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Conference Paper: Toward non-conservative stability conditions for equilibrium points of genetic networks with SUM regulatory functions

TitleToward non-conservative stability conditions for equilibrium points of genetic networks with SUM regulatory functions
Authors
KeywordsEquilibrium point
Genetic networks
Genetic regulatory networks
Global asymptotical stability
Lmi constraints
Issue Date2009
PublisherIEEE. The Journal's web site is located at http://www.ieeecss.org
Citation
The Joint 48th IEEE Conference on Decision and Control and the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 16-18 December 2009. In Proceedings of the IEEE Conference on Decision and Control, 2009, p. 5631-5636 How to Cite?
AbstractAn important problem in systems biology consists of establishing whether an equilibrium point of a genetic regulatory network is stable. This paper investigates this problem for genetic networks with SUMregulatory functions. It is shown that a sufficient condition for global asymptotical stability of an equilibrium point of these networks can be derived in terms of convex optimizations with LMI constraints by exploiting polynomial Lyapunov functions and SOS techniques. This condition is interesting because does not introduce approximations of the nonlinearities present in the genetic regulatory network, and the conservatism can be decreased by increasing the degree of the involved polynomials. ©2009 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/129649
ISSN
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.date.accessioned2010-12-23T08:40:41Z-
dc.date.available2010-12-23T08:40:41Z-
dc.date.issued2009en_HK
dc.identifier.citationThe Joint 48th IEEE Conference on Decision and Control and the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 16-18 December 2009. In Proceedings of the IEEE Conference on Decision and Control, 2009, p. 5631-5636en_HK
dc.identifier.issn0191-2216en_HK
dc.identifier.urihttp://hdl.handle.net/10722/129649-
dc.description.abstractAn important problem in systems biology consists of establishing whether an equilibrium point of a genetic regulatory network is stable. This paper investigates this problem for genetic networks with SUMregulatory functions. It is shown that a sufficient condition for global asymptotical stability of an equilibrium point of these networks can be derived in terms of convex optimizations with LMI constraints by exploiting polynomial Lyapunov functions and SOS techniques. This condition is interesting because does not introduce approximations of the nonlinearities present in the genetic regulatory network, and the conservatism can be decreased by increasing the degree of the involved polynomials. ©2009 IEEE.en_HK
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://www.ieeecss.org-
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsIEEE Conference on Decision and Control Proceedings. Copyright © IEEE.-
dc.rights©2009 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.subjectEquilibrium point-
dc.subjectGenetic networks-
dc.subjectGenetic regulatory networks-
dc.subjectGlobal asymptotical stability-
dc.subjectLmi constraints-
dc.titleToward non-conservative stability conditions for equilibrium points of genetic networks with SUM regulatory functionsen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0743-1546&volume=&spage=5631&epage=5636&date=2009&atitle=Toward+non-conservative+stability+conditions+for+equilibrium+points+of+genetic+networks+with+SUM+regulatory+functions-
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CDC.2009.5399724en_HK
dc.identifier.scopuseid_2-s2.0-77950788197en_HK
dc.identifier.hkuros176913en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77950788197&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage5631en_HK
dc.identifier.epage5636en_HK
dc.identifier.isiWOS:000336893606021-
dc.description.otherThe Joint 48th IEEE Conference on Decision and Control and the 28th Chinese Control Conference (CDC/CCC 2009), Shanghai, China, 16-18 December 2009. In Proceedings of the IEEE Conference on Decision and Control, 2009, p. 5631-5636-
dc.identifier.scopusauthoridChesi, G=7006328614en_HK

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