Title
A hybrid impulsive and sampled-data control for fractional-order delayed reaction-diffusion system of mRNA and protein in regulatory mechanisms
Abstract
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
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. Narayanan132.41
M. Syed Ali200.34
Hamed Alsulami300.34
Bashir Ahmad435655.67
J. J. Trujillo500.34