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Article: State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates
Title | State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates |
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Authors | |
Keywords | Genetic regulatory networks (GRNs) Markovian process Parameter uncertainties State estimation Uncertain switching probability |
Issue Date | 2009 |
Publisher | Elsevier 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/124838 |
ISSN | 2023 Impact Factor: 2.3 2023 SCImago Journal Rankings: 0.483 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Liang, J | en_HK |
dc.contributor.author | Lam, J | en_HK |
dc.contributor.author | Wang, Z | en_HK |
dc.date.accessioned | 2010-10-31T10:57:02Z | - |
dc.date.available | 2010-10-31T10:57:02Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | Physics Letters, Section A: General, Atomic And Solid State Physics, 2009, v. 373 n. 47, p. 4328-4337 | en_HK |
dc.identifier.issn | 0375-9601 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/124838 | - |
dc.description.abstract | This 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.language | eng | en_HK |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physleta | en_HK |
dc.relation.ispartof | Physics Letters, Section A: General, Atomic and Solid State Physics | en_HK |
dc.subject | Genetic regulatory networks (GRNs) | en_HK |
dc.subject | Markovian process | en_HK |
dc.subject | Parameter uncertainties | en_HK |
dc.subject | State estimation | en_HK |
dc.subject | Uncertain switching probability | en_HK |
dc.title | State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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.email | Lam, J:james.lam@hku.hk | en_HK |
dc.identifier.authority | Lam, J=rp00133 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.physleta.2009.09.055 | en_HK |
dc.identifier.scopus | eid_2-s2.0-71249161518 | en_HK |
dc.identifier.hkuros | 179604 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-71249161518&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 373 | en_HK |
dc.identifier.issue | 47 | en_HK |
dc.identifier.spage | 4328 | en_HK |
dc.identifier.epage | 4337 | en_HK |
dc.identifier.isi | WOS:000271783000006 | - |
dc.publisher.place | Netherlands | en_HK |
dc.identifier.scopusauthorid | Liang, J=24544407400 | en_HK |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_HK |
dc.identifier.scopusauthorid | Wang, Z=7410037481 | en_HK |
dc.identifier.citeulike | 5884058 | - |
dc.identifier.issnl | 0375-9601 | - |