English(EN) Koopman operator theory: fundamentals, control, and applications

Koopman算子理论教程涵盖线性系统表示与控制

作者 PulseAugur 编辑部 · [1 个来源] · 2026-07-03 04:00

本文介绍了Koopman算子理论，一种用于线性表示复杂动力学系统的方法。它详细介绍了数据驱动技术，如扩展动态模式分解（EDMD），用于创建有限维近似。该教程还涵盖了系统与控制中的应用，包括控制器设计和带有配套GitHub代码的仿真研究。 AI

影响为复杂系统的建模和控制提供了理论框架和实用工具，可能影响机器人和自主系统中的AI应用。

排序理由该集群包含一篇在arXiv上发表的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

AI 生成摘要 · Google Gemini · 来自 1 个来源。我们如何撰写摘要 →

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arXiv cs.LG TIER_1 English(EN) · Igor Mezi\'c, Jorge Cort\'es, Karl Worthmann, Mircea Lazar, Armin Lederer · 2026-07-03 04:00

Koopman算子理论：基础、控制与应用

arXiv:2607.01819v1 Announce Type: cross Abstract: The Koopman operator has gained considerable attention due to its ability to provide a global linear representation of highly complex dynamical systems. The operator describes nonlinear dynamics in a linear way through the lens of…