arXiv:2606.11629math.DScs.LG2026-06
提出新方法，无需导数即可稳定识别非线性系统
Integral Formulation of QENDy for Robust Nonlinear System Identification
- 用积分形式替代导数计算，避免噪声干扰
- 在含噪数据下仍能准确学习系统动态
- 适合需要高鲁棒性的动力学建模场景
本文提出一种新的二次嵌入方法（QENDy）的积分形式，用于非线性系统的识别。原算法依赖轨迹数据及其时间导数，而导数计算对噪声敏感。新方法不使用时间导数，通过积分形式构建模型，显著提升对噪声的鲁棒性，从而更可靠地学习系统动态特性。
原文摘要 · Abstract (English)
This manuscript proposes an integral formulation of the newly defined quadratic embedding method for identifying nonlinear systems (QENDy). In the original algorithm, trajectory data points along with their time derivatives are used. Methods for calculating time derivatives make the algorithm sensitive to noise. Our integral formulation does not use the time derivatives. This results in a more robust method to learn the dynamics.
系统识别非线性系统鲁棒建模
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