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

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

Received:
February 9, 2022
Accepted:
January 10, 2023
Published:
May 20, 2023
Keywords:
stabilization control, impulsive controller, bifurcation analysis, transcription rate
Abstract

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.
Data files:
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Last updated on Mar. 01, 2024