A hybrid impulsive and sampled-data control for fractional-order delayed reaction-diffusion system of mRNA and protein in regulatory mechanisms

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.

Automated summary

This paper investigates the diffusion effects of mRNA and proteins in genetic regulatory networks and proposes a hybrid impulsive and sampled-data controller. Finite-time stabilization criteria are derived for fractional-order delayed reaction-diffusion genetic regulatory networks (FDRDGRNs) by constructing a suitable Lyapunov functional and utilizing the average impulsive interval approach. The impulsive control gains and sampled-data control gains are obtained by solving a set of linear matrix inequalities (LMIs). A numerical example is presented to demonstrate the applicability of the proposed scheme.