title: Design of state estimator for genetic regulatory networks with time-varying delays and randomly occurring uncertainties.
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.
authors.affiliation: Department of Information and Communication Engineering, Yeungnam University, 214-1 Dae-dong, Kyongsan 712-749, Republic of Korea. lakshm85@gmail.com
authors.forename: S
authors.initials: S
authors.lastname: Lakshmanan
authors.forename: Ju H
authors.initials: JH
authors.lastname: Park
authors.forename: H Y
authors.initials: HY
authors.lastname: Jung
authors.forename: P
authors.initials: P
authors.lastname: Balasubramaniam
authors.forename: S M
authors.initials: SM
authors.lastname: Lee
mesh_terms: D005786:Gene Expression Regulation / Q000235:genetics / Q000502:physiology*; D053263:Gene Regulatory Networks / Q000235:genetics / Q000502:physiology*; D008954:Models, Biological; D011506:Proteins / Q000235:genetics*; D012333:RNA, Messenger / Q000235:genetics*; D049490:Systems Biology / Q000379:methods*; D013997:Time Factors; D035501:Uncertainty
chemical_list: D011506:Proteins; D012333:RNA, Messenger