Applied Koopman operator theory for power systems technology [PDF]
Nonlinear Theory and Its Applications IEICE, 2016 31 pages, 11 ...
Yoshihiko Susuki +2 more
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Asymptotic Phase and Amplitude for Classical and Semiclassical Stochastic Oscillators via Koopman Operator Theory [PDF]
Mathematics, 2021 The asymptotic phase is a fundamental quantity for the analysis of deterministic limit-cycle oscillators, and generalized definitions of the asymptotic phase for stochastic oscillators have also been proposed. In this article, we show that the asymptotic
Yuzuru Kato +3 more
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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
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Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
IEEE Access, 2022 This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique.
Mohammadhosein Bakhtiaridoust +3 more
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Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator [PDF]
SIAM Journal on Applied Dynamical Systems, 2017 We establish the convergence of a class of numerical algorithms, known as Dynamic Mode Decomposition (DMD), for computation of the eigenvalues and eigenfunctions of the infinite-dimensional Koopman operator. The algorithms act on data coming from observables on a state space, arranged in Hankel-type matrices.
Hassan Arbabi, Igor Mezic
exaly +4 more sources
Temporally consistent Koopman autoencoders for forecasting dynamical systems [PDF]
Scientific ReportsAbsence of sufficiently high-quality data often poses a key challenge in data-driven modeling of high-dimensional spatio-temporal dynamical systems.
Indranil Nayak +4 more
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Optimal DMD Koopman Data-Driven Control of a Worm Robot [PDF]
BiomimeticsBio-inspired robots are devices that mimic an animal’s motions and structures in nature. Worm robots are robots that are inspired by the movements of the worm in nature. This robot has different applications such as medicine and rescue plans.
Mehran Rahmani, Sangram Redkar
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Enhancing gas concentration prediction and ventilation efficiency in deep coal mines: a hybrid DL-Koopman and Fuzzy-PID framework [PDF]
Scientific ReportsWith the increasing depth of coal mining operations, traditional ventilation systems are becoming insufficient to address the growing safety and operational challenges, particularly in dynamic underground environments.
Keyi Yuan, Ke Gao, Yujiao Liu
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A Koopman operator-based prediction algorithm and its application to COVID-19 pandemic and influenza cases [PDF]
Scientific ReportsFuture state prediction for nonlinear dynamical systems is a challenging task. Classical prediction theory is based on a, typically long, sequence of prior observations and is rooted in assumptions on statistical stationarity of the underlying stochastic
Igor Mezić +8 more
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Algorithmic (Semi-)Conjugacy via Koopman Operator Theory
2022 IEEE 61st Conference on Decision and Control (CDC), 2022 Iterative algorithms are of utmost importance in decision and control. With an ever growing number of algorithms being developed, distributed, and proprietarized, there is a similarly growing need for methods that can provide classification and comparison.
William T. Redman +4 more
openaire +2 more sources