Results 11 to 20 of about 1,082,543 (312)
Closed-loop Koopman operator approximation
Machine Learning: Science and TechnologyThis paper proposes a method to identify a Koopman model of a feedback-controlled system given a known controller. The Koopman operator allows a nonlinear system to be rewritten as an infinite-dimensional linear system by viewing it in terms of an ...
Steven Dahdah, James Richard Forbes
doaj +3 more sources
Deep Koopman Operator With Control for Nonlinear Systems [PDF]
IEEE Robotics and Automation Letters, 2022 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 ...
Hao-bin Shi, M. Meng
semanticscholar +3 more sources
Model-Based Control Using Koopman Operators
Robotics: Science and Systems XIII, 2017 This paper explores the application of Koopman operator theory to the control of robotic systems. The operator is introduced as a method to generate data-driven models that have utility for model-based control methods.
Abraham, Ian +2 more
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Applied Koopman Operator Theory for Power Systems Technology [PDF]
Nonlinear Theory and Its Applications, IEICE, 2016 Koopman operator is a composition operator defined for a dynamical system described by nonlinear differential or difference equation. Although the original system is nonlinear and evolves on a finite-dimensional state space, the Koopman operator itself ...
Hikihara, Takashi +3 more
core +4 more sources
Time-certified Input-constrained NMPC via Koopman Operator [PDF]
IFAC-PapersOnLineDetermining solving-time certificates of nonlinear model predictive control (NMPC) implementations is a pressing requirement when deploying NMPC in production environments.
Liang Wu +2 more
openalex +2 more sources
Extended Kalman filter -- Koopman operator for tractable stochastic optimal control [PDF]
IEEE Control Systems LettersThe theory of dual control was introduced more than seven decades ago. Although it has provided rich insights to the fields of control, estimation, and system identification, dual control is generally computationally prohibitive. In recent years, however,
Mohammad S. Ramadan, Mihai Anitescu
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Robust Approximation of the Stochastic Koopman Operator [PDF]
SIAM Journal on Applied Dynamical Systems, 2020 20 pages, six ...
Mathias Wanner, Igor Mezić
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Koopman operator for Burgers's equation [PDF]
Physical Review Fluids, 2021 The Koopman decomposition of the Burgers' flow is explicitly derived, the frequencies and the coefficients of this decomposition are identified as eigenvalues and eigenfunctionals of the Koopman operator, and the convergence of the Koopman decomposition is proven for $tg0$ for small Cauchy data, and up to $t=0$ for regular Cauchy data.
Mikhael Balabane +2 more
openaire +3 more sources
On the Koopman Operator of Algorithms [PDF]
SIAM Journal on Applied Dynamical Systems, 2020 27 pages, 11 ...
Felix Dietrich +2 more
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Koopman Operators in Robot Learning [PDF]
Koopman 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
openalex +3 more sources