Title | ||
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A hybrid impulsive and sampled-data control for fractional-order delayed reaction-diffusion system of mRNA and protein in regulatory mechanisms |
Abstract | ||
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In genetic regulatory networks, the diffusion effects of mRNA and protein play a key role in regulatory mechanisms of gene expression, especially in translation and transcription. Hybrid impulsive and sampled-data controller are proposed in this paper. By constructing a suitable Lyapunov functional, and utilizing average impulsive interval approach, finite-time stabilization criteria are derived for fractional-order delayed reaction-diffusion genetic regulatory networks (FDRDGRNs). Meanwhile, impulsive control gains and sampled-data control gains are obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is presented to show the applicability of the proposed scheme. (C) 2022 Elsevier B.V. All rights reserved. |
Year | DOI | Venue |
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2022 | 10.1016/j.cnsns.2022.106374 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
Keywords | DocType | Volume |
Reaction-diffusion system, Fractional-order, Impulsive control, Sampled-data control, Linear matrix inequality | Journal | 111 |
ISSN | Citations | PageRank |
1007-5704 | 0 | 0.34 |
References | Authors | |
0 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
G. Narayanan | 1 | 3 | 2.41 |
M. Syed Ali | 2 | 0 | 0.34 |
Hamed Alsulami | 3 | 0 | 0.34 |
Bashir Ahmad | 4 | 356 | 55.67 |
J. J. Trujillo | 5 | 0 | 0.34 |