Stability analysis of a delay Fractional-order Gene Regulatory Network model with Impulse control

被引：0

作者：

Zhang, Zhe ^{[1
]}

Zhang, Jing ^{[1
]}

Ding, Can ^{[1
]}

Zhang, Yufeng ^{[2
]}

Cheng, Fanyong ^{[3
]}

Liu, Feng ^{[4
]}

机构：

[1] Hunan Univ, Coll Elect & Imformat Engn, Changsha, Peoples R China

[2] Hunan Univ, Educ Sci Res Inst Engn, Changsha, Peoples R China

[3] Minjiang Univ, Key Lab Informat Proc & Intelligent Control, Fuzhou, Fujian, Peoples R China

[4] China Univ Geosci, Sch Automat, Wuhan, Peoples R China

来源：

2019 CHINESE AUTOMATION CONGRESS (CAC2019) | 2019年

关键词：

Fractional-order system; Gene regulatory network system; Impulse control; Stability analysis; HOPF-BIFURCATION ANALYSIS; NEURAL-NETWORK; SYNCHRONIZATION; CHAOS;

D O I：

10.1109/cac48633.2019.8996856

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper attempts to develop a delay three-variable fractional-order gene regulatory networks(FGRNs) model with an impulse input to control the state of of genes are transformed and translated. The formulas for determining the bifurcation points and the conditions of stability are derived by applying Lyapunov stability judgment method. Moreover, via the study of the dynamics, we design a novel controller that can able to be applied for the FGRNs, and it can make the FGRNs stable. Finally, some examples are shown the correctness of the controller we designed.

引用

页码：754 / 758

页数：5

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