The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries

Date
2021
Authors
Luo, Xiaoguang
Feng, Jiaying
Formaneck, Steven
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Mathematical Sciences
Abstract
The paper uses the panel smooth conversion fractional-order system model to divide the mechanism of financial development in high-Tech industries into two systems. At the same time, the article uses a continuous state to connect these two extreme situations to investigate the nonlinear characteristics of linear feedback control that inhibit the impact of financial development on high-Tech industries. Studies have shown that financial development under a low system has a significant role in promoting high-Tech industries. On the other hand, financial development under the high-level system has a restraining effect on high-Tech industries. There are dual-Threshold characteristics between the scale of financial development and the development of high-Tech industries. Firstly, the scale of financial development should be controlled within [0.553, 0.840]. Secondly, there is a single threshold between the level of financial development and the development of high-Tech industries, and the level of financial development should be controlled within 0.756. © 2021 American Institute of Mathematical Sciences. All rights reserved.
Description
This article is not available at CUD collection. The version of scholarly record of this article is published in Mathematical Biosciences and Engineering (2021), available online at: https://doi.org/10.3934/mbe.2021260
Keywords
Financial development, Fractional financial system, High-Tech industry, Linear feedback, Nonlinear, PSTR, Feedback control, Financial system, Fractional-order systems, High-level systems, Linear feedback control, Nonlinear characteristics, Threshold characteristics, Finance
Citation
Luo, X., Feng, J., & Formaneck, S. (2021). The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries. Mathematical Biosciences and Engineering, 18(5), 5114-5124. https://doi.org/10.3934/mbe.2021260