标题： 使用平方和编程从数据中凸计算吸引区域 显示英文标题

标题： Convex computation of regions of attraction from data using Sums-of-Squares programming

摘要： 本文专注于对未知自主动力系统吸引域（ROA）的分析。 目的是探索一种基于矩-平方和（SoS）层次结构的数据驱动方法，该方法即使在动力学结构信息减少的情况下，也能实现新颖的ROA外逼近。 本工作的主要贡献是绕过了系统模型，从而避免了对其多项式结构的重复约束。 数值实验展示了数据对学习逼近集的影响，展示了该方法潜力的前景。 显示英文摘要

摘要： The paper concentrates on the analysis of the region of attraction (ROA) for unknown autonomous dynamical systems. The aim is to explore a data-driven approach based on moment-sum-of-squares (SoS) hierarchy, which enables novel RoA outer approximations despite the reduced information on the structure of the dynamics. The main contribution of this work is bypassing the system model and, consequently, the recurring constraint on its polynomial structure. Numerical experimentation showcases the influence of data on learned approximating sets, offering a promising outlook on the potential of this method.