Space-Dividing-Based Cluster Synchronization of Reaction-Diffusion Genetic Regulatory Networks via Intermittent Control

Xiaona Song, Xingru Li, Choon Ki Ahn, Shuai Song

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


In this paper, we focus on the cluster synchronization of reaction-diffusion genetic regulatory networks (RDGRNs) with time-varying delays, where the state of the system is not only time-dependent but also spatially-dependent due to the presence of the reaction-diffusion terms. First, we construct an intermittent space-dividing controller that effectively combines the two control strategies, making it more cost-effective. Furthermore, based on the activation function division approach, we propose a regulation function division method that can improve the delay upper bound of RDGRNs; meanwhile, the cluster synchronization criteria of RDGRNs under the proposed controller are derived based on the Lyapunov theory and Halanay's et al. inequality techniques. Finally, the criteria's effectiveness is demonstrated by numerical examples of the system in one- and two-dimensional space.

Original languageEnglish
Pages (from-to)55-64
Number of pages10
JournalIEEE Transactions on Nanobioscience
Issue number1
Publication statusPublished - 2022 Jan 1

Bibliographical note

Funding Information:
The work of Xiaona Song was supported in part by the National Natural Science Foundation of China under Grant 61976081 and in part by the Natural Science Fund for Excellent Young Scholars of Henan Province under Grant 202300410127. The work of Choon Ki Ahn was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449.

Publisher Copyright:
© 2002-2011 IEEE.


  • Genetic regulatory networks
  • cluster synchronization
  • intermittent control
  • reaction-diffusion terms
  • space-dividing

ASJC Scopus subject areas

  • Biotechnology
  • Bioengineering
  • Medicine (miscellaneous)
  • Biomedical Engineering
  • Pharmaceutical Science
  • Computer Science Applications
  • Electrical and Electronic Engineering


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