Finite-time synchronization of fractional-order gene regulatory networks with time delay

被引：59

作者：

Qiao, Yuanhua ^{[1
]}

Yan, Hongyun ^{[1
]}

Duan, Lijuan ^{[2
,3
,4
]}

Miao, Jun ^{[5
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

[2] Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China

[3] Beijing Key Lab Trusted Comp, Beijing 100124, Peoples R China

[4] Natl Engn Lab Key Technol Informat Secur Level Pr, Beijing 100124, Peoples R China

[5] Beijing Informat Sci & Technol Univ, Sch Comp Sci, Beijing 100101, Peoples R China

来源：

NEURAL NETWORKS | 2020年 / 126卷

基金：

中国国家自然科学基金;

关键词：

Fractional-order; Gene regulatory networks; Feedback control; Finite-time synchronization; CELLULAR NEURAL-NETWORKS; LIMIT-CYCLES; STABILITY; SYSTEMS; BIFURCATION;

D O I：

10.1016/j.neunet.2020.02.004

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

As multi-gene networks transmit signals and products by synchronous cooperation, investigating the synchronization of gene regulatory networks may help us to explore the biological rhythm and internal mechanisms at molecular and cellular levels. We aim to induce a type of fractional-order gene regulatory networks to synchronize at finite-time point by designing feedback controls. Firstly, a unique equilibrium point of the network is proved by applying the principle of contraction mapping. Secondly, some sufficient conditions for finite-time synchronization of fractional-order gene regulatory networks with time delay are explored based on two kinds of different control techniques and fractional Lyapunov function approach, and the corresponding setting time is estimated. Finally, some numerical examples are given to demonstrate the effectiveness of the theoretical results. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页码：1 / 10

页数：10

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