PMID- 23195961
OWN - NLM
STAT- MEDLINE
DCOM- 20130624
LR  - 20130118
IS  - 1872-8324 (Electronic)
IS  - 0303-2647 (Linking)
VI  - 111
IP  - 1
DP  - 2013 Jan
TI  - Design of state estimator for genetic regulatory networks with time-varying 
      delays and randomly occurring uncertainties.
PG  - 51-70
LID - S0303-2647(12)00189-X [pii]
LID - 10.1016/j.biosystems.2012.11.001 [doi]
AB  - 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.
CI  - Copyright (c) 2012 Elsevier Ireland Ltd. All rights reserved.
FAU - Lakshmanan, S
AU  - Lakshmanan S
AD  - Department of Information and Communication Engineering, Yeungnam University, 
      214-1 Dae-dong, Kyongsan 712-749, Republic of Korea. lakshm85@gmail.com
FAU - Park, Ju H
AU  - Park JH
FAU - Jung, H Y
AU  - Jung HY
FAU - Balasubramaniam, P
AU  - Balasubramaniam P
FAU - Lee, S M
AU  - Lee SM
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
DEP - 20121127
PL  - Ireland
TA  - Biosystems
JT  - Bio Systems
JID - 0430773
RN  - 0 (Proteins)
RN  - 0 (RNA, Messenger)
SB  - IM
MH  - Gene Expression Regulation/genetics/*physiology
MH  - Gene Regulatory Networks/genetics/*physiology
MH  - *Models, Biological
MH  - Proteins/*genetics
MH  - RNA, Messenger/*genetics
MH  - Systems Biology/*methods
MH  - Time Factors
MH  - *Uncertainty
EDAT- 2012/12/01 06:00
MHDA- 2013/06/26 06:00
CRDT- 2012/12/01 06:00
PHST- 2012/08/27 00:00 [received]
PHST- 2012/11/12 00:00 [revised]
PHST- 2012/11/17 00:00 [accepted]
PHST- 2012/12/01 06:00 [entrez]
PHST- 2012/12/01 06:00 [pubmed]
PHST- 2013/06/26 06:00 [medline]
AID - S0303-2647(12)00189-X [pii]
AID - 10.1016/j.biosystems.2012.11.001 [doi]
PST - ppublish
SO  - Biosystems. 2013 Jan;111(1):51-70. doi: 10.1016/j.biosystems.2012.11.001. Epub 
      2012 Nov 27.