Delay-dependent H∞ control for stochastic genetic regulatory networks with interval time-varying delays

This paper is concerned with H
∞
control for a new genetic regulatory network (GRN) model with both intrinsic perturbation and extrinsic perturbation. A delay- and range-dependent criterion for a given H
∞
performance is established via employing an improved free-weighting matrix approach. At the same time, H
∞
feedback controllers are designed to regulate the noise influences. To demonstrate the effectiveness of the obtained theoretical results, two numerical examples are presented in this paper.