Please use this identifier to cite or link to this item:
Title: Robust filtering for stochastic genetic regulatory networks with time-varying delay
Authors: Wei, G
Wang, Z
Lam, J
Fraser, K
Rao, G P
Liu, X
Keywords: Genetic regulatory network;Polytopic-type uncertainty;Decay rate;Time-varying delay;Stochastic disturbance
Issue Date: 2009
Publisher: Elsevier
Citation: Mathematical Biosciences 220(2): 73-80, Aug 2009
Abstract: This paper addresses the robust filtering problem for a class of linear genetic regulatory networks (GRNs) with stochastic disturbances, parameter uncertainties and time delays. The parameter uncertainties are assumed to reside in a polytopic region, the stochastic disturbance is state-dependent described by a scalar Brownian motion, and the time-varying delays enter into both the translation process and the feedback regulation process. We aim to estimate the true concentrations of mRNA and protein by designing a linear filter such that, for all admissible time delays, stochastic disturbances as well as polytopic uncertainties, the augmented state estimation dynamics is exponentially mean square stable with an expected decay rate. A delay-dependent linear matrix inequality (LMI) approach is first developed to derive sufficient conditions that guarantee the exponential stability of the augmented dynamics, and then the filter gains are parameterized in terms of the solution to a set of LMIs. Note that LMIs can be easily solved by using standard software packages. A simulation example is exploited in order to illustrate the effectiveness of the proposed design procedures.
Description: This is the post print version of the article. The official published version can be obained from the link - Copyright 2009 Elsevier Ltd
ISSN: 0025-5564
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

Files in This Item:
File Description SizeFormat 
Fulltext.pdf241.82 kBAdobe PDFView/Open

Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.