论文标题
滞后功能的近似
Approximation of Hysteresis Functional
论文作者
论文摘要
我们基于非线性游戏和广义游戏开发了一种实用的滞后模型，用于在一阶保护法中，并应用于吸附解吸滞后模型。该模型易于从稀疏数据中校准，并提供丰富的二级曲线。我们将其与离散的正规Preisach模型进行了比较。我们还证明了涉及所有这些类型的磁滞类操作员的适合性和数值稳定性，描述实现并使用实验数据进行数值示例。
We develop a practical discrete model of hysteresis based on nonlinear play and generalized play, for use in first-order conservation laws with applications to adsorption-desorption hysteresis models. The model is easy to calibrate from sparse data, and offers rich secondary curves. We compare it with discrete regularized Preisach models. We also prove well-posedness and numerical stability of the class of hysteresis operators involving all those types, describe implementation and present numerical examples using experimental data.
