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Global dissipativity of fuzzy genetic regulatory networks with mixed delays

Author

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  • Chaouki Aouiti
  • Qing Hui
  • Emmanuel Moulay
  • Farid Touati

Abstract

The synthetic genetic regulatory networks have proven to be a powerful tool in studying gene regulation processes in living organisms. In this article, the global dissipativity and corresponding attractive set for the fuzzy genetic regulatory networks with mixed delays are investigated. By utilising the Lyapunov functional method and the linear matrix inequalities (LMIs) techniques, new sufficient conditions ensuring the global dissipativity and the global exponential dissipativity of the suggested system are given. Moreover, the global attractive set and global exponential attractive set are obtained. The derived criteria are of the form of LMI, and hence they can be verified easily by the numerical software. Lastly, two numerical examples with its simulations are given to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Chaouki Aouiti & Qing Hui & Emmanuel Moulay & Farid Touati, 2022. "Global dissipativity of fuzzy genetic regulatory networks with mixed delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(12), pages 2644-2663, September.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2644-2663
    DOI: 10.1080/00207721.2022.2056653
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    Cited by:

    1. Wang, Chen & Zhang, Hai & Ye, Renyu & Zhang, Weiwei & Zhang, Hongmei, 2023. "Finite time passivity analysis for Caputo fractional BAM reaction–diffusion delayed neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 424-443.

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