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Conference Paper: Investigating stochastic stability of uncertain genetic networks via LMIs

TitleInvestigating stochastic stability of uncertain genetic networks via LMIs
Authors
Li, JChesi, GHung, YS
KeywordsDisturbance attenuation
Genetic networks
Hypercube
Matrix polynomials
Regulatory functions
Issue Date2010
PublisherIEEE.
Citation
The 2010 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Yokohama, Japan, 8-10 September 2010. In Proceedings of CACSD, 2010, p. 731-736 How to Cite?
DOI: http://dx.doi.org/10.1109/CACSD.2010.5612866
AbstractThis paper addresses the problem of investigating stochastic stability of uncertain genetic networks with SUM regulatory functions. Specifically, the genetic network is assumed to be affected by Wiener processes, and its coefficients are parametrized by an unknown vector constrained in a hypercube. By using the square matricial representation (SMR) of matrix polynomials, it is shown that a condition for stochastic stability of the uncertain genetic network with disturbance attenuation guaranteed for all admissible values of the parameter can be derived in terms of linear matrix inequalities (LMIs). Some examples illustrate the proposed condition. © 2010 IEEE.
DescriptionPart of 2010 IEEE Multi-Conference on Systems and Control
Persistent Identifierhttp://hdl.handle.net/10722/135865
ISBN
978-1-4244-5355-9
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLi, Jen_HK
dc.contributor.authorChesi, Gen_HK
dc.contributor.authorHung, YSen_HK
dc.date.accessioned2011-07-27T01:49:44Z-
dc.date.available2011-07-27T01:49:44Z-
dc.date.issued2010en_HK
dc.identifier.citationThe 2010 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Yokohama, Japan, 8-10 September 2010. In Proceedings of CACSD, 2010, p. 731-736en_HK
dc.identifier.isbn978-1-4244-5355-9-
dc.identifier.urihttp://hdl.handle.net/10722/135865-
dc.descriptionPart of 2010 IEEE Multi-Conference on Systems and Control-
dc.description.abstractThis paper addresses the problem of investigating stochastic stability of uncertain genetic networks with SUM regulatory functions. Specifically, the genetic network is assumed to be affected by Wiener processes, and its coefficients are parametrized by an unknown vector constrained in a hypercube. By using the square matricial representation (SMR) of matrix polynomials, it is shown that a condition for stochastic stability of the uncertain genetic network with disturbance attenuation guaranteed for all admissible values of the parameter can be derived in terms of linear matrix inequalities (LMIs). Some examples illustrate the proposed condition. © 2010 IEEE.en_HK
dc.languageengen_US
dc.publisherIEEE.-
dc.relation.ispartofProceedings of the IEEE International Symposium on Computer-Aided Control System Designen_HK
dc.rights©2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.subjectDisturbance attenuation-
dc.subjectGenetic networks-
dc.subjectHypercube-
dc.subjectMatrix polynomials-
dc.subjectRegulatory functions-
dc.titleInvestigating stochastic stability of uncertain genetic networks via LMIsen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=978-1-4244-5355-9&volume=&spage=731&epage=736&date=2010&atitle=Investigating+Stochastic+Stability+of+Uncertain+Genetic+Networks+via+LMIs-
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.emailHung, YS:yshung@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.identifier.authorityHung, YS=rp00220en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CACSD.2010.5612866en_HK
dc.identifier.scopuseid_2-s2.0-78649830807en_HK
dc.identifier.hkuros187539en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78649830807&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage731en_HK
dc.identifier.epage736en_HK
dc.description.otherThe 2010 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Yokohama, Japan, 8-10 September 2010. In Proceedings of CACSD, 2010, p. 731-736-
dc.identifier.scopusauthoridLi, J=36662521500en_HK
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK

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