Latent persistence in fMRI dynamics during human memory consolidation [PDF]
NeuroImage: ReportsHuman memory consolidation involves the gradual stabilization and reorganization of memory traces over time. Despite numerous empirical and computational accounts emphasizing different aspects of this process, an integrated framework for evaluating ...
Maria Bartzioka, Mohammad Khosravi
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Data-Driven Voltage Control Method of Active Distribution Networks Based on Koopman Operator Theory
MathematicsThe advent of large-scale distributed generation (DG) has introduced several challenges to the voltage control of active distribution networks (ADNs).
Zhaobin Du +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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A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition
CoRRThe framework of Koopman operator theory is discussed along with its connections to Dynamic Mode Decomposition (DMD) and (Kernel) Extended Dynamic Mode Decomposition (EDMD). This paper provides a succinct overview with consistent notation.
Christophe Patyn, G. Deconinck
semanticscholar +4 more sources
Koopman Operator theory applied to Lambert’s problem with a spectral behavior analysis
Acta AstronauticaLambert’s problem has been long studied in the context of space operations; its solution enables accurate orbit determination and spacecraft guidance. This work presents an approximate-analytical solution to Lambert’s problem using the Koopman Operator (KO).
Julia Pasiecznik +2 more
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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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Koopman Operator for Stability Analysis: Theory with a Linear-Radial Product Reproducing Kernel
CoRRKoopman operator, as a fully linear representation of nonlinear dynamical systems, if well-defined on a reproducing kernel Hilbert space (RKHS), can be efficiently learned from data. For stability analysis and control-related problems, it is desired that
Wentao Tang, Xiuzhen Ye
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Analytical Large-Signal Modeling of Inverter-Based Microgrids With Koopman Operator Theory for Autonomous Control [PDF]
IEEE Transactions on Smart Grid, 2023 The microgrid (MG) plays a crucial role in the energy transition, but its nonlinearity presents a significant challenge for large-signal power systems studies in the electromagnetic transient (EMT) time scale.
Zixiao Ma, Zhaoyu Wang, Rui Cheng
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Dynamics Near the Three-Body Libration Points via Koopman Operator Theory [PDF]
Journal of Guidance Control and Dynamics, 2021 This paper investigates the application of the Koopman Operator theory to the motion of a satellite about a libration point in the Circular Restricted Three-Body Problem.
Simone Servadio +2 more
semanticscholar +1 more source
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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