Cluster synchronization of fractional-order coupled genetic regulatory networks via pinning control

被引：0
作者：
Yu, Juan [1 ,2 ]
Yao, Rui [3 ]
Hu, Cheng [1 ,2 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
[2] Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R China
[3] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Peoples R China
来源：
NEUROCOMPUTING | 2024年 / 607卷
关键词：
Adaptive control; Cluster synchronization; Coupled genetic regulatory network; Fractional-order system; Pinning control; COMPLEX NETWORKS; STABILITY; SYSTEMS; BIFURCATION; MODEL;
D O I：
10.1016/j.neucom.2024.128363
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Cell-to-cell interaction and quorum sensing are universal in real life and have an extremely important biological significance. Besides, fractional-order calculus has tremendous advantages in describing the memory of neurons and the inheritance of genes. In this article, the cluster synchronization of fractional-order coupled genetic regulatory networks (GRNs) is explored by applying pinning control technique. First of all, a type of coupled fractional-order models about GRNs is proposed based on the quorum sensing and cluster expression characteristics of genes. Secondly, by designing pinning control strategies and fractional-order inequalities, several sufficient criteria are constructed to reach cluster synchronization. Furthermore, the selection rule of pining nodes is provided to conduct what nodes can be selected to be pinned and how many nodes are pinned to achieve cluster synchronization. In addition, the fractional-order adaptive control strategy is designed to regulate control gains. Several numerical results are provided lastly to confirm the theoretical analysis.
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页数：10
相关论文
共 54 条
[1]   Chaotic Fractional-Order Model for Muscular Blood Vessel and its Control via Fractional Control Scheme [J].
Aghababa, Mohammad Pourmahmood ;
Borjkhani, Mehdi .
COMPLEXITY, 2014, 20 (02) :37-46
[2]  
Boyd S., 1994, LINEAR MATRIX INEQUA, DOI 10.1137/1.9781611970777
[3]   Impact of PLL Frequency Limiter on Synchronization Stability of Grid Feeding Converter [J].
Chen, Junru ;
Liu, Muyang ;
Geng, Hua ;
O'Donnell, Terence ;
Milano, Federico .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2022, 37 (03) :2487-2490
[4]   Cluster synchronization in fractional-order complex dynamical networks [J].
Chen, Liping ;
Chai, Yi ;
Wu, Ranchao ;
Sun, Jian ;
Ma, Tiedong .
PHYSICS LETTERS A, 2012, 376 (35) :2381-2388
[5]   Synchronization of Chaotic System Using a Brain-Imitated Neural Network Controller and Its Applications for Secure Communications [J].
Chih-Min Lin ;
Duc-Hung Pham ;
Tuan-Tu Huynh .
IEEE ACCESS, 2021, 9 :75923-75944
[6]   A synchronized quorum of genetic clocks [J].
Danino, Tal ;
Mondragon-Palomino, Octavio ;
Tsimring, Lev ;
Hasty, Jeff .
NATURE, 2010, 463 (7279) :326-330
[7]   Cluster Synchronization of Coupled Genetic Regulatory Networks With Delays via Aperiodically Adaptive Intermittent Control [J].
Guan, Zhi-Hong ;
Yue, Dandan ;
Hu, Bin ;
Li, Tao ;
Liu, Feng .
IEEE TRANSACTIONS ON NANOBIOSCIENCE, 2017, 16 (07) :585-599
[8]   Cluster synchronization control for coupled genetic oscillator networks under denial-of-service attacks: Pinning partial impulsive strategy [J].
Guo, Junfeng ;
Wang, Fei ;
Xue, Qianwen ;
Wang, Mengqing .
CHAOS SOLITONS & FRACTALS, 2023, 177
[9]  
Hardy G. H., 1952, Inequalities
[10]   Multisynchronization of Coupled Heterogeneous Genetic Oscillator Networks via Partial Impulsive Control [J].
He, Ding-Xin ;
Ling, Guang ;
Guan, Zhi-Hong ;
Hu, Bin ;
Liao, Rui-Quan .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (02) :335-342
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