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Conference Paper: Toward non-conservative stability conditions for equilibrium points of genetic networks with SUM regulatory functions
| Title | Toward non-conservative stability conditions for equilibrium points of genetic networks with SUM regulatory functions |
|---|---|
| Authors | |
| Keywords | Equilibrium point Genetic networks Genetic regulatory networks Global asymptotical stability Lmi constraints |
| Issue Date | 2009 |
| Publisher | IEEE. 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? |
| Abstract | An 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 Identifier | http://hdl.handle.net/10722/129649 |
| ISSN | 2020 SCImago Journal Rankings: 0.395 |
| ISI Accession Number ID | |
| References |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chesi, G | en_HK |
| dc.date.accessioned | 2010-12-23T08:40:41Z | - |
| dc.date.available | 2010-12-23T08:40:41Z | - |
| dc.date.issued | 2009 | en_HK |
| dc.identifier.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 | en_HK |
| dc.identifier.issn | 0191-2216 | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/129649 | - |
| dc.description.abstract | An 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.language | eng | en_US |
| dc.publisher | IEEE. The Journal's web site is located at http://www.ieeecss.org | - |
| dc.relation.ispartof | Proceedings of the IEEE Conference on Decision and Control | en_HK |
| 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.subject | Equilibrium point | - |
| dc.subject | Genetic networks | - |
| dc.subject | Genetic regulatory networks | - |
| dc.subject | Global asymptotical stability | - |
| dc.subject | Lmi constraints | - |
| dc.title | Toward non-conservative stability conditions for equilibrium points of genetic networks with SUM regulatory functions | en_HK |
| dc.type | Conference_Paper | en_HK |
| dc.identifier.openurl | http://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.email | Chesi, G:chesi@eee.hku.hk | en_HK |
| dc.identifier.authority | Chesi, G=rp00100 | en_HK |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.doi | 10.1109/CDC.2009.5399724 | en_HK |
| dc.identifier.scopus | eid_2-s2.0-77950788197 | en_HK |
| dc.identifier.hkuros | 176913 | en_US |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77950788197&selection=ref&src=s&origin=recordpage | en_HK |
| dc.identifier.spage | 5631 | en_HK |
| dc.identifier.epage | 5636 | en_HK |
| dc.identifier.isi | WOS:000336893606021 | - |
| dc.description.other | 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 | - |
| dc.identifier.scopusauthorid | Chesi, G=7006328614 | en_HK |
| dc.identifier.issnl | 0191-2216 | - |