Results 21 to 30 of about 549 (197)
Complexity, 2018 We consider the application of Koopman theory to nonlinear partial differential equations and data-driven spatio-temporal systems. We demonstrate that the observables chosen for constructing the Koopman operator are critical for enabling an accurate ...
J. Nathan Kutz +2 more
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Trajectory Estimation in Unknown Nonlinear Manifold Using Koopman Operator Theory
CoRR, 2023 Formation coordination is a critical aspect of swarm robotics, which involves coordinating the motion and behavior of a group of robots to achieve a specific objective. In formation coordination, the robots must maintain a specific spatial arrangement while in motion.
Yanran Wang +3 more
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Koopman Operator–Based Knowledge-Guided Reinforcement Learning for Safe Human–Robot Interaction
Frontiers in Robotics and AI, 2022 We developed a novel framework for deep reinforcement learning (DRL) algorithms in task constrained path generation problems of robotic manipulators leveraging human demonstrated trajectories.
Anirban Sinha, Yue Wang
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Thompson aggregators, Scott continuous Koopmans operators, and Least Fixed Point theory
Mathematical Social Sciences, 2021 We reconsider the theory of Thompson aggregators proposed by Marinacci and Montrucchio (Marinacci and Montrucchio, 2010). We prove the existence of a Least Fixed Point (LFP) solution to the Koopmans equation. It is a recursive utility function. Our proof turns on demonstrating the Koopmans operator is a Scott continuous function when its domain is an ...
Robert A. Becker +1 more
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Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory
Axioms, 2023 We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. We apply this method to the hypergeometric equation which is the Fuchsian equation with three regular singular points.
Evangelos Melas +4 more
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Koopman Kalman Particle Filter for Dynamic State Estimation of Distribution System
IEEE Access, 2022 Dynamic state estimation (DSE) plays an important role in the real-time control and monitoring of distribution systems, which are high-dimensional space–time systems. The degree of nonlinearity of distribution system increases drastically with the
Kai Wang +4 more
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Koopman Operator Theory for Nonlinear Dynamic Modeling using Dynamic Mode Decomposition
CoRR, 2021 8 pages, 16 ...
Gregory Snyder, Zhuoyuan Song
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Inverted Gaussian Process Optimization for Probabilistic Koopman Operator Discovery
IEEE AccessKoopman Operator theory opens the door for application of rich linear systems theory to data-driven modeling and control of nonlinear dynamic systems.
Abhigyan Majumdar +2 more
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Data-Driven Newton Raphson Controller Based on Koopman Operator Theory
CoRR, 2023 Newton-Raphson controller is a powerful prediction-based variable gain integral controller. Basically, the classical model-based Newton-Raphson controller requires two elements: the prediction of the system output and the derivative of the predicted output with respect to the control input.
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Reduced-order modelling based on Koopman operator theory
CoRRThe present study focuses on a subject of significant interest in fluid dynamics: the identification of a model with decreased computational complexity from numerical code output using Koopman operator theory. A reduced-order modelling method that incorporates a novel strategy for identifying the most impactful Koopman modes was used to numerically ...
Diana Alina Bistrian +2 more
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