Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations

This work is concerned with the problem for stochastic genetic regulatory networks (GRNs) subject to mixed time delays via passivity control in which mixed time delays consist of leakage, discrete, and distributed delays. The main aim of this paper is constructing a passivity-based criteria under impulsive perturbations such that the proposed GRNs are stochastically stable. Based on the Lyapunov functional method and Jensen's integral inequality, we obtain a new set of novel passivity based delay-dependent sufficient condition in the form of LMIs, which can be determined via existing numerical software. Finally, we propose numerical simulations to show the efficiency of the proposed method.

Automated summary

This paper focuses on solving the problem of stochastic genetic regulatory networks subject to mixed time delays using passivity control. By utilizing Lyapunov functional method and Jensen's integral inequality, a new set of passivity-based delay-dependent sufficient conditions in the form of LMIs is proposed to ensure the stochastic stability of the networks under impulsive perturbations. Numerical simulations are conducted to demonstrate the efficiency of the proposed method.