Results 21 to 30 of about 212,072 (202)

On Analytical Construction of Observable Functions in Extended Dynamic Mode Decomposition for Nonlinear Estimation and Prediction [PDF]

IEEE Control Systems Letters, 2020
We propose an analytical construction of observable functions in the extended dynamic mode decomposition (EDMD) algorithm. EDMD is a numerical method for approximating the spectral properties of the Koopman operator. The choice of observable functions is fundamental for the application of EDMD to nonlinear problems arising in systems and control ...
Marcos Netto, Yoshihiko Susuki, Venkat Krishnan, Yingchen Zhang   +3 more
semanticscholar   +6 more sources

$L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition [PDF]

arXiv.org
Extended dynamic mode decomposition (EDMD) is a well-established method to generate a data-driven approximation of the Koopman operator for analysis and prediction of nonlinear dynamical systems. Recently, kernel EDMD (kEDMD) has gained popularity due to its ability to resolve the challenging task of choosing a suitable dictionary by using the kernel's
Frederik Köhne, Friedrich Philipp, Manuel Schaller, Anton Schiela, Karl Worthmann   +4 more
semanticscholar   +4 more sources

Stochastic modeling of deterministic laser chaos using generator extended dynamic mode decomposition

Nonlinear Theory and Its Applications IEICE
12 pages, 9 ...
Kakutaro Fukushi, Jun Ohkubo
semanticscholar   +5 more sources

A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition [PDF]

arXiv.org
13 pages, subject introduction ...
Christophe Patyn, Geert Deconinck
semanticscholar   +4 more sources

Analytic Extended Dynamic Mode Decomposition [PDF]

23 ...
Alexandre Mauroy, Igor Mezić
openalex   +3 more sources

Data-Based Voltage Analysis of Power Systems via Delay Embedding and Extended Dynamic Mode Decomposition

IFAC-PapersOnLine, 2018
Abstract Data-based assessment of dynamic performances has attracted a lot of interest in the modern power system with high-accurate measurement technologies such as Synchrophasor. In this paper, we report the research effort to do this for voltage dynamics in a rudimentary model of power systems.
Yoshihiko Susuki, Kyoichi Sako
openalex   +2 more sources

Extended dynamic mode decomposition for two paradigms of non-linear dynamical systems

Journal of the Franklin Institute, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John Leventides, Evangelos Melas, Costas Poulios   +2 more
openaire   +4 more sources

Fast prediction method for transient temperature rise of oil immersed power transformer windings based on extended dynamic mode decomposition

AIP Advances
To enhance the accuracy and efficiency of transient temperature rise and hot-spot temperature calculations for oil-immersed transformer windings, this study proposes an extended dynamic mode decomposition computational strategy.
Kexin Liu, Yunpeng Liu, Gang Liu, Yiqin Liu, Wansheng Hu, Zhenbin Du, Weige Wu   +6 more
doaj   +2 more sources

Koopman for stochastic dynamics: error bounds for kernel extended dynamic mode decomposition [PDF]

arXiv.org
We prove $L^\infty$-error bounds for kernel extended dynamic mode decomposition (kEDMD) approximants of the Koopman operator for stochastic dynamical systems.
Maximiliano Hertel, Friedrich Philipp, Manuel Schaller, Karl Worthmann   +3 more
semanticscholar   +3 more sources

Evaluation of the Region of Attractions of Higher Dimensional Hyperbolic Systems using the Extended Dynamic Mode Decomposition [PDF]

arXiv.org, 2022
This paper proposes an original methodology to compute the regions of attraction in hyperbolic and polynomial nonlinear dynamical systems using the eigenfunctions of the discrete-time approximation of the Koopman operator given by the extended dynamic ...
Camilo Garcia-Tenorio, Duvan Tellez‐Castro, Eduardo Mojica‐Nava, Alain Vande Wouwer   +3 more
openalex   +3 more sources