Volume 11, Issue 3 (Sep. 2015 2015)                   IJEEE 2015, 11(3): 204-216 | Back to browse issues page

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Mohammadian M, Momeni H R, Tahmasebi M. H∞ Sampled-Data Controller Design for Stochastic Genetic Regulatory Networks. IJEEE. 2015; 11 (3) :204-216
URL: http://ijeee.iust.ac.ir/article-1-760-en.html
Abstract:   (2074 Views)

Artificially regulating gene expression is an important step in developing new
treatment for system-level disease such as cancer. In this paper, we propose a method to
regulate gene expression based on sampled-data measurements of gene products
concentrations. Inherent noisy behaviour of Gene regulatory networks are modeled with
stochastic nonlinear differential equation. To synthesize feedback controller, we formulate
sampling process as an impulsive system. By using a new Lyapunov function with
discontinuities at sampling times, state feedback gain that guarantees exponential meansquare
stability and H&infin performance is derived from LMIs. These LMIs also determine the
maximum allowable time between sampling points. A numerical example and a practical
application are presented to justify the applicability of the theoretical results


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Type of Study: Research Paper | Subject: Stochastic Control
Received: 2015/02/02 | Accepted: 2015/10/20 | Published: 2015/10/20