Novel Nonlinear Control for a Class of Non-Integer Order Time Lag Gene System-Reference-Cited by-同舟云学术

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

Published:2023-05-20 Issue:3 Volume:27 Page:378-385
ISSN:1883-8014
Container-title:Journal of Advanced Computational Intelligence and Intelligent Informatics
language:en
Short-container-title:JACIII

Author:

Shi Xiaoling¹²

Affiliation:

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

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

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.

Funder

Higher Education Institutions in Shanxi

Basic Research Program of Shanxi Province

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

Reference24 articles.

1. S. Sinha et al., “Behavior-related gene regulatory networks: A new level of organization in the brain,” Proc. of the National Academy of Sciences, Vol.117, No.38, pp. 23270-23279, 2020. https://doi.org/10.1073/pnas.1921625117

2. A. Pratapa et al., “Benchmarking algorithms for gene regulatory network inference from single-cell transcriptomic data,” Nature Methods, Vol.17, No.2, pp. 147-154, 2020. https://doi.org/10.1038/s41592-019-0690-6

3. X. Wang, S. Huang, and Z. Xiang, “Output feedback finite-time stabilization of a class of nonlinear time-delay systems in the p-normal form,” Int. J. of Robust and Nonlinear Control, Vol.30, No.11, pp. 4418-4432, 2020. https://doi.org/10.1002/rnc.4996

4. H. Li, X. Xu, and X. Ding, “Finite-time stability analysis of stochastic switched Boolean networks with impulsive effect,” Applied Mathematics and Computation, Vol.347, pp. 557-565, 2019. https://doi.org/10.1016/j.amc.2018.11.018

5. S. Zhu, J. Lu, and Y. Liu, “Asymptotical stability of probabilistic Boolean networks with state delays,” IEEE Trans. on Automatic Control, Vol.65, No.4, pp. 1779-1784, 2019. https://doi.org/10.1109/TAC.2019.2934532