Global dissipativity of fuzzy genetic regulatory networks with mixed delays. Issue 12 (10th September 2022)

• Record Type: Journal Article
• Authors: Aouiti, Chaouki; Hui, Qing; Moulay, Emmanuel; Touati, Farid
• Is Part Of: International journal of systems science. Volume 53:Issue 12(2022)
• Page Start: 2644
• Page End: 2663
• Publication Date: 2022-09-10
• Subjects: Fuzzy genetic regulatory networks -- global dissipativity -- global exponential dissipativity -- mixed delays; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2022.2056653
• Languages: English
• ISSNs: 0020-7721

Abstract

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.