A generalized nyquist-shannon sampling theorem using the koopman operator
In the field of signal processing, the sampling theorem plays a fundamental role for signal
reconstruction as it bridges the gap between analog and digital signals. Following the …
reconstruction as it bridges the gap between analog and digital signals. Following the …
Resolvent-Type Data-Driven Learning of Generators for Unknown Continuous-Time Dynamical Systems
A semigroup characterization, or equivalently, a characterization by the generator, is a
classical technique used to describe continuous-time nonlinear dynamical systems. In the …
classical technique used to describe continuous-time nonlinear dynamical systems. In the …
Koopman-Based Learning of Infinitesimal Generators without Operator Logarithm
The Koopman operator has gained significant attention in recent years for its ability to verify
evolutionary properties of continuous-time nonlinear systems by lifting state variables into an …
evolutionary properties of continuous-time nonlinear systems by lifting state variables into an …
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator
Nonlinear optimal control is vital for numerous applications but remains challenging for
unknown systems due to the difficulties in accurately modelling dynamics and handling …
unknown systems due to the difficulties in accurately modelling dynamics and handling …
Online Learning and Control Synthesis for Reachable Paths of Unknown Nonlinear Systems
In this paper, we present a novel method to drive a nonlinear system to a desired state, with
limited a priori knowledge of its dynamic model: local dynamics at a single point and the …
limited a priori knowledge of its dynamic model: local dynamics at a single point and the …
Koopman Spectral Analysis from Noisy Measurements based on Bayesian Learning and Kalman Smoothing
Z Zeng, J Zhou, Y Wang, Z Ping - arXiv preprint arXiv:2410.00703, 2024 - arxiv.org
Koopman spectral analysis plays a crucial role in understanding and modeling nonlinear
dynamical systems as it reveals key system behaviors and long-term dynamics. However …
dynamical systems as it reveals key system behaviors and long-term dynamics. However …
[PDF][PDF] Koopman-Based Data-Driven Techniques for Adaptive Cruise Control System Identification
Accurately identifying the intrinsic model of Adaptive Cruise Control has the potential to
enhance the prediction of automated car-following behavior, helping vehicles' decision …
enhance the prediction of automated car-following behavior, helping vehicles' decision …