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.
Citation: Xiaoguang Luo, Jiaying Feng, Steven Formaneck. The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 5114-5124. doi: 10.3934/mbe.2021260
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.
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Xiaoguang Luo, Jiaying Feng, Steven Formaneck. The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 5114-5124. doi: 10.3934/mbe.2021260
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