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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
Publication 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.
Sponsorship: This work was funded by Royal Society of the U.K.; Foundation for the Author of National Excellent Doctoral Dissertation of China. Grant Number: 2007E4; Heilongjiang Outstanding Youth Science Fund of China. Grant Number: JC200809; Fok Ying Tung Education Foundation. Grant Number: 111064; International Science and Technology Cooperation Project of China. Grant Number: 2009DFA32050; University of Science and Technology of China Graduate Innovative Foundation.
ISSN: 1049-8923
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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