Results 41 to 50 of about 1,745 (187)
Data-Driven Koopman Model Predictive Control for Optimal Operation of High-Speed Trains
IEEE Access, 2021 Automatic train operation systems of high-speed trains are critical to guarantee operational safety, comfort, and parking accuracy. However, implementing optimal automatic operation control is challenging due to the train’s uncertain dynamics and ...
Bin Chen +7 more
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Koopman Operator Applications in Signalized Traffic Systems [PDF]
IEEE Transactions on Intelligent Transportation Systems, 2022 This paper proposes Koopman operator theory and the related algorithm dynamical mode decomposition (DMD) for analysis and control of signalized traffic flow networks. DMD provides a model-free approach for representing complex oscillatory dynamics from measured data, and we study its application to several problems in signalized traffic. We first study
Esther Ling +3 more
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Robot Manipulator Control Using a Robust Data-Driven Method
Fractal and Fractional, 2023 Robotic manipulators with diverse structures find widespread use in both industrial and medical applications. Therefore, designing an appropriate controller is of utmost importance when utilizing such robots.
Mehran Rahmani, Sangram Redkar
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Robust Approximation of the Stochastic Koopman Operator [PDF]
, 2020 We analyze the performance of DMD-based approximations of the stochastic Koopman operator for random dynamical systems where either the dynamics or observables are affected by noise.
Wanner, Mathias Thomas
core
Mathematics, 2021 Inferring the latent structure of complex nonlinear dynamical systems in a data driven setting is a challenging mathematical problem with an ever increasing spectrum of applications in sciences and engineering.
Zlatko Drmač, Igor Mezić, Ryan Mohr
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IEEE AccessThis paper proposes Koopman operator-based Stochastic Model Predictive Control (K-SMPC) for enhanced lateral control of autonomous vehicles. The Koopman operator is a linear map representing the nonlinear dynamics in an infinite-dimensional space.
Jin Sung Kim +3 more
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Data-Driven Congestion Control of Micro Smart Sensor Networks for Transparent Substations
IEEE Access, 2021 Micro smart sensors and sensor networks are the key bases for building a fully visible, perceptible and controllable transparent substation in power grid.
Ke Zhou +3 more
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Koopman Operators in Robot Learning
IEEE Transactions on RoboticsKoopman operator theory offers a rigorous treatment of dynamics and has been emerging as an alternative modeling and learning-based control method across various robotics sub-domains. Due to its ability to represent nonlinear dynamics as a linear (but higher-dimensional) operator, Koopman theory offers a fresh lens through which to understand and ...
Lu Shi +7 more
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Analog and symbolic computation through the Koopman framework
Journal of Physics: ComplexityWe develop a Koopman operator framework for studying the computational structure of dynamical systems. Specifically, we show that the resolvent of the Koopman operator provides a natural abstraction of halting, yielding a ‘Koopman halting problem’ that ...
Francesco Caravelli +1 more
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Weighted Frobenius-Perron operators and their spectra [PDF]
Mathematica Bohemica, 2017 First, some classic properties of a weighted Frobenius-Perron operator $\mathcal{P}_\varphi^u$ on $L^1(\Sigma)$ as a predual of weighted Koopman operator $W=uU_\varphi$ on $L^\infty(\Sigma)$ will be investigated using the language of the conditional ...
Mohammad Reza Jabbarzadeh +1 more
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