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   Articles with "koopman" as a keyword



A local and hierarchical Koopman spectral analysis of fluid dynamics

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recommendations! Published in 2024 at "International Journal for Numerical Methods in Fluids"

DOI: 10.1002/fld.5327

Abstract: A local and hierarchical Koopman spectral analysis is proposed to extend Koopman spectral analysis typically used in a linear system or an ergodic process to its application in general nonlinear dynamics. The continuous and analytic… read more here.

Keywords: koopman spectral; spectral analysis; hierarchical koopman; koopman ... See more keywords

Koopman-inspired data-driven quantification of fluid–structure energy transfers

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recommendations! Published in 2024 at "Physics of Fluids"

DOI: 10.1063/5.0219635

Abstract: The linear-time-invariance notion to the Koopman analysis is a recent advance in fluid mechanics [Li et al., “The linear-time-invariance notion to the Koopman analysis: The architecture, pedagogical rendering, and fluid–structure association,” Phys. Fluids 34(12), 125136… read more here.

Keywords: fluid structure; methodology; koopman; data driven ... See more keywords

From dynamical systems with time-varying delay to circle maps and Koopman operators.

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recommendations! Published in 2017 at "Physical Review E"

DOI: 10.1103/physreve.95.062214

Abstract: In this paper, we investigate the influence of the retarded access by a time-varying delay on the dynamics of delay systems. We show that there are two universality classes of delays, which lead to fundamental… read more here.

Keywords: time varying; varying delay; delay; koopman ... See more keywords

Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator

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recommendations! Published in 2022 at "IEEE Access"

DOI: 10.1109/access.2022.3146417

Abstract: This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique. The key idea is to obtain a Koopman-based reduced-order model of a… read more here.

Keywords: fault detection; koopman; operator; detection isolation ... See more keywords

Graph Neural Network and Koopman Models for Learning Networked Dynamics: A Comparative Study on Power Grid Transients Prediction

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recommendations! Published in 2022 at "IEEE Access"

DOI: 10.1109/access.2022.3160710

Abstract: Continuous monitoring of the spatio-temporal dynamic behavior of critical infrastructure networks, such as the power systems, is a challenging but important task. In particular, accurate and timely prediction of the (electro-mechanical) transient dynamic trajectories of… read more here.

Keywords: koopman; network; power grid; power ... See more keywords

Approximate Reachability for Koopman Systems Using Mixed Monotonicity

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recommendations! Published in 2022 at "IEEE Access"

DOI: 10.1109/access.2022.3194851

Abstract: We present a data-driven method for computing reachable sets for unknown nonlinear dynamical systems using a Koopman operator based approach. We find mixed-monotone decompositions for a class of Koopman lifted dynamics. The mixed-monotone system can… read more here.

Keywords: koopman; approximate reachability; unknown nonlinear; reachability koopman ... See more keywords

Deep Koopman Operator With Control for Nonlinear Systems

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recommendations! Published in 2022 at "IEEE Robotics and Automation Letters"

DOI: 10.1109/lra.2022.3184036

Abstract: Recently Koopman operator has become a promising data-driven tool to facilitate real-time control for unknown nonlinear systems. It maps nonlinear systems into equivalent linear systems in embedding space, ready for real-time linear control methods. However,… read more here.

Keywords: koopman; koopman operator; control; nonlinear systems ... See more keywords

Data-Driven Encoding: A New Numerical Method for Computation of the Koopman Operator

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recommendations! Published in 2023 at "IEEE Robotics and Automation Letters"

DOI: 10.1109/lra.2023.3273515

Abstract: This letter presents a data-driven method for constructing a Koopman linear model based on the Direct Encoding (DE) formula. The prevailing methods, Dynamic Mode Decomposition (DMD) and its extensions are based on least squares estimates… read more here.

Keywords: computation; koopman; koopman operator; driven encoding ... See more keywords

MPC Design of a Continuum Robot for Pulmonary Interventional Surgery Using Koopman Operators

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recommendations! Published in 2024 at "IEEE Robotics and Automation Letters"

DOI: 10.1109/lra.2024.3483048

Abstract: This letter focuses on the flexible tube of a bronchoscope robot used in pulmonary intervention surgery, which is considered as a continuum robot. The dynamics model is proposed based on the Koopman operator, leveraging real… read more here.

Keywords: surgery; robot; koopman; proposed algorithm ... See more keywords

Koopman-Based MPC With Learned Dynamics: Hierarchical Neural Network Approach.

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recommendations! Published in 2022 at "IEEE transactions on neural networks and learning systems"

DOI: 10.1109/tnnls.2022.3194958

Abstract: This article presents a data-driven control strategy for nonlinear dynamical systems, enabling the construction of a Koopman-based linear system associated with nonlinear dynamics. The primary idea is to apply the deep learning technique to the… read more here.

Keywords: koopman; koopman based; control; based mpc ... See more keywords

Koopman-Driven Linearized Model-Based Offline Planning With Application to Freeway Ramp Metering.

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recommendations! Published in 2025 at "IEEE transactions on neural networks and learning systems"

DOI: 10.1109/tnnls.2025.3605015

Abstract: This article proposes a novel model-based planning framework for freeway ramp metering (RM), denoted as Koopman-driven linearized model-based offline planning (KLMOP). This framework integrates the model predictive control (MPC) and offline reinforcement learning (RL) under… read more here.

Keywords: freeway ramp; model based; control; koopman ... See more keywords