Vehicular Applications of Koopman Operator Theory—A Survey [PDF]
IEEE Access, 2023 Koopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. For nearly a century, there had been no efficient means of calculating the Koopman operator for applied engineering purposes.
Waqas A. Manzoor +2 more
doaj +7 more sources
Algorithmic (Semi-)Conjugacy via Koopman Operator Theory [PDF]
2022 IEEE 61st Conference on Decision and Control (CDC), 2022 Iterative algorithms are of utmost importance in decision and control. With an ever growing number of algorithms being developed, distributed, and proprietarized, there is a similarly growing need for methods that can provide classification and ...
Igor Mezic +2 more
exaly +7 more sources
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 ...
Takashi Hikihara +2 more
exaly +7 more sources
On the Utility of Koopman Operator Theory in Learning Dexterous Manipulation Skills [PDF]
CoRR, 2023 Despite impressive dexterous manipulation capabilities enabled by learning-based approaches, we are yet to witness widespread adoption beyond well-resourced laboratories.
Yunhai Han +3 more
semanticscholar +8 more sources
Asymptotic Phase and Amplitude for Classical and Semiclassical Stochastic Oscillators via Koopman Operator Theory [PDF]
Mathematics, 2021 The asymptotic phase is a fundamental quantity for the analysis of deterministic limit-cycle oscillators, and generalized definitions of the asymptotic phase for stochastic oscillators have also been proposed. In this article, we show that the asymptotic
Yuzuru Kato +3 more
doaj +4 more sources
Nonlinear System Identification of Tremors Dynamics: A Data-driven Approximation Using Koopman Operator Theory. [PDF]
Int IEEE EMBS Conf Neural Eng, 2023 People who suffer from tremors have difficulty performing activities of daily living. Efforts in developing a model of a limb with tremors can pave the way for non-surgical tremor suppression techniques.
Xue X, Iyer A, Roque D, Sharma N.
europepmc +2 more sources
Data-Driven Newton Raphson Controller Based on Koopman Operator Theory [PDF]
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 ...
Mi Zhou
semanticscholar +4 more sources
Equivariance and partial observations in Koopman operator theory for partial differential equations [PDF]
Journal of Computational Dynamics, 2023 The Koopman operator has become an essential tool for data-driven analysis, prediction and control of complex systems. The main reason is the enormous potential of identifying linear function space representations of nonlinear dynamics from measurements.
Sebastian Peitz +5 more
semanticscholar +4 more sources
Credit assignment for trained neural networks based on Koopman operator theory
Frontiers of Computer Science, 2022 Credit assignment problem of neural networks refers to evaluating the credit of each network component to the final outputs. For an untrained neural network, approaches to tackling it have made great contributions to parameter update and model revolution
Zhen Liang +5 more
semanticscholar +4 more sources
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.
Yanran Wang +3 more
semanticscholar +3 more sources