cites work: All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
cites work: Q4039983
cites work: An eigensystem realization algorithm for modal parameter identification and model reduction
cites work: Nonlinear Time Series Analysis
cites work: Hamiltonian Systems and Transformation in Hilbert Space
cites work: Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control
cites work: Multiresolution dynamic mode decomposition
cites work: Q3174160
cites work: A metric for ARMA processes
cites work: Spectral Identification of Networks Using Sparse Measurements
cites work: Global Stability Analysis Using the Eigenfunctions of the Koopman Operator
cites work: Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics
cites work: Spectral properties of dynamical systems, model reduction and decompositions
cites work: Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
cites work: Comparison of systems with complex behavior
cites work: A method for visualization of invariant sets of dynamical systems based on the ergodic partition
cites work: Identification of hybrid systems. A tutorial
cites work: Dynamic mode decomposition with control
cites work: Spectral analysis of nonlinear flows
cites work: The earth mover's distance as a metric for image retrieval
cites work: Embedology
cites work: Dynamic mode decomposition of numerical and experimental data
cites work: Earth mover's distances on discrete surfaces
cites work: Detecting Causality in Complex Ecosystems
cites work: Coherent swing instability of power grids
cites work: Q3658782
cites work: On dynamic mode decomposition: theory and applications
cites work: Q4261789
cites work: Binet-Cauchy kernels on dynamical systems and its application to the analysis of dynamic scenes
cites work: A kernel-based method for data-driven Koopman spectral analysis
cites work: A data-driven approximation of the koopman operator: extending dynamic mode decomposition
cites work: Nonlinear system fault diagnosis based on adaptive estimation
DOI: 10.1007/S00332-017-9441-Y
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