<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Mathematical systems often have nonlinear, time-varying, time-lagged, and uncertain factors, which affect the experimental prediction accuracy. In order to improve the experimental prediction accuracy, this paper inputs the independent and dependent variable data sets as the original samples into a multiple linear regression function performs fitting calculations to obtain the nonlinear factors, and constructs a mathematical model of nonlinear systems based on a multiple linear regression model. In this model, the expected output value is calculated, and the input vector and output vector are continuously controlled for rolling operations to obtain the prediction results. A mathematical experiment of nonlinear system dynamics of vibration of deep water trap-test pipe system is set up to test the prediction ability of the model. The results show that the nonlinear system mathematical model based on the multiple linear regression model has a very high prediction accuracy. In the mathematical experiments of vibration nonlinear system dynamics of deep water trap-test pipe system, the error of the nonlinear system mathematical model based on multiple linear regression model in the transverse flow vibration frequency of the trap pipe column is 2%, which is lower than the single trap pipe calculation model by 4%. The prediction accuracy of the nonlinear system mathematical model based on the multiple linear regression model is higher than that of the single test tube model calculation by 78%. This shows that the nonlinear system mathematical model based on the multiple linear regression model can improve the experimental prediction accuracy.</p>
</abstract>

Mathematical systems often have nonlinear, time-varying, time-lagged, and uncertain factors, which affect the experimental prediction accuracy. In order to improve the experimental prediction accuracy, this paper inputs the independent and dependent variable data sets as the original samples into a multiple linear regression function performs fitting calculations to obtain the nonlinear factors, and constructs a mathematical model of nonlinear systems based on a multiple linear regression model. In this model, the expected output value is calculated, and the input vector and output vector are continuously controlled for rolling operations to obtain the prediction results. A mathematical experiment of nonlinear system dynamics of vibration of deep water trap-test pipe system is set up to test the prediction ability of the model. The results show that the nonlinear system mathematical model based on the multiple linear regression model has a very high prediction accuracy. In the mathematical experiments of vibration nonlinear system dynamics of deep water trap-test pipe system, the error of the nonlinear system mathematical model based on multiple linear regression model in the transverse flow vibration frequency of the trap pipe column is 2%, which is lower than the single trap pipe calculation model by 4%. The prediction accuracy of the nonlinear system mathematical model based on the multiple linear regression model is higher than that of the single test tube model calculation by 78%. This shows that the nonlinear system mathematical model based on the multiple linear regression model can improve the experimental prediction accuracy.

Strategies for constructing mathematical models of nonlinear systems based on multiple linear regression models

Center for Financial Engineering Soochow University

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mathematical systems often have nonlinear, time-varying, time-lagged, and uncertain factors, which affect the experimental prediction accuracy. In order to...

Strategies for constructing mathematical models of nonlinear systems based on multiple linear regression models

Published Online: Apr 28, 2023

Page range: -

Received: Jun 08, 2022

Accepted: Sep 07, 2022

DOI: https://doi.org/10.2478/amns.2023.1.00078

Keywords
Multiple linear regression function, Nonlinear system model, Fitting calculation, Rolling operation, Prediction accuracy

© 2023 Yongcun Shao et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Strategies for constructing mathematical models of nonlinear systems based on multiple linear regression models

Published Online: Apr 28, 2023

Page range: -

Received: Jun 08, 2022

Accepted: Sep 07, 2022

DOI: https://doi.org/10.2478/amns.2023.1.00078

KeywordsMultiple linear regression function, Nonlinear system model, Fitting calculation, Rolling operation, Prediction accuracy

© 2023 Yongcun Shao et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Multiple linear regression function, Nonlinear system model, Fitting calculation, Rolling operation, Prediction accuracy