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Title: Robust H∞ feedback control for uncertain stochastic delayed genetic regulatory networks with additive and multiplicative noise
Authors: Pan, W
Wang, Z
Gao, H
Li, Y
Du, M
Keywords: Genetic regulatory networks (GRNs);Robust H∞ feedback control;Noise attenuation;Time delay
Issue Date: 2010
Publisher: Wiley-Blackwell
Citation: International Journal of Robust and Nonlinear Control 20(18): 2093-2107, Dec 2010
Abstract: Noises are ubiquitous in genetic regulatory networks (GRNs). Gene regulation is inherently a stochastic process because of intrinsic and extrinsic noises that cause kinetic parameter variations and basal rate disturbance. Time delays are usually inevitable due to different biochemical reactions in such GRNs. In this paper, a delayed stochastic model with additive and multiplicative noises is utilized to describe stochastic GRNs. A feedback gene controller design scheme is proposed to guarantee that the GRN is mean-square asymptotically stable with noise attenuation, where the structure of the controllers can be specified according to engineering requirements. By applying control theory and mathematical tools, the analytical solution to the control design problem is given, which helps to provide some insight into synthetic biology and systems biology. The control scheme is employed in a three-gene network to illustrate the applicability and usefulness of the design.
Description: The official published version can found at the link below.
ISSN: 1049-8923
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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