Impulsive discrete-time GRNs with probabilistic time delays, distributed and leakage delays: an asymptotic stability issue

In this typescript, the asymptotic stability analysis issue is investigated for a discrete-time genetic regulatory networks (GRNs) with the existence of perturbations namely, probabilistic time delays, leakage delays and impulses. By enrolling Lyapunov–Krasovskii functional approach and some stochastic analysis technique, the stability formula for the labelled discrete-time GRNs are obtained in the configuration of linear matrix inequalities (LMIs). The obtained LMIs are globally asymptotically stable in the mean-square sense for all admissible uncertainties and random delays by using LMI Control tool box in MATLAB. Finally, two numerical examples with simulations are furnished to show the fruitfulness of the lodged theoretical outcomes.