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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.