Luo, XiaoguangFeng, JiayingFormaneck, Steven2021-07-132021-07-13© 20212021Luo, 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.202126015471063https://doi.org/10.3934/mbe.2021260http://hdl.handle.net/20.500.12519/404The 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.enCreative Commons Attribution LicenseFinancial developmentFractional financial systemHigh-Tech industryLinear feedbackNonlinearPSTRFeedback controlFinancial systemFractional-order systemsHigh-level systemsLinear feedback controlNonlinear characteristicsThreshold characteristicsFinanceArticleCopyright : © 2021 American Institute of Mathematical Sciences. All rights reserved.