Estimating time-varying parameters in uncertain differential equations

作者：

Highlights：

• A set of estimates of the time-varying parameters was obtained based on rewritten least squares estimates.

• The idea of regression fitting was proposed to obtain time-varying parameter functions by fitting estimates of the time-varying parameters.

• An uncertain differential equation model for human blood alcohol metabolism was derived, as well as an uncertain differential equation model for the spread of COVID-19.

摘要

•A set of estimates of the time-varying parameters was obtained based on rewritten least squares estimates.•The idea of regression fitting was proposed to obtain time-varying parameter functions by fitting estimates of the time-varying parameters.•An uncertain differential equation model for human blood alcohol metabolism was derived, as well as an uncertain differential equation model for the spread of COVID-19.

论文关键词：Uncertainty theory,Least squares estimation,Regression analysis,Time-varying parameters

论文评审过程：Received 3 July 2021, Revised 8 March 2022, Accepted 9 March 2022, Available online 28 March 2022, Version of Record 28 March 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127084