JACIII Vol.27 No.3 pp. 378-385
doi: 10.20965/jaciii.2023.p0378

Research Paper:

Novel Nonlinear Control for a Class of Non-Integer Order Time Lag Gene System

Xiaoling Shi*,**,†

*Department of Mining Engineering, Luliang University
1 Xueyuan Road, Lishi District, Luiliang, Shanxi 033001, China

**School of Mechanical Engineering, North University of China
3 Xueyuan Road, Taiyuan, Shanxi 030000, China

Corresponding author

February 9, 2022
January 10, 2023
May 20, 2023
stabilization control, impulsive controller, bifurcation analysis, transcription rate

This study presents the bifurcation analysis and stabilization via the impulsive control of a fractional-order gene regulatory network with time delay. First, the author chooses the transcription rate k as the bifurcation parameter and obtains the Hopf bifurcation condition by analyzing its characteristic equation. The research shows that Hopf bifurcation occurs when the transcription rate k exceeds a critical value. This bifurcation behavior may destabilize the system. Subsequently, the author designs an impulsive controller to stabilize the system. Finally, simulation examples are used to verify our theory.

Cite this article as:
X. Shi, “Novel Nonlinear Control for a Class of Non-Integer Order Time Lag Gene System,” J. Adv. Comput. Intell. Intell. Inform., Vol.27 No.3, pp. 378-385, 2023.
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Last updated on Jul. 19, 2024