Hysteresis泛函的逼近
Approximation of Hysteresis Functional
摘要：
我们开发了一个实用的离散模型的滞后的基础上的非线性播放和广义播放，用于一阶守恒律与应用程序的吸附-解吸滞后模型。该模型易于从稀疏数据中校准，并提供丰富的二次曲线。我们比较它与离散正则化Preisach模型。我们还证明了适定性和数值稳定性的类滞后运营商涉及所有这些类型，描述实施和目前的数值例子，使用实验数据。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
