Design of state estimator for genetic regulatory networks with time-varying delays and randomly occurring uncertainties

Title
Design of state estimator for genetic regulatory networks with time-varying delays and randomly occurring uncertainties
Author(s)
박주현락쉬마난정호열P. Balasubramaniam[P. Balasubramaniam]S.M. Lee[S.M. Lee]
Keywords
MARKOVIAN JUMPING PARAMETERS; RECURRENT NEURAL-NETWORKS; ROBUST STABILITY ANALYSIS; H-INFINITY CONTROL; STOCHASTIC STABILITY; DISTRIBUTED DELAYS; DISCRETE; SYSTEMS; LOGIC
Issue Date
201301
Publisher
ELSEVIER SCI LTD
Citation
BIOSYSTEMS, v.111, no.1, pp.51 - 70
Abstract
In this paper, the design problem of state estimator for genetic regulatory networks with time delays and randomly occurring uncertainties has been addressed by a delay decomposition approach. The norm-bounded uncertainties enter into the genetic regulatory networks (GRNs) in random ways, and such randomly occurring uncertainties (ROUs) obey certain mutually uncorrelated Bernoulli distributed white noise sequences. Under these circumstances, the state estimator is designed to estimate the true concentration of the mRNA and the protein of the uncertain GRNs. Delay-dependent stability criteria are obtained in terms of linear matrix inequalities by constructing a Lyapunov-Krasovskii functional and using some inequality techniques (LMIs). Then, the desired state estimator, which can ensure the estimation error dynamics to be globally asymptotically robustly stochastically stable, is designed from the solutions of LMIs. Finally, a numerical example is provided to demonstrate the feasibility of the proposed estimation schemes. (C) 2012 Elsevier Ireland Ltd. All rights reserved.
URI
http://hdl.handle.net/YU.REPOSITORY/26818http://dx.doi.org/10.1016/j.biosystems.2012.11.001
ISSN
0303-2647
Appears in Collections:
공과대학 > 전기공학과 > Articles
공과대학 > 모바일정보통신공학과 > Articles
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