The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries
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 characteristi...
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AIMS Press
2021
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oai:doaj.org-article:6267ce6c7c1d480db3303522c9a199eb2021-11-08T05:45:30ZThe influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries10.3934/mbe.20212601551-0018https://doaj.org/article/6267ce6c7c1d480db3303522c9a199eb2021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021260?viewType=HTMLhttps://doaj.org/toc/1551-0018The 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.Xiaoguang Luo Jiaying Feng Steven FormaneckAIMS Pressarticlefinancial developmenthigh-tech industrynonlinearpstrfractional financial systemlinear feedbackBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5114-5124 (2021) |
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DOAJ |
| collection |
DOAJ |
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EN |
| topic |
financial development high-tech industry nonlinear pstr fractional financial system linear feedback Biotechnology TP248.13-248.65 Mathematics QA1-939 |
| spellingShingle |
financial development high-tech industry nonlinear pstr fractional financial system linear feedback Biotechnology TP248.13-248.65 Mathematics QA1-939 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 |
| description |
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. |
| format |
article |
| author |
Xiaoguang Luo Jiaying Feng Steven Formaneck |
| author_facet |
Xiaoguang Luo Jiaying Feng Steven Formaneck |
| author_sort |
Xiaoguang Luo |
| title |
The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries |
| title_short |
The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries |
| title_full |
The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries |
| title_fullStr |
The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries |
| title_full_unstemmed |
The influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries |
| title_sort |
influence of linear feedback control suppression under the calculation of fractional financial system on the upgrading of high-tech industries |
| publisher |
AIMS Press |
| publishDate |
2021 |
| url |
https://doaj.org/article/6267ce6c7c1d480db3303522c9a199eb |
| work_keys_str_mv |
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| _version_ |
1718442913332985856 |