| Issue |
ITM Web Conf.
Volume 45, 2022
2021 3rd International Conference on Computer Science Communication and Network Security (CSCNS2021)
|
|
|---|---|---|
| Article Number | 01024 | |
| Number of page(s) | 6 | |
| Section | Computer Technology and System Design | |
| DOI | https://doi.org/10.1051/itmconf/20224501024 | |
| Published online | 19 May 2022 | |
Resonances of a fractional-order biomedical model with time delay state feedback
1
School of Economics and Management, Jiangsu Maritime Institute, Nanjing, China
2
Department of Basic Courses, the Army Engineering University of PLA, Nanjing, China
* Corresponding author: cuizhoujin@126.com
In the present paper, the primary resonance of a fractional-order Willis aneurysm system with time-delay state feedback control is studied. Using the multiple scale method, the amplitude and phase equations are obtained. The first order approximate solution is derived and the influence of time delay on resonance is studied. The concept of equivalent damping related to time-delay feedback is proposed, and the reasonable selection of feedback gain and time delay is discussed from the point of view of vibration control. The frequency response and external excitation response curves of the system are given. In order to test the stability of the system, bifurcation analysis is carried out. The obtained results are very useful in the clinical diagnosis and treatment of cerebral aneurysms.
© The Authors, published by EDP Sciences, 2022
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