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Article Dans Une Revue International Journal of Systems Science Année : 2022

Global dissipativity of fuzzy genetic regulatory networks with mixed delays

Résumé

The synthetic Genetic Regulatory Networks (GRNs) 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 (FGRNs) with mixed delays are investigated. By utilizing 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.
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Dates et versions

hal-03683846 , version 1 (01-06-2022)

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Chaouki Aouiti, Qing Hui, Emmanuel Moulay, Farid Touati. Global dissipativity of fuzzy genetic regulatory networks with mixed delays. International Journal of Systems Science, 2022, 53 (12), pp.2644-2663. ⟨10.1080/00207721.2022.2056653⟩. ⟨hal-03683846⟩
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