Ratnavelu, Kurunathan and Kalpana, Muthusamy and Balasubramaniam, Pagavathi (2018) Stability Analysis of Fuzzy Genetic Regulatory Networks with Various Time Delays. Bulletin of the Malaysian Mathematical Sciences Society, 41 (1). pp. 491-505. ISSN 0126-6705, DOI https://doi.org/10.1007/s40840-016-0427-y.
Full text not available from this repository.Abstract
The synthetic genetic regulatory networks (GRNs) prove to be a powerful tool in studying gene regulation processes in living organisms. In order to take vagueness into consideration, fuzzy theory is incorporated in the GRNs and we found a novel system, namely fuzzy genetic regulatory networks (FGRNs). By applying the Homeomorphism theorem, we demonstrated an existence, uniqueness, and asymptotic stability analysis of the equilibrium point of FGRNs with time delay in the leakage term and unbounded distributed delays. By utilizing Lyapunov functional method and the linear matrix inequality (LMI) techniques, some new and useful criteria of the FGRNs with respect to the equilibrium point are derived. The derived criteria are of the form of LMI, and hence they can be verified easily. Finally, illustrative example with simulations are demonstrated to prove the effectiveness of the proposed results.
| Item Type: | Article |
|---|---|
| Funders: | University of Malaya HIR Grant UM.C/625/1/HIR/ MOHE/SC/13 |
| Uncontrolled Keywords: | Asymptotic stability; Fuzzy genetic regulatory networks; Homeomorphism theorem; Leakage delay; Linear matrix inequality |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 15 Apr 2019 09:04 |
| Last Modified: | 15 Apr 2019 09:04 |
| URI: | http://eprints.um.edu.my/id/eprint/20909 |
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