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Article: State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates

TitleState estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates
Authors
KeywordsGenetic regulatory networks (GRNs)
Markovian process
Parameter uncertainties
State estimation
Uncertain switching probability
Issue Date2009
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physleta
Citation
Physics Letters, Section A: General, Atomic And Solid State Physics, 2009, v. 373 n. 47, p. 4328-4337 How to Cite?
AbstractThis Letter is concerned with the robust state estimation problem for uncertain time-delay Markovian jumping genetic regulatory networks (GRNs) with SUM logic, where the uncertainties enter into both the network parameters and the mode transition rate. The nonlinear functions describing the feedback regulation are assumed to satisfy the sector-like conditions. The main purpose of the problem addressed is to design a linear estimator to approximate the true concentrations of the mRNA and protein through available measurement outputs. By resorting to the Lyapunov functional method and some stochastic analysis tools, it is shown that if a set of linear matrix inequalities (LMIs) is feasible, the desired state estimator, that can ensure the estimation error dynamics to be globally robustly asymptotically stable in the mean square, exists. The obtained LMI conditions are dependent on both the lower and the upper bounds of the delays. An illustrative example is presented to demonstrate the feasibility of the proposed estimation schemes. © 2009 Elsevier B.V.
Persistent Identifierhttp://hdl.handle.net/10722/124838
ISSN
2015 Impact Factor: 1.677
2015 SCImago Journal Rankings: 0.755
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiang, Jen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorWang, Zen_HK
dc.date.accessioned2010-10-31T10:57:02Z-
dc.date.available2010-10-31T10:57:02Z-
dc.date.issued2009en_HK
dc.identifier.citationPhysics Letters, Section A: General, Atomic And Solid State Physics, 2009, v. 373 n. 47, p. 4328-4337en_HK
dc.identifier.issn0375-9601en_HK
dc.identifier.urihttp://hdl.handle.net/10722/124838-
dc.description.abstractThis Letter is concerned with the robust state estimation problem for uncertain time-delay Markovian jumping genetic regulatory networks (GRNs) with SUM logic, where the uncertainties enter into both the network parameters and the mode transition rate. The nonlinear functions describing the feedback regulation are assumed to satisfy the sector-like conditions. The main purpose of the problem addressed is to design a linear estimator to approximate the true concentrations of the mRNA and protein through available measurement outputs. By resorting to the Lyapunov functional method and some stochastic analysis tools, it is shown that if a set of linear matrix inequalities (LMIs) is feasible, the desired state estimator, that can ensure the estimation error dynamics to be globally robustly asymptotically stable in the mean square, exists. The obtained LMI conditions are dependent on both the lower and the upper bounds of the delays. An illustrative example is presented to demonstrate the feasibility of the proposed estimation schemes. © 2009 Elsevier B.V.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physletaen_HK
dc.relation.ispartofPhysics Letters, Section A: General, Atomic and Solid State Physicsen_HK
dc.subjectGenetic regulatory networks (GRNs)en_HK
dc.subjectMarkovian processen_HK
dc.subjectParameter uncertaintiesen_HK
dc.subjectState estimationen_HK
dc.subjectUncertain switching probabilityen_HK
dc.titleState estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition ratesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0375-9601&volume=373&issue=47&spage=4328&epage=4337&date=2009&atitle=State+estimation+for+Markov-type+genetic+regulatory+networks+with+delays+and+uncertain+mode+transition+rates-
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.physleta.2009.09.055en_HK
dc.identifier.scopuseid_2-s2.0-71249161518en_HK
dc.identifier.hkuros179604en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-71249161518&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume373en_HK
dc.identifier.issue47en_HK
dc.identifier.spage4328en_HK
dc.identifier.epage4337en_HK
dc.identifier.isiWOS:000271783000006-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLiang, J=24544407400en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridWang, Z=7410037481en_HK
dc.identifier.citeulike5884058-

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