论文标题
通过噪音输入状态数据的多项式系统的保证，耗散性验证
Dissipativity verification with guarantees for polynomial systems from noisy input-state data
论文作者
论文摘要
在本文中，我们研究了没有明确鉴定模型的多项式系统的耗散性验证，但直接来自噪声浪费的测量结果。与大多数非线性系统的数据驱动方法相反，我们使用嘈杂的输入状态数据在所有有限的时间范围内确定了耗散性属性。为此，我们提出了两种噪声特征，以推导基于基于数据的基于基于数据的设置系统。然后，每个表示都用作得出可计算障碍条件的框架，以使用正方形（SOS）优化的噪声浪费数据来验证耗散性属性。
In this paper, we investigate the verification of dissipativity properties for polynomial systems without an explicitly identified model but directly from noise-corrupted measurements. Contrary to most data-driven approaches for nonlinear systems, we determine dissipativity properties over all finite time horizons using noisy input-state data. To this end, we propose two noise characterizations to deduce two data-based set-membership representations of the ground-truth system. Each representation then serves as a framework to derive computationally tractable conditions to verify dissipativity properties with rigorous guarantees from noise-corrupted data using sum of squares (SOS) optimization.
