Zobrazeno 1 - 10
of 19 911
pro vyhledávání: '"P. Koopman"'
The control of legged robots, particularly humanoid and quadruped robots, presents significant challenges due to their high-dimensional and nonlinear dynamics. While linear systems can be effectively controlled using methods like Model Predictive Con
Externí odkaz:
http://arxiv.org/abs/2411.14321
In this paper, we provide a tutorial overview and an extension of a recently developed framework for data-driven control of unknown nonlinear systems with rigorous closed-loop guarantees. The proposed approach relies on the Koopman operator represent
Externí odkaz:
http://arxiv.org/abs/2411.10359
Mean field control provides a robust framework for coordinating large-scale populations with complex interactions and has wide applications across diverse fields. However, the inherent nonlinearity and the presence of unknown system dynamics pose sig
Externí odkaz:
http://arxiv.org/abs/2411.06180
Autor:
Ding, Jianqiang, Deka, Shankar A.
In this work, we present a novel Koopman spectrum-based reachability verification method for nonlinear systems. Contrary to conventional methods that focus on characterizing all potential states of a dynamical system over a presupposed time span, our
Externí odkaz:
http://arxiv.org/abs/2411.05554
Autor:
Katayama, Natsuki, Susuki, Yoshihiko
This paper reports a theory of Koopman operators for a class of hybrid dynamical systems with globally asymptotically stable periodic orbits, called hybrid limit-cycling systems. We leverage smooth structures intrinsic to the hybrid dynamical systems
Externí odkaz:
http://arxiv.org/abs/2411.04052
Spatiotemporal graph neural networks (STGNNs) have shown promising results in many domains, from forecasting to epidemiology. However, understanding the dynamics learned by these models and explaining their behaviour is significantly more complex tha
Externí odkaz:
http://arxiv.org/abs/2410.13469
We present a theory of causality in dynamical systems using Koopman operators. Our theory is grounded on a rigorous definition of causal mechanism in dynamical systems given in terms of flow maps. In the Koopman framework, we prove that causal mechan
Externí odkaz:
http://arxiv.org/abs/2410.10103
Autor:
Novikau, Ivan, Joseph, Ilon
We propose an explicit algorithm based on the Linear Combination of Hamiltonian Simulations technique to simulate both the advection-diffusion equation and a nonunitary discretized version of the Koopman-von Neumann formulation of nonlinear dynamics.
Externí odkaz:
http://arxiv.org/abs/2410.03985
Autor:
Hashimoto, Yuka, Iwata, Tomoharu
We propose deep Koopman-layered models with learnable parameters in the form of Toeplitz matrices for analyzing the dynamics of time-series data. The proposed model has both theoretical solidness and flexibility. By virtue of the universal property o
Externí odkaz:
http://arxiv.org/abs/2410.02199
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, the presence of measurement noise poses a significant challenge to accurately
Externí odkaz:
http://arxiv.org/abs/2410.00703